Liste des publications de l’équipe AGC3

  • Gianira Alfarano, Martino Borello, Alessandro Neri. Outer strong blocking sets. The Electronic Journal of Combinatorics, In press. (hal-04508476⟩
  • Aqsa Bashir, Wolfgang Schmid. SETS OF CROSS NUMBERS OF SEQUENCES OVER FINITE ABELIAN GROUPS. 2024. (hal-04546837⟩
  • Daniele Bartoli, Martino Borello, Giuseppe Marino. Saturating linear sets of minimal rank. Finite Fields and Their Applications, 2024, 95, pp.102390. (10.1016/j.ffa.2024.102390⟩. ⟨hal-04508482⟩
  • Claude Carlet, Rebeka Kiss, Gábor Nagy. Simplicity conditions for binary orthogonal arrays. Designs, Codes and Cryptography, 2023, 91 (1), pp.151-163. (10.1007/s10623-022-01105-4⟩. ⟨hal-03960664⟩
  • Claude Carlet, Domagoj Jakobovic, Stjepan Picek. Evolutionary algorithms-assisted construction of cryptographic boolean functions. ACM, pp.565-573, (10.1145/3449639.3459362⟩. ⟨hal-03966535⟩
  • Youness El Marhraoui, Hamdi Amroun, Mehdi Ammi, Mehdi Boukallel, Sylvain Bouchigny, et al.. ANR-CPLAY : Outil de rééducation fonctionnelle du membre supérieur pour l'enfant atteint de paralysie cérébrale et troubles afférents. Colloque en TéléSANté et dispositifs biomédicaux, Université Paris 8, CNRS,, Jun 2023, Paris Saint Denis, France. (hal-04220644⟩
  • Deng Tang, Claude Carlet, Xiaohu Tang, Zhengchun Zhou. Construction of Highly Nonlinear 1-Resilient Boolean Functions with Optimal Algebraic Immunity and Provably High Fast Algebraic Immunity. IEEE Transactions on Information Theory, 2023, pp.1-1. (10.1109/TIT.2017.2725918⟩. ⟨hal-03966914⟩
  • Youness El Marhraoui, Hamdi Amroun, Mehdi Boukallel, Sylvain Bouchigny, Sabrina Panëels, et al.. ANR-CPLAY : Outil de rééducation fonctionnelle du membre supérieur pour l'enfant atteint de paralysie cérébrale et troubles afférents. Colloque en TéléSANté et dispositifs biomédicaux, Université Paris 8, CNRS,, Jun 2023, Paris Saint Denis, France. (hal-04220742⟩
  • Claude Carlet, Sihem Mesnager. On those multiplicative subgroups of $${\mathbb F}_{2^n}^*$$ which are Sidon sets and/or sum-free sets. Journal of Algebraic Combinatorics, 2022, 55 (1), pp.43-59. (10.1007/s10801-020-00988-7⟩. ⟨hal-03960675⟩
  • Claude Carlet. A Wide Class of Boolean Functions Generalizing the Hidden Weight Bit Function. IEEE Transactions on Information Theory, 2022, 68 (2), pp.1355-1368. (10.1109/TIT.2021.3126684⟩. ⟨hal-03961483⟩
  • Matteo Bonini, Martino Borello, Eimear Byrne. Saturating systems and the rank covering radius. 2022. (hal-03857719⟩
  • Kwang Ho Kim, Sihem Mesnager. Solving X 2 3 n + 2 2 n + 2 n − 1 + ( X + 1 ) 2 3 n + 2 2 n + 2 n − 1 = b in F 2 4 n and an alternative proof of a conjecture on the differential spectrum of the related monomial functions. Finite Fields and Their Applications, 2022, 83, pp.102086. (10.1016/j.ffa.2022.102086⟩. ⟨hal-03960659⟩
  • Martino Borello, Wolfgang Willems, Giovanni Zini. On ideals in group algebras: an uncertainty principle and the Schur product. Forum Mathematicum, 2022, (10.1515/forum-2022-0064⟩. ⟨hal-03852312⟩
  • Martino Borello, Wolfgang Willems. ON THE ALGEBRAIC STRUCTURE OF QUASI GROUP CODES. Journal of Algebra and Its Applications, 2022, (10.1142/S0219498823502225⟩. ⟨hal-03852311⟩
  • Claude Carlet. On APN Functions Whose Graphs are Maximal Sidon Sets. 13568, Springer International Publishing, pp.243-254, 2022, Lecture Notes in Computer Science, (10.1007/978-3-031-20624-5_15⟩. ⟨hal-03965443⟩
  • Pan Tan, Cuiling Fan, Sihem Mesnager, Wei Guo. Linear codes from support designs of ternary cyclic codes. Designs, Codes and Cryptography, 2022, 90 (3), pp.681-693. (10.1007/s10623-021-01001-3⟩. ⟨hal-03960674⟩
  • Sihem Mesnager, Sihong Su, Jingjing Li, Linya Zhu. Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (6), pp.1371-1389. (10.1007/s12095-022-00603-5⟩. ⟨hal-03960656⟩
  • Said Eddahmani, Sihem Mesnager. Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the gold, and the Bracken-Leander S-boxes. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (6), pp.1301-1344. (10.1007/s12095-022-00581-8⟩. ⟨hal-03960658⟩
  • Martino Borello, Javier de la Cruz, Wolfgang Willems. On checkable codes in group algebras. Journal of Algebra and Its Applications, 2022, 21 (06), (10.1142/S0219498822501250⟩. ⟨hal-03852305⟩
  • Daniele Bartoli, Martino Borello. Small Strong Blocking Sets by Concatenation. 2022. (hal-03857727⟩
  • Youness El Marhraoui, Hamdi Amroun, Mehdi Boukallel, Margarita Anastassova, Sylvie Lamy, et al.. Foot-to-ground phases detection: a comparison of data representation formatting methods with respect to adaption of deep learning architectures. Computers, 2022, 11 (5), pp.58. (10.3390/computers11050058⟩. ⟨hal-03903281⟩
  • Peihua Li, Cuiling Fan, Sihem Mesnager, Yang Yang, Zhengchun Zhou. Constructions of Optimal Uniform Wide-Gap Frequency-Hopping Sequences. IEEE Transactions on Information Theory, 2022, 68 (1), pp.692-700. (10.1109/TIT.2021.3123395⟩. ⟨hal-03960679⟩
  • Yanjun Li, Haibin Kan, Sihem Mesnager, Jie Peng, Chik How Tan, et al.. Generic Constructions of (Boolean and Vectorial) Bent Functions and Their Consequences. IEEE Transactions on Information Theory, 2022, 68 (4), pp.2735-2751. (10.1109/TIT.2022.3140180⟩. ⟨hal-03960662⟩
  • Sihem Mesnager, Alexey Oblaukhov. Classification of the Codewords of Weights 16 and 18 of the Reed-Muller Code RM(n-3,n). IEEE Transactions on Information Theory, 2022, 68 (2), pp.940-952. (10.1109/TIT.2021.3128495⟩. ⟨hal-03960677⟩
  • Ruikai Chen, Sihem Mesnager. A function field approach toward good polynomials for further results on optimal LRC codes. Finite Fields and Their Applications, 2022, 81, pp.102028. (10.1016/j.ffa.2022.102028⟩. ⟨hal-03960667⟩
  • Makhan Maji, Sihem Mesnager, Santanu Sarkar, Kalyan Hansda. On One-Dimensional Linear Minimal Codes Over Finite (Commutative) Rings. IEEE Transactions on Information Theory, 2022, 68 (5), pp.2990-2998. (10.1109/TIT.2021.3133959⟩. ⟨hal-03960661⟩
  • Lilya Budaghyan, Marco Calderini, Claude Carlet, Diana Davidova, Nikolay Kaleyski. On Two Fundamental Problems on APN Power Functions. IEEE Transactions on Information Theory, 2022, 68 (5), pp.3389-3403. (10.1109/TIT.2022.3147060⟩. ⟨hal-03963041⟩
  • Christof Beierle, Claude Carlet, Gregor Leander, Léo Perrin. A further study of quadratic APN permutations in dimension nine. Finite Fields and Their Applications, 2022, 81, pp.102049. (10.1016/j.ffa.2022.102049⟩. ⟨hal-03901618⟩
  • Huicong Liang, Sihem Mesnager, Meiqin Wang. Cryptanalysis of the AEAD and hash algorithm DryGASCON. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (3), pp.597-625. (10.1007/s12095-021-00542-7⟩. ⟨hal-03960665⟩
  • Zhi Gu, Zhengchun Zhou, Sihem Mesnager, Udaya Parampalli. A new family of polyphase sequences with low correlation. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (1), pp.135-144. (10.1007/s12095-021-00522-x⟩. ⟨hal-03960670⟩
  • Kwang Ho Kim, Sihem Mesnager, Jong Hyok Choe, Dok Nam Lee, Sengsan Lee, et al.. On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity. Designs, Codes and Cryptography, 2022, 90 (6), pp.1437-1461. (10.1007/s10623-022-01047-x⟩. ⟨hal-03960666⟩
  • Kwang Ho Kim, Sihem Mesnager, Jong Hyok Choe, Dok Nam Lee. Preimages of p −Linearized Polynomials over ${\mathbb {F}}_{p}$. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (1), pp.75-86. (10.1007/s12095-021-00514-x⟩. ⟨hal-03960672⟩
  • Gianira Alfarano, Martino Borello, Alessandro Neri, Alberto Ravagnani. Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric. Journal of Combinatorial Theory, Series A, 2022, 192, pp.105658. (10.1016/j.jcta.2022.105658⟩. ⟨hal-03852310⟩
  • Claude Carlet, Pierrick Meaux. A Complete Study of Two Classes of Boolean Functions: Direct Sums of Monomials and Threshold Functions. IEEE Transactions on Information Theory, 2022, 68 (5), pp.3404-3425. (10.1109/TIT.2021.3139804⟩. ⟨hal-03965436⟩
  • Qi Liu, Cunsheng Ding, Sihem Mesnager, Chunming Tang, Vladimir Tonchev. Survey on recent trends towards generalized differential and boomerang uniformities. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2022, 14 (4), pp.691-735. (10.1109/TIT.2021.3139687⟩. ⟨hal-03960660⟩
  • Hui Zhang, Cuiling Fan, Sihem Mesnager. Constructions of two-dimensional Z-complementary array pairs with large ZCZ ratio. Designs, Codes and Cryptography, 2022, 90 (5), pp.1221-1239. (10.1007/s10623-022-01035-1⟩. ⟨hal-03960668⟩
  • Tao Yu, Meng Yang, Sihem Mesnager, Yang Yang. Constructions of Z-optimal Type-II quadriphase Z-complementary pairs. Discrete Mathematics, 2022, 345 (2), pp.112685. (10.1016/j.disc.2021.112685⟩. ⟨hal-03960681⟩
  • Zhenyu Lu, Sihem Mesnager, Tingting Cui, Yanhong Fan, Meiqin Wang. An STP-based model toward designing S-boxes with good cryptographic properties. Designs, Codes and Cryptography, 2022, 90 (5), pp.1179-1202. (10.1007/s10623-022-01034-2⟩. ⟨hal-03960669⟩
  • Martino Borello, Paolo Santonastaso, Ferdinando Zullo. Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras. 2022. (hal-03857686⟩
  • Gianira Alfarano, Martino Borello, Alessandro Neri, Alberto Ravagnani. Three Combinatorial Perspectives on Minimal Codes. SIAM Journal on Discrete Mathematics, 2022, 36 (1), pp.461-489. (10.1137/21M1391493⟩. ⟨hal-03852308⟩
  • Safia Boukheche, Kamil Merito, Oscar Ordaz, Wolfgang Schmid. Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers. Communications in Algebra, 2022, 50 (10), pp.4195-4217. (10.1080/00927872.2022.2058009⟩. ⟨hal-03551892⟩
  • Chunyu Gan, Chengju Li, Sihem Mesnager, Haifeng Qian. On Hulls of Some Primitive BCH Codes and Self-Orthogonal Codes. IEEE Transactions on Information Theory, 2021, 67 (10), pp.6442-6455. (10.1109/TIT.2021.3076878⟩. ⟨hal-03960617⟩
  • Wei Cheng, Sylvain Guilley, Claude Carlet, Sihem Mesnager, Jean-Luc Danger. Optimizing Inner Product Masking Scheme by a Coding Theory Approach. IEEE Transactions on Information Forensics and Security, 2021, 16, pp.220-235. (10.1109/TIFS.2020.3009609⟩. ⟨hal-03966523⟩
  • Martino Borello, Patrick Solé. The uncertainty principle over finite fields. Discrete Mathematics, 2021. (hal-03272955⟩
  • Sihem Mesnager, Chunming Tang. Fast Algebraic Immunity of Boolean Functions and LCD Codes. IEEE Transactions on Information Theory, 2021, 67 (7), pp.4828-4837. (10.1109/TIT.2021.3056716⟩. ⟨hal-03960632⟩
  • Kwang Ho Kim, Junyop Choe, Sihem Mesnager. Solving X+1 + X + a = 0 over finite fields. Finite Fields and Their Applications, 2021, 70, pp.101797. (10.1016/j.ffa.2020.101797⟩. ⟨hal-03960644⟩
  • Claude Carlet, Sylvain Guilley, Sihem Mesnager. Structural Attack (and Repair) of Diffused-Input-Blocked-Output White-Box Cryptography. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2021, pp.57-87. (10.46586/tches.v2021.i4.57-87⟩. ⟨hal-03966512⟩
  • Yubo Li, Kangquan Li, Sihem Mesnager, Longjiang Qu. More permutations and involutions for constructing bent functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, 13 (3), pp.459-473. (10.1007/s12095-021-00482-2⟩. ⟨hal-03960609⟩
  • Sihem Mesnager. Linear codes from functions. Concise encyclopedia of coding theory, , pp.463--526, 2021, 9781315147901. (hal-03960624⟩
  • Sihem Mesnager, Constanza Riera, Pantelimon Stanica, Haode Yan, Zhengchun Zhou. Investigations on c -(Almost) Perfect Nonlinear Functions. IEEE Transactions on Information Theory, 2021, 67 (10), pp.6916-6925. (10.1109/TIT.2021.3081348⟩. ⟨hal-03960613⟩
  • Kwang Ho Kim, Jong Hyok Choe, Sihem Mesnager. Complete solution over F p n of the equation X p k + 1 + X + a = 0. Finite Fields and Their Applications, 2021, 76, pp.101902. (10.1016/j.ffa.2021.101902⟩. ⟨hal-03960627⟩
  • M. Boumezbeur, Sihem Mesnager, K. Guenda. Linear codes from vectorial Boolean functions in the context of algebraic attacks. Discrete Mathematics, Algorithms and Applications, 2021, 13 (03), pp.2150032. (10.1142/S1793830921500324⟩. ⟨hal-03960619⟩
  • Sihem Mesnager, Ferruh Özbudak, Ahmet Sinak. Secondary constructions of (non)weakly regular plateaued functions over finite fields. Turkish Journal of Mathematics, 2021, 45 (5), pp.2295-2306. (10.3906/mat-2104-5⟩. ⟨hal-03960600⟩
  • Sihem Mesnager, Sihong Su. On constructions of weightwise perfectly balanced Boolean functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, 13 (6), pp.951-979. (10.1007/s12095-021-00481-3⟩. ⟨hal-03960605⟩
  • Martino Borello, Francesca Dalla Volta, Giovanni Zini. The Möbius function of PSL(3,2p) for any prime p. International Journal of Algebra and Computation, 2021, 31 (06), pp.987-1011. (10.1142/S0218196721400014⟩. ⟨hal-03852304⟩
  • Martino Borello, Cem Güneri, Elif Saçikara, Patrick Solé. THE CONCATENATED STRUCTURE OF QUASI-ABELIAN CODES. Designs, Codes and Cryptography, 2021, (10.1007/s10623-021-00921-4⟩. ⟨hal-03346416⟩
  • Martino Borello, Abdelillah Jamous. Dihedral Codes with Prescribed Minimum Distance. Arithmetic of Finite Fields, 12542, Springer International Publishing, pp.147-159, 2021, Lecture Notes in Computer Science, (10.1007/978-3-030-68869-1_8⟩. ⟨hal-03852303⟩
  • Hang Chen, Cunsheng Ding, Sihem Mesnager, Chunming Tang. A Novel Application of Boolean Functions With High Algebraic Immunity in Minimal Codes. IEEE Transactions on Information Theory, 2021, 67 (10), pp.6856-6867. (10.1109/TIT.2021.3102314⟩. ⟨hal-03960615⟩
  • Jian Ding, Changlu Lin, Sihem Mesnager. Secret sharing schemes based on the dual of Golay codes. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, 13 (6), pp.1025-1041. (10.1007/s12095-021-00531-w⟩. ⟨hal-03960604⟩
  • Ruikai Chen, Sihem Mesnager, Chang-An Zhao. Good polynomials for optimal LRC of low locality. Designs, Codes and Cryptography, 2021, 89 (7), pp.1639-1660. (10.1007/s10623-021-00886-4⟩. ⟨hal-03960639⟩
  • Wei Cheng, Claude Carlet, Kouassi Goli, Jean-Luc Danger, Sylvain Guilley. Detecting faults in inner product masking scheme. Journal of Cryptographic Engineering, 2021, 11 (2), pp.119-133. (10.1007/s13389-020-00227-6⟩. ⟨hal-03966497⟩
  • Diana Davidova, Lilya Budaghyan, Claude Carlet, Tor Helleseth, Ferdinand Ihringer, et al.. Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields and Their Applications, 2021, 72, pp.101834. (10.1016/j.ffa.2021.101834⟩. ⟨hal-03965458⟩
  • Kanat Abdukhalikov, Cunsheng Ding, Sihem Mesnager, Chunming Tang, Maosheng Xiong. Cyclic Bent Functions and Their Applications in Sequences. IEEE Transactions on Information Theory, 2021, 67 (6), pp.3473-3485. (10.1109/TIT.2021.3057896⟩. ⟨hal-03960634⟩
  • Liqin Qian, Xiwang Cao, Sihem Mesnager. Linear codes with one-dimensional hull associated with Gaussian sums. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, 13 (2), pp.225-243. (10.1007/s12095-020-00462-y⟩. ⟨hal-03960638⟩
  • Sumit Kumar Debnath, Sihem Mesnager, Kunal Dey, Nibedita Kundu. Post-Quantum Secure Inner Product Functional Encryption Using Multivariate Public Key Cryptography. Mediterranean Journal of Mathematics, 2021, 18 (5), pp.204. (10.1007/s00009-021-01841-2⟩. ⟨hal-03960628⟩
  • Yanhong Fan, Sihem Mesnager, Weijia Wang, Yongqing Li, Tingting Cui, et al.. Investigation for 8-bit SKINNY-like S-boxes, analysis and applications. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, 13 (5), pp.617-636. (10.1007/s12095-021-00486-y⟩. ⟨hal-03960607⟩
  • Wei Cheng, Sylvain Guilley, Claude Carlet, Jean-Luc Danger, Sihem Mesnager. Information Leakages in Code-based Masking: A Unified Quantification Approach. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2021, pp.465-495. (10.46586/tches.v2021.i3.465-495⟩. ⟨hal-03966505⟩
  • Claude Carlet. Bounds on the Nonlinearity of Differentially Uniform Functions by Means of Their Image Set Size, and on Their Distance to Affine Functions. IEEE Transactions on Information Theory, 2021, 67 (12), pp.8325-8334. (10.1109/TIT.2021.3114958⟩. ⟨hal-03966531⟩
  • Sihem Mesnager. ``{Readers} digest of'' 17-year achievements on {Boolean} and vectorial functions and open problems.. Cryptography and coding theory conference, 2021, Rome (Italia), Italy. (hal-03960654⟩
  • Sihem Mesnager, Sihong Su. On Correlation Immune Boolean Functions With Minimum Hamming Weight Power of 2. IEEE Transactions on Information Theory, 2021, 67 (11), pp.7501-7517. (10.1109/TIT.2021.3109946⟩. ⟨hal-03960612⟩
  • Sihem Mesnager, Sihong Su, Hui Zhang. A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity. Designs, Codes and Cryptography, 2021, 89 (1), pp.1-17. (10.1007/s10623-020-00806-y⟩. ⟨hal-03960647⟩
  • Kwang Ho Kim, Junyop Choe, Sihem Mesnager. Solving X q+1 + X + a = 0 over finite fields. Finite Fields and Their Applications, 2021, 70, pp.101797 -. (10.1016/j.ffa.2020.101797⟩. ⟨hal-03493884⟩
  • Alfred Geroldinger, Wolfgang Schmid. A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions. Revista Matemática Iberoamericana, 2021, 37 (1), pp.293-316. (10.4171/RMI/1207⟩. ⟨hal-01976941v2⟩
  • Claude Carlet, Kwang Ho Kim, Sihem Mesnager. A direct proof of APN-ness of the Kasami functions. Designs, Codes and Cryptography, 2021, 89 (3), pp.441-446. (10.1007/s10623-020-00830-y⟩. ⟨hal-03960643⟩
  • Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert Coulter, Irene Villa. Generalized isotopic shift construction for APN functions. Designs, Codes and Cryptography, 2021, 89 (1), pp.19-32. (10.1007/s10623-020-00803-1⟩. ⟨hal-03965452⟩
  • Laetitia Debesse, Sihem Mesnager, Mounira Msahli. POSTER: Resistance Analysis of Two AES-Like Against the Boomerang Attack. Applied Cryptography and Network Security Workshops, 12809, Springer International Publishing, pp.485-489, 2021, Lecture Notes in Computer Science, (10.1007/978-3-030-81645-2_27⟩. ⟨hal-03569438⟩
  • Sihem Mesnager, Bimal Mandal, Mounira Msahli. Survey on recent trends towards generalized differential and boomerang uniformities. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2021, (10.1007/s12095-021-00551-6⟩. ⟨hal-03569465⟩
  • Matteo Bonini, Martino Borello. MINIMAL LINEAR CODES ARISING FROM BLOCKING SETS. Journal of Algebraic Combinatorics, 2021, 53 (2), pp.327-341. (10.1007/s10801-019-00930-6⟩. ⟨hal-03852301⟩
  • Kangquan Li, Sihem Mesnager, Longjiang Qu. Further Study of 2-to-1 Mappings Over F 2 n. IEEE Transactions on Information Theory, 2021, 67 (6), pp.3486-3496. (10.1109/TIT.2021.3057094⟩. ⟨hal-03960633⟩
  • Wei Cheng, Sylvain Guilley, Claude Carlet, Jean-Luc Danger, Sihem Mesnager. Information Leakages in Code-based Masking: A Unified Quantification Approach. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2021, pp.465-495. (10.46586/tches.v2021.i3.465-495⟩. ⟨hal-03299035⟩
  • Claude Carlet. On the Properties of the Boolean Functions Associated to the Differential Spectrum of General APN Functions and Their Consequences. IEEE Transactions on Information Theory, 2021, 67 (10), pp.6926-6939. (10.1109/TIT.2021.3081139⟩. ⟨hal-03966525⟩
  • Sihem Mesnager, Ahmet Sinak. Several Classes of Minimal Linear Codes With Few Weights From Weakly Regular Plateaued Functions. IEEE Transactions on Information Theory, 2020, 66 (4), pp.2296-2310. (10.1109/TIT.2019.2956130⟩. ⟨hal-03959048⟩
  • Martino Borello, Wolfgang Willems. Group codes over fields are asymptotically good. Finite Fields and Their Applications, 2020, 68, pp.101738 -. (10.1016/j.ffa.2020.101738⟩. ⟨hal-03492172⟩
  • Sihem Mesnager, Y. Qi, H. Ru, C. Tang. Minimal linear codes from characteristic functions. IEEE Transactions on Information Theory, 2020. (hal-03973281⟩
  • Benjamin Girard, Wolfgang Schmid. Inverse zero-sum problems for certain groups of rank three. Acta Mathematica Hungarica, 2020, 160 (1), pp.229-247. (10.1007/s10474-019-00983-w⟩. ⟨hal-01869161v2⟩
  • Claude Carlet, Marko Djurasevic, Domagoj Jakobovic, Stjepan Picek. A Search for Additional Structure: The Case of Cryptographic S-boxes. 12270, Springer International Publishing, pp.343-356, 2020, Lecture Notes in Computer Science, (10.1007/978-3-030-58115-2_24⟩. ⟨hal-03966558⟩
  • Y. Qi, Sihem Mesnager, C. Tang. Codebooks from generalized bent Z4-valued quadratic forms. Discrete Mathematics, 2020. (hal-03053949⟩
  • Sihem Mesnager. On generalized hyper-bent functions. Cryptography and Communications-Discrete Structures, Boolean Functions, and Sequences (CCDS), 2020. (hal-03053939⟩
  • Sihem Mesnager, Bimal Mandal, Chunming Tang. New characterizations and construction methods of bent and hyper-bent Boolean functions. Discrete Mathematics, 2020, 343 (11), pp.112081. (10.1016/j.disc.2020.112081⟩. ⟨hal-03959053⟩
  • Sihem Mesnager, B. Mandal, C. Tang. New characterizations and construction methods of bent and hyper-bent Boolean functions. Discrete Mathematics, 2020. (hal-03085452⟩
  • Claude Carlet. Graph Indicators of Vectorial Functions and Bounds on the Algebraic Degree of Composite Functions. IEEE Transactions on Information Theory, 2020, 66 (12), pp.7702-7716. (10.1109/TIT.2020.3017494⟩. ⟨hal-03966556⟩
  • Jinjin Chai, Sihem Mesnager, Zilong Wang. New characterizations for the multi-output correlation-immune Boolean functions. Discrete Mathematics, 2020, 343 (11), pp.112082. (10.1016/j.disc.2020.112082⟩. ⟨hal-03959049⟩
  • Sihem Mesnager. On generalized hyper-bent functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2020, 12 (3), pp.455-468. (10.1007/s12095-019-00390-6⟩. ⟨hal-03959044⟩
  • Xin Ling, Sihem Mesnager, Yanfeng Qi, Chunming Tang. A class of narrow-sense BCH codes over $$\mathbb {F}_q$$ of length $$\frac{q^m-1}{2}$$. Designs, Codes and Cryptography, 2020, 88 (2), pp.413-427. (10.1007/s10623-019-00691-0⟩. ⟨hal-03959056⟩
  • Sihem Mesnager, Kwang Ho Kim, Dujin Jo, Junyop Choe, Munhyon Han, et al.. A proof of the Beierle–Kranz–Leander conjecture related to lightweight multiplication in $$\mathbb {F}_{2^n}$$. Designs, Codes and Cryptography, 2020, 88 (1), pp.51-62. (10.1007/s10623-019-00665-2⟩. ⟨hal-03959059⟩
  • Sihem Mesnager, A. Sinak. Several classes of minimal linear codes with few weights from weakly regular plateaued function. IEEE Transactions on Information Theory, 2020. (hal-03048656⟩
  • K. H. Kim, Sihem Mesnager. Solving $x^{2^k+1}+x+a=0$ in $\mathbb{F}_{2^n}$ with $\gcd(n,k)=1$. Finite Fields and Their Applications, 2020. (hal-03048680⟩
  • J. Chai, Sihem Mesnager, Z. Wang. New Characterizations for the Multi-output Correlation- Immune Boolean Functions. Discrete Mathematics, 2020. (hal-03085481⟩
  • Sihem Mesnager, K. H. Kim, D. Jo, J. Choe, M. Han, et al.. A Proof of the Beierle-Kranz-Leander Conjecture related to Lightweight Multiplication in $F_2^n$. Journal of Designs, Codes, and Cryptography, 2020. (hal-03048614⟩
  • Sihem Mesnager, Kwang Ho Kim, Jong Hyok Choe, Dok Nam Lee. Solving some affine equations over finite fields. Finite Fields and Their Applications, 2020, 68, pp.101746 -. (10.1016/j.ffa.2020.101746⟩. ⟨hal-03491978⟩
  • Sihem Mesnager, K.H. Kim, M.S. Jo.. On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions.. Cryptography and Communications- Discrete Structures, Boolean Functions, and Sequences (CCDS),, 2020. (hal-03053931⟩
  • Sihem Mesnager, Kwang Ho Kim, Jong Hyok Choe, Dok Nam Lee, Dae Song Go. Solving $x+x^{2^{l}}+\cdots +x^{2^{ml}}=a$ over $\mathbb {F}_{2^{n}}$. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2020, 12 (4), pp.809-817. (10.1007/s12095-020-00425-3⟩. ⟨hal-03959040⟩
  • Alfred Geroldinger, Wolfgang Schmid. ON THE INCOMPARABILITY OF SYSTEMS OF SETS OF LENGTHS. 2020. (hal-02566257v2⟩
  • Martino Borello, Pieter Moree, Patrick Solé. Asymptotic performance of metacyclic codes. Discrete Mathematics, 2020, 343 (7), pp.111885. (hal-02523289⟩
  • Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert Coulter, Irene Villa. Constructing APN Functions Through Isotopic Shifts. IEEE Transactions on Information Theory, 2020, 66 (8), pp.5299-5309. (10.1109/TIT.2020.2974471⟩. ⟨hal-03966547⟩
  • Claude Carlet. Handling Vectorial Functions by Means of Their Graph Indicators. IEEE Transactions on Information Theory, 2020, 66 (10), pp.6324-6339. (10.1109/TIT.2020.2981524⟩. ⟨hal-03966553⟩
  • Sihem Mesnager, K.H. Kim, J.H. Choe, D.N. Lee, D.S. Go. Solving $x+x^{2^l}+\cdots+x^{2^{ml}}=a$ over $\mathbb{F}_{2^n}$.. Cryptography and Communications-Discrete Structures, Boolean Functions, and Sequences (CCDS), 2020. (hal-03053979⟩
  • Kwang Ho Kim, Sihem Mesnager. Solving x 2 k + 1 + x + a = 0 in F 2 n with gcd ⁡ ( n , k ) = 1. Finite Fields and Their Applications, 2020, 63, pp.101630 -. (10.1016/j.ffa.2019.101630⟩. ⟨hal-03489918⟩
  • Sihem Mesnager, C. Tang, M. Xiong. On the boomerang uniformity of quadratic permutations. Journal of Designs, Codes, and Cryptography, 2020. (hal-03085439⟩
  • Claude Carlet. Boolean Functions for Cryptography and Coding Theory. Cambridge University Press, 1, 2020, (10.1017/9781108606806⟩. ⟨hal-03965447⟩
  • X. Ling, Sihem Mesnager, Y. Qi, C. Tang. A class of narrow-sense BCH codes over $\mathbb{F}_q$ of length $\frac{q^m-1}{2}$. Journal of Designs, Codes, and Cryptography, 2020. (hal-03048625⟩
  • Martino Borello, Javier de la Cruz, Wolfgang Willems. A note on linear complementary pairs of group codes. Discrete Mathematics, 2020, 343 (8), pp.111905. (10.1016/j.disc.2020.111905⟩. ⟨hal-03852292⟩
  • Sihem Mesnager, Kwang Ho Kim, Myong Song Jo. On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2020, 12 (4), pp.659-674. (10.1007/s12095-019-00410-5⟩. ⟨hal-03959042⟩
  • Sihem Mesnager, K. H. Kim, J. Choe, C. Tang. On the Menezes-Teske-Weng conjecture. Cryptography and Communications–Discrete Structures, Boolean Functions, and Sequences, 2020. (hal-03048644⟩
  • Zongrun Du, Chengju Li, Sihem Mesnager. Constructions of Self-Orthogonal Codes From Hulls of BCH Codes and Their Parameters. IEEE Transactions on Information Theory, 2020, 66 (11), pp.6774-6785. (10.1109/TIT.2020.2991635⟩. ⟨hal-03959035⟩
  • N. Li, Sihem Mesnager. Recent results and problems on constructions of linear codes from cryptographic functions. Journal of Cryptography and Communications- Discrete Structures, Boolean Functions, and Sequences , 2020. (hal-03085423⟩
  • Z. Du, C. Li, Sihem Mesnager. Constructions of self-orthogonal codes from hulls of BCH codes and their parameters. IEEE Transactions on Information Theory, 2020. (hal-03085434⟩
  • Ashref Aloui, Mounira Msahli, Talel Abdessalem, Sihem Mesnager, Stéphane Bressan. Privacy as a Service: Anonymisation of NetFlow Traces. Advances in E-Business Engineering for Ubiquitous Computing, pp.561-571, 2020, (10.1007/978-3-030-34986-8_39⟩. ⟨hal-03042197⟩
  • J. Liu, Sihem Mesnager, D. Tang. Constructions of optimal locally recoverable codes via Dickson polynomials.. Journal of Designs, Codes, and Cryptography, 2020. (hal-03053992⟩
  • Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nikolay Kaleyski. On the Distance Between APN Functions. IEEE Transactions on Information Theory, 2020, 66 (9), pp.5742-5753. (10.1109/TIT.2020.2983684⟩. ⟨hal-03966552⟩
  • Claude Carlet, Serge Feukoua. Three parameters of Boolean functions related to their constancy on affine spaces. Advances in Mathematics of Communications, 2020, 14 (4), pp.651-676. (10.3934/amc.2020036⟩. ⟨hal-03966542⟩
  • Wei Cheng, Sylvain Guilley, Claude Carlet, Sihem Mesnager, Jean-Luc Danger. Optimizing Inner Product Masking Scheme by A Coding Theory Approach. IEEE Transactions on Information Forensics and Security, 2020, 16, pp.220-235. (10.1109/TIFS.2020.3009609⟩. ⟨hal-02919657⟩
  • Alfred Geroldinger, Wolfgang Schmid. A characterization of class groups via sets of lengths. Journal of the Korean Mathematical Society, 2019, 56 (4), pp.869-915. (10.4134/JKMS.j180467⟩. ⟨hal-01131955v3⟩
  • Sihem Mesnager, K. Kaytannci, Ferruh Ozbudak. On Plateaued Functions, Linear Structures, and Permutation Polynomials. International Conference on Codes, Cryptology and Information Security C2SI 2019, 2019, Rabat, Morocco. (hal-03035600⟩
  • Sihem Mesnager, A. Sinak. Regular graphs from weakly regular plateaued functions. Proceedings of 2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA 2019), Oct 2019, Dongguan, China. (hal-03023517⟩
  • Sihem Mesnager, Claude Carlet, Chengju Li. Linear codes with small hulls in semi-primitive case. Designs, Codes and Cryptography, 2019, 87 (12), pp.3063-3075. (10.1007/s10623-019-00663-4⟩. ⟨hal-03023235⟩
  • Sihem Mesnager, A. Sinak, O. Yayla. Three-Weight Minimal Linear Codes and Their Applications. Second International Workshop on Cryptography and its Applications (2IWCA’19), 2019, Oran, Algeria. (hal-03035622⟩
  • Sihem Mesnager, C. Carlet, C. Tang, Y. Qi. New characterization and parametrization of LCD codes.. IEEE Transactions on Information Theory, 2019. (hal-03022850⟩
  • Gianira Alfarano, Martino Borello, Alessandro Neri. A geometric characterization of minimal codes and their asymptotic performance. Advances in Mathematics of Communications, 2019, 16 (1), pp.115. (10.3934/amc.2020104⟩. ⟨hal-03852306⟩
  • Sihem Mesnager, G. Luo, X. Cao. Several new classes of self-dual bent functions derived from involutions. Journal of Cryptography and Communications- Discrete Structures, Boolean Functions, and Sequences , 2019. (hal-03023241⟩
  • Sihem Mesnager, Ferruh Özbudak, A. Sinak, Gerard Cohen. On q-ary plateaued functions over Fq and their explicit characterizations.. European Journal of Combinatorics, 2019. (hal-03022841⟩
  • Philippe Guillot, Luz Marchan, Oscar Ordaz, Wolfgang Schmid, Hanane Zerdoum. On the Harborth constant of $C_3 \oplus C_{3p}$. Journal de Théorie des Nombres de Bordeaux, 2019, 31 (3), pp.613-633. (10.5802/jtnb.1097⟩. ⟨hal-01852551⟩
  • Claude Carlet, Sihem Mesnager, Chunming Tang, Yanfeng Qi. On $\sigma$ -LCD Codes. IEEE Transactions on Information Theory, 2019, 65 (3), pp.1694-1704. (10.1109/TIT.2018.2873130⟩. ⟨hal-03959011⟩
  • Sihem Mesnager, J. Liu, D. Tang. Constructions of optimal locally recoverable codes via Dickson polynomials. Eleventh International Workshop on Coding and Cryptography (WCC 2019), 2019, Saint-Malo, France. (hal-03035635⟩
  • Sihem Mesnager, Ferruh Özbudak, A. Sinak. Linear codes from weakly regular plateaued functions and their secret sharing schemes.. Designs, Codes and Cryptography, 2019. (hal-03022853⟩
  • Sihem Mesnager, Constanza Riera, Pantelimon Stanica. Multiple characters transforms and generalized Boolean functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2019, 11 (6), pp.1247-1260. (10.1007/s12095-019-00383-5⟩. ⟨hal-03023252⟩
  • Alain Plagne, Wolfgang Schmid. On congruence half-factorial Krull monoids with cyclic class group. Journal of Combinatorial Algebra, 2019, 3 (4), pp.331-400. (10.4171/jca/34⟩. ⟨hal-01580928v2⟩
  • Jian Liu, Sihem Mesnager. Weightwise perfectly balanced functions with high weightwise nonlinearity profile. Designs, Codes and Cryptography, 2019, 87 (8), pp.1797-1813. (10.1007/s10623-018-0579-x⟩. ⟨hal-03959006⟩
  • Sihem Mesnager, A. Sinak. Strongly regular graphs from weakly regular plateaued functions. Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA 2019), 2019, Dongguan, China. (hal-03035649⟩
  • Sihem Mesnager, F. Zhang. Further study on the maximum number of bent components of vectorial functions. Designs, Codes and Cryptography, 2019. (hal-03023190⟩
  • Sihem Mesnager, L. Qu. On two-to-one mappings over finite fields. IEEE Transactions on Information Theory, 2019. (hal-03023262⟩
  • Sihem Mesnager, Claude Carlet, Sylvain Guilley. Direct Sum Masking as a Countermeasure to Side-Channel and Fault Injection Attacks. Security and Privacy in the Internet of Things, 2019. (hal-03025857⟩
  • Benjamin Girard, Wolfgang Schmid. Direct zero-sum problems for certain groups of rank three. Journal of Number Theory, 2019, 197, pp.297-316. (10.1016/j.jnt.2018.08.016⟩. ⟨hal-01817518v2⟩
  • Sihem Mesnager. On good polynomials over finite fields for optimal locally recoverable codes. International Conference on Codes, Cryptology and Information Security (C2SI 2019), Apr 2019, Rabat, Morocco. pp.257-268, (10.1007/978-3-030-16458-4_15⟩. ⟨hal-03035612⟩
  • Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak, Gérard Cohen. On q -ary plateaued functions over F q and their explicit characterizations. European Journal of Combinatorics, 2019, 80, pp.71-81. (10.1016/j.ejc.2018.02.025⟩. ⟨hal-03959005⟩
  • Sihem Mesnager, C. Carlet, C. Tang, Y. Qi. On σ-LCD codes. IEEE Transactions on Information Theory, 2019. (hal-03023164⟩
  • Alfred Geroldinger, Wolfgang Schmid. Which sets are sets of lengths in all numerical monoids?. Banach Center Publications, 118, pp.181-192, 2019, (10.4064/bc118-12⟩. ⟨hal-01700170v3⟩
  • Sihem Mesnager, K. Li, L. Qu. Further study of 2-to-1 mappings over $F_2^n$. Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA 2019), 2019, Dongguang, China. (hal-03035653⟩
  • Sihem Mesnager, Ferruh Özbudak, Ahmet Smak, Gérard Cohen. On q-ary plateaued functions over F_q and their explicit characterizations. European Journal of Combinatorics, 2019, 80, pp.Pages 71-81. (10.1016/j.ejc.2018.02.025⟩. ⟨hal-02287547⟩
  • Sihem Mesnager, Claude Carlet, Sylvain Guilley, Cem Guneri, Ferruh Özbudak. Construction of Efficient Codes for High-Order Direct Sum Masking. Security and Privacy in the Internet of Things: Challenges and Solutions, 27, IOS Press, pp.108-128, 2019, Ambient Intelligence and Smart Environments Series, 978-1-64368-052-1 (print) | 978-1-64368-053-8 (online). (hal-03025841⟩
  • Shihui Fu, Xiutao Feng, Qiang Wang, Claude Carlet. On the Derivative Imbalance and Ambiguity of Functions. IEEE Transactions on Information Theory, 2019, 65 (9), pp.5833-5845. (10.1109/TIT.2019.2912196⟩. ⟨hal-03966899⟩
  • Gaojun Luo, Xiwang Cao, Sihem Mesnager. Several new classes of self-dual bent functions derived from involutions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2019, 11 (6), pp.1261-1273. (10.1007/s12095-019-00371-9⟩. ⟨hal-03958984⟩
  • Sihem Mesnager, A. Sinak, O. Yayla. Minimal Linear codes with few weights and their secret sharing.. International Journal of Information Security Science , 2019. (hal-03022847⟩
  • Sihem Mesnager, Z. Zhou, C. Ding. On the nonlinearity of Boolean functions with restricted input.. Journal of Cryptography and Communications- Discrete Structures, Boolean Functions, and Sequences , 2019. (hal-03022849⟩
  • Martino Borello, Olivier Mila. SYMMETRIES OF WEIGHT ENUMERATORS AND APPLICATIONS TO REED-MULLER CODES. Advances in Mathematics of Communications, 2019, 13 (2), pp.313-328. (10.3934/amc.2019021⟩. ⟨hal-03852296⟩
  • Sihem Mesnager, Fengrong Zhang, Chunming Tang, Yong Zhou. Some (almost) optimally extendable linear codes. Designs, Codes and Cryptography, 2019, 87 (12), pp.2813-2834. (10.1007/s10623-019-00639-4⟩. ⟨hal-03958996⟩
  • Claude Carlet, Abderrahman Daif, Sylvain Guilley, Cédric Tavernier. Polynomial direct sum masking to protect against both SCA and FIA. Journal of Cryptographic Engineering, 2019, 9 (3), pp.303-312. (10.1007/s13389-018-0194-9⟩. ⟨hal-03966897⟩
  • Claude Carlet. On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures. Designs, Codes and Cryptography, 2019, 87 (2-3), pp.203-224. (10.1007/s10623-018-0512-3⟩. ⟨hal-03966895⟩
  • Ashref Aloui, Mounira Msahli, Talel Abdessalem, Sihem Mesnager, Stéphane Bressan. Privacy as a Service: Anonymisation of NetFlow Traces. 16th International Conference on e-Business Engineerin,(ICEBE 2019), Oct 2019, Shanghai, China. (hal-03035791⟩
  • Claude Carlet, Xi Chen, Longjiang Qu. Constructing infinite families of low differential uniformity (n, m)-functions with $$m>n/2$$ m > n / 2. Designs, Codes and Cryptography, 2019, 87 (7), pp.1577-1599. (10.1007/s10623-018-0553-7⟩. ⟨hal-03966896⟩
  • Pierrick Méaux, Claude Carlet, Anthony Journault, François-Xavier Standaert. Improved Filter Permutators for Efficient FHE: Better Instances and Implementations. 11898, Springer International Publishing, pp.68-91, 2019, Lecture Notes in Computer Science, (10.1007/978-3-030-35423-7_4⟩. ⟨hal-03966901⟩
  • Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak. On the p-ary (cubic) bent and plateaued (vectorial) functions. Designs, Codes and Cryptography, 2018, 86 (8), pp.1865-1892. (10.1007/s10623-017-0427-4⟩. ⟨hal-03958964⟩
  • Alfred Geroldinger, Wolfgang Schmid. A realization theorem for sets of lengths in numerical monoids. Forum Mathematicum, 2018, 30 (5), pp.1111-1118. (10.1515/forum-2017-0180⟩. ⟨hal-01615120v2⟩
  • Jian Liu, Sihem Mesnager, Lusheng Chen. New Constructions of Optimal Locally Recoverable Codes via Good Polynomials. IEEE Transactions on Information Theory, 2018, 64 (2), pp.889-899. (10.1109/TIT.2017.2713245⟩. ⟨hal-03958968⟩
  • Robert Coulter, Sihem Mesnager. Bent Functions From Involutions Over ${\mathbb F}_{2^{n}}$. IEEE Transactions on Information Theory, 2018, 64 (4), pp.2979-2986. (10.1109/TIT.2017.2777961⟩. ⟨hal-03958962⟩
  • Claude Carlet, Cem Güneri, Ferruh Özbudak, Patrick Solé. A new concatenated type construction for LCD codes and isometry codes. Discrete Mathematics, 2018, 341 (3), pp.830-835. (10.1016/j.disc.2017.12.004⟩. ⟨hal-03966904⟩
  • Claude Carlet, Cem Guneri, Ferruh Ozbudak, Buket Ozkaya, Patrick Sole. On Linear Complementary Pairs of Codes. IEEE Transactions on Information Theory, 2018, 64 (10), pp.6583-6589. (10.1109/TIT.2018.2796125⟩. ⟨hal-04089281⟩
  • Claude Carlet, Xi Chen. Constructing Low-Weight $d$ th-Order Correlation-Immune Boolean Functions Through the Fourier-Hadamard Transform. IEEE Transactions on Information Theory, 2018, 64 (4), pp.2969-2978. (10.1109/TIT.2017.2785775⟩. ⟨hal-03966906⟩
  • Claude Carlet. On the nonlinearity of monotone Boolean functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2018, 10 (6), pp.1051-1061. (10.1007/s12095-017-0262-5⟩. ⟨hal-03966903⟩
  • Claude Carlet, Cem Guneri, Ferruh Ozbudak, Buket Ozkaya, Patrick Sole. On Linear Complementary Pairs of Codes. IEEE Transactions on Information Theory, 2018, 64 (10), pp.6583-6589. (10.1109/TIT.2018.2796125⟩. ⟨hal-03966910⟩
  • Claude Carlet, Cem Güneri, Sihem Mesnager, Ferruh Özbudak. Construction of Some Codes Suitable for Both Side Channel and Fault Injection Attacks. 11321, Springer International Publishing, pp.95-107, 2018, Lecture Notes in Computer Science, (10.1007/978-3-030-05153-2_5⟩. ⟨hal-03958947⟩
  • Claude Carlet, Sihem Mesnager, Chunming Tang, Yanfeng Qi, Ruud Pellikaan. Linear Codes Over $\mathbb F_q$ Are Equivalent to LCD Codes for $q>3$. IEEE Transactions on Information Theory, 2018, 64 (4), pp.3010-3017. (10.1109/TIT.2018.2789347⟩. ⟨hal-03958960⟩
  • Claude Carlet. Componentwise APNness, Walsh uniformity of APN functions, and cyclic-additive difference sets. Finite Fields and Their Applications, 2018, 53, pp.226-253. (10.1016/j.ffa.2018.06.007⟩. ⟨hal-03966905⟩
  • Claude Carlet, Sylvain Guilley. Statistical properties of side-channel and fault injection attacks using coding theory. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 10 (5), pp.909-933, 2018, (10.1007/s12095-017-0271-4⟩. ⟨hal-03966902⟩
  • Claude Carlet, Cem Guneri, Ferruh Ozbudak, Buket Ozkaya, Patrick Sole. On Linear Complementary Pairs of Codes. IEEE Transactions on Information Theory, 2018, 64 (10), pp.6583-6589. (10.1109/TIT.2018.2796125⟩. ⟨hal-04089276⟩
  • Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak. Characterizations of Partially Bent and Plateaued Functions over Finite Fields. 11321, Springer International Publishing, pp.224-241, 2018, Lecture Notes in Computer Science, (10.1007/978-3-030-05153-2_12⟩. ⟨hal-03958945⟩
  • Tingting Cui, Huaifeng Chen, Sihem Mesnager, Ling Sun, Meiqin Wang. Statistical integral distinguisher with multi-structure and its application on AES-like ciphers. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2018, 10 (5), pp.755-776. (10.1007/s12095-018-0286-5⟩. ⟨hal-03958974⟩
  • Martino Borello, Javier de la Cruz. Some new results on the self-dual [120,60,24] code. Finite Fields and Their Applications, 2018, 50, pp.17-34. (10.1016/j.ffa.2017.11.004⟩. ⟨hal-03852299⟩
  • Sihem Mesnager, Chunming Tang, Yanfeng Qi. 2-Correcting Lee Codes: (Quasi)-Perfect Spectral Conditions and Some Constructions. IEEE Transactions on Information Theory, 2018, 64 (4), pp.3031-3041. (10.1109/TIT.2018.2789921⟩. ⟨hal-03958957⟩
  • Yuwei Xu, Claude Carlet, Sihem Mesnager, Chuankun Wu. Classification of Bent Monomials, Constructions of Bent Multinomials and Upper Bounds on the Nonlinearity of Vectorial Functions. IEEE Transactions on Information Theory, 2018, 64 (1), pp.367-383. (10.1109/TIT.2017.2750663⟩. ⟨hal-03958972⟩
  • Claude Carlet. Characterizations of the Differential Uniformity of Vectorial Functions by the Walsh Transform. IEEE Transactions on Information Theory, 2018, 64 (9), pp.6443-6453. (10.1109/TIT.2017.2761392⟩. ⟨hal-03966909⟩
  • Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nian Li, Bo Sun. On Upper Bounds for Algebraic Degrees of APN Functions. IEEE Transactions on Information Theory, 2018, 64 (6), pp.4399-4411. (10.1109/TIT.2017.2757938⟩. ⟨hal-03966907⟩
  • Claude Carlet, Cem Güneri, Ferruh Özbudak, Patrick Solé. A new concatenated type construction for LCD codes and isometry codes. Discrete Mathematics, 2018, 341 (3), pp.830-835. (10.1016/j.disc.2017.12.004⟩. ⟨hal-04089340⟩
  • Claude Carlet, Sihem Mesnager, Chunming Tang, Yanfeng Qi. Euclidean and Hermitian LCD MDS codes. Designs, Codes and Cryptography, 2018, 86 (11), pp.2605-2618. (10.1007/s10623-018-0463-8⟩. ⟨hal-03958951⟩
  • Sihem Mesnager, Chunming Tang, Yanfeng Qi. Complementary Dual Algebraic Geometry Codes. IEEE Transactions on Information Theory, 2018, 64 (4), pp.2390-2397. (10.1109/TIT.2017.2766075⟩. ⟨hal-03958965⟩
  • Sihem Mesnager, Chunming Tang, Yanfeng Qi, Libo Wang, Baofeng Wu, et al.. Further Results on Generalized Bent Functions and Their Complete Characterization. IEEE Transactions on Information Theory, 2018, 64 (7), pp.5441-5452. (10.1109/TIT.2018.2835518⟩. ⟨hal-03958953⟩
  • Sihem Mesnager, Fengrong Zhang. On constructions of bent, semi-bent and five valued spectrum functions from old bent functions. Advances in Mathematics of Communications, 2017, 11 (2), pp.339-345. (10.3934/amc.2017026⟩. ⟨hal-03958929⟩
  • Jian Liu, Sihem Mesnager, Lusheng Chen. On the nonlinearity of S-boxes and linear codes. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2017, 9 (3), pp.345-361. (hal-03958939⟩
  • Sihem Mesnager. Linear codes with few weights from weakly regular bent functions based on a generic construction. Cryptography and Communications, 2017, 9 (1), pp.71-84. (10.1007/s12095-016-0186-5⟩. ⟨hal-03958942⟩
  • Claude Carlet, Annelie Heuser, Stjepan Picek. Trade-Offs for S-Boxes: Cryptographic Properties and Side-Channel Resilience. ACNS 2017 - International Conference on Applied Cryptography and Network Security, Jul 2017, Kanazawa, Japan. pp.393-414, (10.1007/978-3-319-61204-1_20⟩. ⟨hal-01629879⟩
  • Ashref Aloui, Mounira Msahli, Talel Abdessalem, Stephane Bressan, Sihem Mesnager. Protocol for preserving privacy in distributed system (PPDS). 2017 13th International Wireless Communications and Mobile Computing Conference (IWCMC), Jun 2017, Valencia, France. pp.1885-1890, (10.1109/IWCMC.2017.7986571⟩. ⟨hal-02354923⟩
  • Amine Mrabet, Nadia El Mrabet, Belgacem Bouallegue, Sihem Mesnager, Mohsen Machhout. An efficient and scalable modular inversion/division for public key cryptosystems. 2017 International Conference on Engineering & MIS (ICEMIS), May 2017, Monastir, France. pp.1-6, (10.1109/ICEMIS.2017.8272995⟩. ⟨hal-02066982⟩
  • Claude Carlet, Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak. Explicit Characterizations for Plateaued-ness of p-ary (Vectorial) Functions. 10194, Springer International Publishing, pp.328-345, 2017, Lecture Notes in Computer Science, (10.1007/978-3-319-55589-8_22⟩. ⟨hal-03958918⟩
  • Kanat Abdukhalikov, Sihem Mesnager. Bent functions linear on elements of some classical spreads and presemifields spreads. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2017, 9 (1), pp.3-21. (10.1007/s12095-016-0195-4⟩. ⟨hal-03958944⟩
  • Claude Carlet, Serge Feukoua. Three basic questions on Boolean functions. Advances in Mathematics of Communications, 2017, 11 (4), pp.837-855. (10.3934/amc.2017061⟩. ⟨hal-03966912⟩
  • Sihem Mesnager, Gérard Cohen. Fast algebraic immunity of Boolean functions. Advances in Mathematics of Communications, 2017, 11 (2), pp.373-377. (hal-02287573⟩
  • Thor Martinsen, Wilfried Meidl, Sihem Mesnager, Pantelimon Stanica. Decomposing Generalized Bent and Hyperbent Functions. IEEE Transactions on Information Theory, 2017, 63 (12), pp.7804-7812. (10.1109/TIT.2017.2754498⟩. ⟨hal-03958892⟩
  • Sihem Mesnager, Gavin Mcgrew, James Davis, Dayton Steele, Katherine Marsten. A comparison of Carlet's second-order nonlinearity bounds. International Journal of Computer Mathematics, 2017, 94 (3), pp.427-436. (10.1080/00207160.2015.1112002⟩. ⟨hal-03958915⟩
  • Nicolas Bruneau, Claude Carlet, Sylvain Guilley, Annelie Heuser, Emmanuel Prouff, et al.. Stochastic Collision Attack. IEEE Transactions on Information Forensics and Security, 2017, 12 (9), pp.2090 - 2104. (10.1109/TIFS.2017.2697401⟩. ⟨hal-01629880⟩
  • Alfred Geroldinger, Wolfgang Schmid. A realization theorem for sets of distances. Journal of Algebra, 2017, 481, pp.188-198. (10.1016/j.jalgebra.2017.03.003⟩. ⟨hal-01355253v2⟩
  • Sihem Mesnager, Fengrong Zhang, Yong Zhou. On construction of bent functions involving symmetric functions and their duals. Advances in Mathematics of Communications, 2017, 11 (2), pp.347-352. (10.3934/amc.2017027⟩. ⟨hal-03958925⟩
  • Kanat Abdukhalikov, Sihem Mesnager. Explicit constructions of bent functions from pseudo-planar functions. Advances in Mathematics of Communications, 2017, 11 (2), pp.293-299. (10.3934/amc.2017021⟩. ⟨hal-03958932⟩
  • Ashref Aloui, Mounira Msahli, Talel Abdessalem, Stephane Bressan, Sihem Mesnager. Preserving privacy in distributed system (PPDS) protocol: Security analysis. 2017 IEEE 36th International Performance Computing and Communications Conference (IPCCC), Dec 2017, San Diego, France. pp.1-7, (10.1109/PCCC.2017.8280505⟩. ⟨hal-02353278⟩
  • Sihem Mesnager, Gérard Cohen. Fast algebraic immunity of Boolean functions. Advances in Mathematics of Communications, 2017, 11 (2), pp.373-377. (10.3934/amc.2017031⟩. ⟨hal-03958921⟩
  • Sihem Mesnager, Pınar Ongan, Ferruh Özbudak. New Bent Functions from Permutations and Linear Translators. 10194, Springer International Publishing, pp.282-297, 2017, Lecture Notes in Computer Science, (10.1007/978-3-319-55589-8_19⟩. ⟨hal-03958908⟩
  • Alfred Geroldinger, Wolfgang Schmid, Qinghai Zhong. Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids. Marco Fontana; Sophie Frisch; Sarah Glaz; Francesca Tartarone; Paolo Zanardo. Rings, Polynomials, and Modules, Springer International Publishing, pp.191-235, 2017, (10.1007/978-3-319-65874-2_11⟩. ⟨hal-01332417v2⟩
  • Nabil Bennenni, Kenza Guenda, Sihem Mesnager. DNA cyclic codes over rings. Advances in Mathematics of Communications, 2017, 11 (1), pp.83-98. (10.3934/amc.2017004⟩. ⟨hal-03958936⟩
  • Sihem Mesnager, Chunming Tang, Yanfeng Qi. Generalized Plateaued Functions and Admissible (Plateaued) Functions. IEEE Transactions on Information Theory, 2017, 63 (10), pp.6139-6148. (10.1109/TIT.2017.2715804⟩. ⟨hal-03958895⟩
  • Claude Carlet, Pierrick Méaux, Yann Rotella. Boolean functions with restricted input and their robustness; application to the FLIP cipher. IACR Transactions on Symmetric Cryptology, 2017, 2017 (3), pp.192--227. (10.13154/tosc.v2017.i3.192-227⟩. ⟨hal-01633506⟩
  • Deng Tang, Claude Carlet, Zhengchun Zhou. Binary linear codes from vectorial boolean functions and their weight distribution. Discrete Mathematics, 2017, 340 (12), pp.3055-3072. (10.1016/j.disc.2017.07.008⟩. ⟨hal-03966913⟩
  • Alfred Geroldinger, Wolfgang Schmid. The system of sets of lengths in Krull monoids under set addition. Revista Matemática Iberoamericana, 2016, 32 (2), pp.571-588. (10.4171/RMI/895⟩. ⟨hal-01020157v3⟩
  • Gérard Cohen, Sihem Mesnager, Hugues Randriambololona. Yet another variation on minimal linear codes. Advances in mathmatics of Communications, 2016, 10 (1), pp.53-61. (hal-02287564⟩
  • Pierrick Méaux, Anthony Journault, François-Xavier Standaert, Claude Carlet. Towards Stream Ciphers for Efficient FHE with Low-Noise Ciphertexts. Advances in Cryptology – EUROCRYPT 2016, May 2016, Wien, Austria. pp.311-343, (10.1007/978-3-662-49890-3_13⟩. ⟨hal-01405859⟩
  • Claude Carlet, Emmanuel Prouff. Polynomial Evaluation and Side Channel Analysis. The New Codebreakers, 9100, Springer, pp.315 - 341, 2016, Lecture Notes in Computer Science, 978-3-662-49300-7. (10.1007/978-3-662-49301-4_20⟩. ⟨hal-01399573⟩
  • Pascale Charpin, Sihem Mesnager, Sumanta Sarkar. Dickson Polynomials that are Involutions.. Canteaut, Anne; Effinger, Gove; Huczynska, Sophie; Panario, Daniel; Storme, Leo. Contemporary Developments in Finite Fields and Their Applications., World Scientific Press, pp.22-45, 2016, 9789814719278. (10.1142/9789814719261_0003⟩. ⟨hal-01237332⟩
  • Luz Elimar Marchan, Oscar Ordaz, Dennys Ramos, Wolfgang Schmid. Inverse results for weighted Harborth constants. International Journal of Number Theory, 2016, 12 (7), pp.1845-1861. (10.1142/S1793042116501141⟩. ⟨hal-01149390v2⟩
  • Wolfgang Schmid. Some recent results and open problems on sets of lengths of Krull monoids with finite class group. Scott Chapman; Marco Fontana; Alfred Geroldinger; Bruce Olberding. Multiplicative Ideal Theory and Factorization Theory, 170, Springer International Publishing, pp.323-352, 2016, Springer Proceedings in Mathematics & Statistics, (10.1007/978-3-319-38855-7_14⟩. ⟨hal-01233263⟩
  • Pascale Charpin, Sihem Mesnager, Sumanta Sarkar. Involutions over the Galois field ${\mathbb F}_{2^{n}}$. IEEE Transactions on Information Theory, 2016, 62 (4), (10.1109/TIT.2016.2526022⟩. ⟨hal-01272943⟩
  • Luz Elimar Marchan, Oscar Ordaz, Irene Santos, Wolfgang Schmid. Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory. Journal of Combinatorial Theory, Series A, 2015, 135, pp.237-267. (10.1016/j.jcta.2015.05.004⟩. ⟨hal-01020156v2⟩
  • Pascale Charpin, Sihem Mesnager, Sumanta Sarkar. Dickson polynomials that are involutions. Finite Fields and Applications - Fq12 -, Jul 2015, Saratoga Springs, United States. (hal-01237342⟩
  • Pascale Charpin, Sihem Mesnager, Sumanta Sarkar. On involutions of finite fields. International Symposium on Information Theory - ISIT 2015, Jun 2015, Hong-Kong, China. (hal-01151196⟩
  • Isis Truck, Wolfgang Schmid. A new proposal to represent the Linguistic Conditional Preference networks. The 10th International Conference on Intelligent Systems & Knowledge Engineering (ISKE’2015), Nov 2015, Taipei, Taiwan. (10.1109/ISKE.2015.32⟩. ⟨hal-01265817⟩
  • Sihem Mesnager, Gérard Cohen. On minimal and almost-minimal linear codes. 21st International Symposium MTNS, Jul 2014, Groningen, Netherlands. pp.928-931. (hal-02286938⟩
  • Gérard Cohen, Sihem Mesnager. On construction of semi-bent funvtions from bent functions. Contemporary mathematics, 2014, 625, pp.141-154. (hal-02286937⟩
  • W. D. Gao, Alfred Geroldinger, Wolfgang Schmid. Local and global tameness in Krull monoids. Communications in Algebra, 2014, Special Issue Dedicated to Marco Fontana, 43 (1), pp.262-296. (10.1080/00927872.2014.897585⟩. ⟨hal-00787681v2⟩
  • Julien Bringer, Claude Carlet, Hervé Chabanne, Sylvain Guilley, Houssem Maghrebi. Orthogonal Direct Sum Masking. 8th IFIP International Workshop on Information Security Theory and Practice (WISTP), Jun 2014, Heraklion, Crete, Greece. pp.40-56, (10.1007/978-3-662-43826-8_4⟩. ⟨hal-01400919⟩
  • Luz Elimar Marchan, Oscar Ordaz, Wolfgang Schmid. Remarks on the plus-minus weighted Davenport constant. International Journal of Number Theory, 2014, 10 (5), pp.1219-1239. (10.1142/S1793042114500225⟩. ⟨hal-00835688v2⟩
  • Gerard Cohen, Sihem Mesnager, Alain Patey. On Minimal and Quasi-minimal Linear Codes. 14th IMA International Conference, IMACC 2013, Dec 2013, Oxford, United Kingdom. pp.85-98, (10.1007/978-3-642-45239-0_6⟩. ⟨hal-00979218⟩
  • Claude Carlet, Sylvain Guilley. Side-Channel Indistinguishability. HASP, Jun 2013, Tel Aviv, Israel. pp.9:1-9:8, (10.1145/2487726.2487735⟩. ⟨hal-00826618v6⟩
  • Oscar Ordaz, Alain Plagne, Wolfgang A. Schmid. Some remarks on barycentric-sum problems over cyclic groups. European Journal of Combinatorics, 2013, 34 (8), pp.1415-1428. (10.1016/j.ejc.2013.05.025⟩. ⟨hal-00689464v2⟩
  • Luz Elimar Marchan, Oscar Ordaz, Dennys Ramos, Wolfgang Schmid. Some exact values of the Harborth constant and its plus-minus weighted analogue. Archiv der Mathematik, 2013, 101 (6), pp.501-512. (10.1007/s00013-013-0590-4⟩. ⟨hal-00851556v2⟩
  • Claude Carlet, Jean-Charles Faugère, Christopher Goyet, Guénaël Renault. Analysis of the algebraic side channel attack. Journal of Cryptographic Engineering, 2012, 2 (1), pp.45-62. (10.1007/s13389-012-0028-0⟩. ⟨hal-00777829⟩
  • Claude Carlet, Philippe Gaborit, Jon-Lark Kim, Patrick Sole. A New Class of Codes for Boolean Masking of Cryptographic Computations. IEEE Transactions on Information Theory, 2012, 58 (9), pp.6000-6011. (10.1109/TIT.2012.2200651⟩. ⟨hal-00913659⟩
  • Jean-Pierre Flori, Sihem Mesnager. An efficient characterization of a family of hyperbent functions with multiple trace terms. 2011. (hal-00642289⟩
  • Sihem Mesnager, Gérard Cohen. On the links of some semi-bent functions with Kloosterman sums. LNCS , 2011, 6639, pp.263-272. (hal-02278602⟩
  • Yves Aubry, Claude Carlet, Philippe Langevin, Pascal Véron. Guest editorial for the special issue for Jacques Wolfmann. Editors: Yves Aubry and Claude Carlet and Philippe Langevin and Pascal Véron. Springer Verlag, vol. 3 (4), pp.113, 2011, Cryptography and Communications, (10.1007/s12095-011-0056-0⟩. ⟨hal-00682554⟩
  • Jean-Pierre Flori, Sihem Mesnager, Gérard Cohen. The Value $4$ of Binary Kloosterman Sums. 2011. (hal-00642290⟩
  • Alain Plagne, Wolfgang A. Schmid. An application of coding theory to estimating Davenport constants. Designs, Codes and Cryptography, 2011, 61 (1), pp.105-118. (10.1007/s10623-010-9441-5⟩. ⟨hal-00851517⟩
  • Yves Aubry, Claude Carlet, Philippe Langevin, Pascal Véron. Cryptography and Communications. Springer, pp.113, 2011, (10.1007/s12095-011-0056-0⟩. ⟨hal-00979704⟩
  • Jean-Pierre Flori, Hugues Randriambololona, Gérard Cohen, Sihem Mesnager. On a conjecture about binary strings distribution. 2010. (hal-00642292⟩
  • Claude Carlet, Yves Crama, Peter L. Hammer. Vectorial Boolean Functions for Cryptography. Boolean Models and Methods in Mathematics, Computer Science, and Engineering, Cambridge University Press, pp.398-470, 2010, (10.1017/cbo9780511780448.012⟩. ⟨hal-02060699⟩
  • Jean-Pierre Flori, Hugues Randriambololona, Gérard Cohen, Sihem Mesnager. On a Conjecture about Binary Strings Distribution. Carlet, Claude and Pott, Alexander. Sequences and Their Applications - SETA 2010, 6338, Springer Berlin / Heidelberg, pp.346-358, 2010, 978-3-642-15873-5. (10.1007/978-3-642-15874-2_30⟩. ⟨hal-00642283⟩