×
Author ID: mesnager.sihem Recent zbMATH articles by "Mesnager, Sihem"
Published as: Mesnager, Sihem; Hachaichi-Mesnager, S.; Mesnager, S.
Homepage: https://www.math.univ-paris13.fr/~mesnager/index-en.html
External Links: MGP
all top 5

Co-Authors

23 single-authored
21 Tang, Chunming
19 Carlet, Claude
18 Kim, Kwang Ho
12 Özbudak, Ferruh
11 Cohen, Gérard Denis
11 Qi, Yanfeng
9 Sınak, Ahmet
8 Chen, Ruikai
8 Liu, Jian
7 Zhou, Zhengchun
6 Cao, Xiwang
6 Chen, Lusheng
6 Choe, Jong Hyok
6 Lee, Dok Nam
5 Ding, Cunsheng
5 Flori, Jean-Pierre
4 Fan, Cuiling
4 Li, Chengju
4 Qian, Liqin
4 Su, Sihong
4 Wang, Meiqin
3 Abdukhalikov, Kanat S.
3 Choe, Junyop
3 Cui, Tingting
3 Kim, Chung Hyok
3 Li, Nian
3 Qu, Longjiang
3 Stănică, Pantelimon
3 Yang, Yang
3 Zhang, Fengrong
3 Zhang, Hui
2 Charpin, Pascale
2 Fan, Yanhong
2 Go, Dae Song
2 Guenda, Kenza
2 Helleseth, Tor
2 Jo, Myong Chol
2 Kholosha, Alexander
2 Li, Kangquan
2 Li, Yun
2 Liu, Hongwei
2 Mandal, Bimal
2 Randriambololona, Hugues
2 Riera, Constanza
2 Sarkar, Sumanta
2 Xiong, Maosheng
2 Yan, Haode
2 Yuan, Mu
2 Zeng, Xiangyong
2 Zhou, Yong
1 Auger, David
1 Barg, Alexander M.
1 Bennenni, Nabil
1 Bouallegue, Belgacem
1 Boumezbeur, M.
1 Budaghyan, Lilya
1 Chai, Jinjin
1 Chen, Huaifeng
1 Coulter, Robert S.
1 Debnath, Sumit Kumar
1 Dey, Kunal
1 Ding, Jian
1 Dolecek, Lara
1 Du, Xiaoni
1 Du, Zongrun
1 Eddahmani, Said
1 El Mrabet, Nadia
1 Elhajji, Said
1 Feng, Keqin
1 Fu, Fangwei
1 Gabrys, Ryan
1 Gan, Chunyu
1 Gao, You
1 Gu, Zhi
1 Guillot, Philippe
1 Güneri, Cem
1 Guo, Wei
1 Han, Munhyon
1 Han, Peng
1 Hansda, Kalyan
1 He, Debiao
1 He, Yucong
1 Jin, Wengang
1 Jo, Dujin
1 Jo, Myong Song
1 Kan, Haibin
1 Katona, Gyula O. H.
1 Kaytancı, Kübra
1 Kim, Ye Bong
1 Koç, Çetin Kaya
1 Koçak, Neşe
1 Körner, János
1 Kundu, Nibedita
1 Lashermes, Ronan
1 Lee, Sengsan
1 Li, Jingjing
1 Li, Peihua
1 Li, Yanjun
1 Li, Yongqing
1 Li, Yubo
...and 59 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 1,474 times in 638 Documents Cited by Year
Bent functions. Fundamentals and results. Zbl 1364.94008
Mesnager, Sihem
124
2016
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
90
2016
Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud
81
2018
Several new infinite families of bent functions and their duals. Zbl 1360.94480
Mesnager, Sihem
60
2014
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
53
2018
Linear codes with few weights from weakly regular bent functions based on a generic construction. Zbl 1351.94079
Mesnager, Sihem
45
2017
On Dillon’s class \(H\) of bent functions, Niho bent functions and o-polynomials. Zbl 1236.94052
Carlet, Claude; Mesnager, Sihem
43
2011
On minimal and quasi-minimal linear codes. Zbl 1317.94144
Cohen, Gérard D.; Mesnager, Sihem; Patey, Alain
37
2013
Involutions over the Galois field \(\mathbb F_{2^n}\). Zbl 1359.94789
Charpin, Pascale; Mesnager, Sihem; Sarkar, Sumanta
34
2016
Complementary dual algebraic geometry codes. Zbl 1390.94918
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
33
2018
Linear codes from weakly regular plateaued functions and their secret sharing schemes. Zbl 1421.94098
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
30
2019
Several classes of minimal linear codes with few weights from weakly regular plateaued functions. Zbl 1448.94271
Mesnager, Sihem; Sınak, Ahmet
30
2020
New characterization and parametrization of LCD codes. Zbl 1431.94143
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
25
2019
Improving the upper bounds on the covering radii of binary Reed-Muller codes. Zbl 1192.94139
Carlet, Claude; Mesnager, Sihem
22
2007
Investigations on \(c\)-(almost) perfect nonlinear functions. Zbl 1487.94133
Mesnager, Sihem; Riera, Constanza; Stănică, Pantelimon; Yan, Haode; Zhou, Zhengchun
21
2021
Semibent functions from Dillon and Niho exponents Kloosterman sums, and Dickson polynomials. Zbl 1365.94675
Mesnager, Sihem
21
2011
On the boomerang uniformity of quadratic permutations. Zbl 1465.94097
Mesnager, Sihem; Tang, Chunming; Xiong, Maosheng
18
2020
Bent and hyper-bent functions in polynomial form and their link with some exponential sums and Dickson polynomials. Zbl 1365.94676
Mesnager, Sihem
18
2011
Bent vectorial functions and linear codes from o-polynomials. Zbl 1347.94052
Mesnager, Sihem
18
2015
Optimal codebooks from binary codes meeting the Levenshtein bound. Zbl 1359.94917
Xiang, Can; Ding, Cunsheng; Mesnager, Sihem
18
2015
Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\). Zbl 1507.11109
Kim, Kwang Ho; Mesnager, Sihem
17
2020
On \(\sigma\)-LCD codes. Zbl 1431.94181
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
17
2019
A new class of bent and hyper-bent Boolean functions in polynomial forms. Zbl 1231.94053
Mesnager, Sihem
16
2011
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
15
2019
Characterizations of plateaued and bent functions in characteristic \(p\). Zbl 1337.94117
Mesnager, Sihem
15
2014
Recent results and problems on constructions of linear codes from cryptographic functions. Zbl 1469.94135
Li, Nian; Mesnager, Sihem
15
2020
Hyperbent functions via Dillon-like exponents. Zbl 1364.94804
Mesnager, Sihem; Flori, Jean-Pierre
15
2013
Improving the lower bound on the higher order nonlinearity of Boolean functions with prescribed algebraic immunity. Zbl 1247.94028
Mesnager, Sihem
14
2008
Further constructions of infinite families of bent functions from new permutations and their duals. Zbl 1338.94119
Mesnager, Sihem
13
2016
Dickson polynomials that are involutions. Zbl 1382.11087
Charpin, Pascale; Mesnager, Sihem; Sarkar, Sumanta
13
2016
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
13
2012
Linear codes with small hulls in semi-primitive case. Zbl 1423.94145
Carlet, Claude; Li, Chengju; Mesnager, Sihem
13
2019
A new family of hyper-bent Boolean functions in polynomial form. Zbl 1234.94024
Mesnager, Sihem
12
2009
On two-to-one mappings over finite fields. Zbl 1433.11137
Mesnager, Sihem; Qu, Longjiang
12
2019
Constructions of self-orthogonal codes from hulls of BCH codes and their parameters. Zbl 1453.94151
Du, Zongrun; Li, Chengju; Mesnager, Sihem
12
2020
Further results on generalized bent functions and their complete characterization. Zbl 1401.94265
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Wang, Libo; Wu, Baofeng; Feng, Keqin
12
2018
Bent functions from involutions over \({\mathbb F_{2^n}}\). Zbl 1392.94966
Coulter, Robert S.; Mesnager, Sihem
12
2018
On semibent Boolean functions. Zbl 1365.94666
Carlet, Claude; Mesnager, Sihem
12
2012
Decomposing generalized bent and hyperbent functions. Zbl 1390.94951
Martinsen, Thor; Meidl, Wilfried; Mesnager, Sihem; Stǎnicǎ, Pantelimon
12
2017
Weightwise perfectly balanced functions with high weightwise nonlinearity profile. Zbl 1453.94101
Liu, Jian; Mesnager, Sihem
11
2019
Solving \(X^{q+1}+X+a=0\) over finite fields. Zbl 1476.12001
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem
11
2021
Minimal linear codes from characteristic functions. Zbl 1448.94270
Mesnager, Sihem; Qi, Yanfeng; Ru, Hongming; Tang, Chunming
11
2020
Results on characterizations of plateaued functions in arbitrary characteristic. Zbl 1336.94064
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
11
2016
On the construction of bent vectorial functions. Zbl 1204.94119
Carlet, Claude; Mesnager, Sihem
11
2010
On a conjecture about binary strings distribution. Zbl 1257.94028
Flori, Jean-Pierre; Randriam, Hugues; Cohen, Gérard; Mesnager, Sihem
11
2010
On constructions of weightwise perfectly balanced Boolean functions. Zbl 1492.94254
Mesnager, Sihem; Su, Sihong
10
2021
On semi-bent functions and related plateaued functions over the Galois field \(\mathbb{F}_{2^n}\). Zbl 1314.94090
Mesnager, Sihem
10
2014
DNA cyclic codes over rings. Zbl 1357.94090
Bennenni, Nabil; Guenda, Kenza; Mesnager, Sihem
10
2017
Linear codes with one-dimensional hull associated with Gaussian sums. Zbl 1469.94140
Qian, Liqin; Cao, Xiwang; Mesnager, Sihem
9
2021
Solving \(x+x^{2^l}+\ldots +x^{2^{ml}}=a\) over \(\mathbb{F}_{2^n} \). Zbl 1446.11207
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam; Go, Dae Song
9
2020
Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111
Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh
9
2018
Bent functions from spreads. Zbl 1419.94044
Mesnager, Sihem
9
2015
Linear codes from functions. Zbl 1489.94146
Mesnager, Sihem
8
2021
On hulls of some primitive BCH codes and self-orthogonal codes. Zbl 1487.94164
Gan, Chunyu; Li, Chengju; Mesnager, Sihem; Qian, Haifeng
8
2021
Hyper-bent Boolean functions with multiple trace terms. Zbl 1232.94016
Mesnager, Sihem
8
2010
Semi-bent functions from oval polynomials. Zbl 1317.94167
Mesnager, Sihem
8
2013
Niho bent functions and Subiaco hyperovals. Zbl 1281.51006
Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
8
2012
Classification of bent monomials, constructions of bent multinomials and upper bounds on the nonlinearity of vectorial functions. Zbl 1390.94955
Xu, Yuwei; Carlet, Claude; Mesnager, Sihem; Wu, Chuankun
8
2018
On constructions of bent, semi-bent and five valued spectrum functions from old bent functions. Zbl 1408.94950
Mesnager, Sihem; Zhang, Fengrong
8
2017
Dickson polynomials, hyperelliptic curves and hyper-bent functions. Zbl 1290.11158
Flori, Jean-Pierre; Mesnager, Sihem
7
2012
New constructions of optimal locally recoverable codes via good polynomials. Zbl 1390.94939
Liu, Jian; Mesnager, Sihem; Chen, Lusheng
7
2018
On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity. Zbl 1495.94171
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam; Lee, Sengsan; Jo, Myong Chol
7
2022
Survey on recent trends towards generalized differential and boomerang uniformities. Zbl 1498.94114
Mesnager, Sihem; Mandal, Bimal; Msahli, Mounira
7
2022
Binary Kloosterman sums with value 4. Zbl 1247.11148
Flori, Jean-Pierre; Mesnager, Sihem; Cohen, Gérard
6
2011
Explicit characterizations for plateaued-Ness of \(p\)-ary (vectorial) functions. Zbl 1420.94122
Carlet, Claude; Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
6
2017
Several new classes of self-dual bent functions derived from involutions. Zbl 1460.11147
Luo, Gaojun; Cao, Xiwang; Mesnager, Sihem
6
2019
On infinite families of narrow-sense antiprimitive BCH codes admitting 3-transitive automorphism groups and their consequences. Zbl 1497.94173
Liu, Qi; Ding, Cunsheng; Mesnager, Sihem; Tang, Chunming; Tonchev, Vladimir D.
6
2022
Further study of 2-to-1 mappings over \(F_{2^n}\). Zbl 1473.94179
Li, Kangquan; Mesnager, Sihem; Qu, Longjiang
5
2021
Further study on the maximum number of bent components of vectorial functions. Zbl 1421.94129
Mesnager, Sihem; Zhang, Fengrong; Tang, Chunming; Zhou, Yong
5
2019
Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). Zbl 1505.12002
Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem
5
2021
Constructions of optimal locally recoverable codes via Dickson polynomials. Zbl 1465.94112
Liu, Jian; Mesnager, Sihem; Tang, Deng
5
2020
Bent functions linear on elements of some classical spreads and presemifields spreads. Zbl 1354.51015
Abdukhalikov, Kanat; Mesnager, Sihem
5
2017
An efficient characterization of a family of hyper-bent functions with multiple trace terms. Zbl 1316.94136
Flori, Jean-Pierre; Mesnager, Sihem
5
2013
On the nonlinearity of S-boxes and linear codes. Zbl 1357.94071
Liu, Jian; Mesnager, Sihem; Chen, Lusheng
5
2017
On the \(p\)-ary (cubic) bent and plateaued (vectorial) functions. Zbl 1402.94065
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
5
2018
A class of narrow-sense BCH codes over \(\mathbb{F}_q\) of length \(\frac{q^m-1}{2} \). Zbl 1430.94094
Ling, Xin; Mesnager, Sihem; Qi, Yanfeng; Tang, Chunming
4
2020
On \(q\)-ary plateaued functions over \(\mathbb{F}_q\) and their explicit characterizations. Zbl 1435.94160
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet; Cohen, Gérard
4
2019
A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity. Zbl 1469.94257
Mesnager, Sihem; Su, Sihong; Zhang, Hui
4
2021
Yet another variation on minimal linear codes. Zbl 1352.94089
Cohen, Gérard; Mesnager, Sihem; Randriam, Hugues
4
2016
On existence (based on an arithmetical problem) and constructions of bent functions. Zbl 1376.94060
Mesnager, Sihem; Cohen, Gérard; Madore, David
4
2015
Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity. Zbl 1515.94122
Mesnager, Sihem; Su, Sihong; Li, Jingjing; Zhu, Linya
4
2022
Generalized plateaued functions and admissible (plateaued) functions. Zbl 1390.94952
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
4
2017
New bent functions from permutations and linear translators. Zbl 1408.94949
Mesnager, Sihem; Ongan, Pınar; Özbudak, Ferruh
4
2017
On the Menezes-Teske-Weng conjecture. Zbl 1439.11296
Mesnager, Sihem; Kim, Kwang Ho; Choe, Junyop; Tang, Chunming
4
2020
Codebooks from generalized bent \(\mathbb{Z}_4\)-valued quadratic forms. Zbl 1487.94200
Qi, Yanfeng; Mesnager, Sihem; Tang, Chunming
3
2020
Good polynomials for optimal LRC of low locality. Zbl 1469.94127
Chen, Ruikai; Mesnager, Sihem; Zhao, Chang-An
3
2021
On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions. Zbl 1453.94172
Mesnager, Sihem; Kim, Kwang Ho; Jo, Myong Song
3
2020
New characterizations and construction methods of bent and hyper-bent Boolean functions. Zbl 1460.94102
Mesnager, Sihem; Mandal, Bimal; Tang, Chunming
3
2020
2-correcting Lee codes: (quasi)-perfect spectral conditions and some constructions. Zbl 1392.94949
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
3
2018
On immunity profile of Boolean functions. Zbl 1152.94408
Carlet, Claude; Guillot, Philippe; Mesnager, Sihem
3
2006
Semi-bent functions with multiple trace terms and hyperelliptic curves. Zbl 1303.94149
Mesnager, Sihem
3
2012
On construction of bent functions involving symmetric functions and their duals. Zbl 1408.94951
Mesnager, Sihem; Zhang, Fengrong; Zhou, Yong
3
2017
Generic constructions of (Boolean and vectorial) bent functions and their consequences. Zbl 1497.94221
Li, Yanjun; Kan, Haibin; Mesnager, Sihem; Peng, Jie; Tan, Chik How; Zheng, Lijing
3
2022
A novel application of Boolean functions with high algebraic immunity in minimal codes. Zbl 1487.94209
Chen, Hang; Ding, Cunsheng; Mesnager, Sihem; Tang, Chunming
2
2021
Solving some affine equations over finite fields. Zbl 1469.12004
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam
2
2020
A direct proof of APN-ness of the Kasami functions. Zbl 1473.11225
Carlet, Claude; Kim, Kwang Ho; Mesnager, Sihem
2
2021
Variations on minimal linear codes. Zbl 1398.94211
Cohen, Gérard; Mesnager, Sihem
2
2015
Bent and semi-bent functions via linear translators. Zbl 1376.94036
Koçak, Neşe; Mesnager, Sihem; Özbudak, Ferruh
2
2015
On constructions of semi-bent functions from bent functions. Zbl 1328.94064
Cohen, Gérard; Mesnager, Sihem
2
2014
Further results on semi-bent functions in polynomial form. Zbl 1353.94041
Cao, Xiwang; Chen, Hao; Mesnager, Sihem
2
2016
Completely characterizing a class of permutation quadrinomials. Zbl 1522.11124
Kim, Kwang Ho; Mesnager, Sihem; Kim, Chung Hyok; Jo, Myong Chol
2
2023
Optimal quaternary \((r,\delta)\)-locally recoverable codes: their structures and complete classification. Zbl 1515.94108
Xu, Li; Zhou, Zhengchun; Zhang, Jun; Mesnager, Sihem
1
2023
Evaluation of Weil sums for some polynomials and associated quadratic forms. Zbl 1532.11165
Chen, Ruikai; Mesnager, Sihem
1
2023
Further projective binary linear codes derived from two-to-one functions and their duals. Zbl 07664777
Mesnager, Sihem; Qian, Liqin; Cao, Xiwang
1
2023
On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity. Zbl 1495.94171
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam; Lee, Sengsan; Jo, Myong Chol
7
2022
Survey on recent trends towards generalized differential and boomerang uniformities. Zbl 1498.94114
Mesnager, Sihem; Mandal, Bimal; Msahli, Mounira
7
2022
On infinite families of narrow-sense antiprimitive BCH codes admitting 3-transitive automorphism groups and their consequences. Zbl 1497.94173
Liu, Qi; Ding, Cunsheng; Mesnager, Sihem; Tang, Chunming; Tonchev, Vladimir D.
6
2022
Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity. Zbl 1515.94122
Mesnager, Sihem; Su, Sihong; Li, Jingjing; Zhu, Linya
4
2022
Generic constructions of (Boolean and vectorial) bent functions and their consequences. Zbl 1497.94221
Li, Yanjun; Kan, Haibin; Mesnager, Sihem; Peng, Jie; Tan, Chik How; Zheng, Lijing
3
2022
Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the Gold, and the Bracken-Leander S-boxes. Zbl 1504.94137
Eddahmani, Said; Mesnager, Sihem
2
2022
On those multiplicative subgroups of \({\mathbb F}_{2^n}^\ast\) which are Sidon sets and/or sum-free sets. Zbl 1492.11061
Carlet, Claude; Mesnager, Sihem
2
2022
Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions. Zbl 1497.11288
Kim, Kwang Ho; Mesnager, Sihem
1
2022
A function field approach toward good polynomials for further results on optimal LRC codes. Zbl 1489.94134
Chen, Ruikai; Mesnager, Sihem
1
2022
Classification of the codewords of weights 16 and 18 of the Reed-Muller code \(RM(n-3,n)\). Zbl 1489.94199
Mesnager, Sihem; Oblaukhov, Alexey
1
2022
A new family of polyphase sequences with low correlation. Zbl 1495.11091
Gu, Zhi; Zhou, Zhengchun; Mesnager, Sihem; Parampalli, Udaya
1
2022
Constructions of two-dimensional Z-complementary array pairs with large ZCZ ratio. Zbl 1487.94015
Zhang, Hui; Fan, Cuiling; Mesnager, Sihem
1
2022
On one-dimensional linear minimal codes over finite (commutative) rings. Zbl 1497.94165
Maji, Makhan; Mesnager, Sihem; Sarkar, Santanu; Hansda, Kalyan
1
2022
Investigations on \(c\)-(almost) perfect nonlinear functions. Zbl 1487.94133
Mesnager, Sihem; Riera, Constanza; Stănică, Pantelimon; Yan, Haode; Zhou, Zhengchun
21
2021
Solving \(X^{q+1}+X+a=0\) over finite fields. Zbl 1476.12001
Kim, Kwang Ho; Choe, Junyop; Mesnager, Sihem
11
2021
On constructions of weightwise perfectly balanced Boolean functions. Zbl 1492.94254
Mesnager, Sihem; Su, Sihong
10
2021
Linear codes with one-dimensional hull associated with Gaussian sums. Zbl 1469.94140
Qian, Liqin; Cao, Xiwang; Mesnager, Sihem
9
2021
Linear codes from functions. Zbl 1489.94146
Mesnager, Sihem
8
2021
On hulls of some primitive BCH codes and self-orthogonal codes. Zbl 1487.94164
Gan, Chunyu; Li, Chengju; Mesnager, Sihem; Qian, Haifeng
8
2021
Further study of 2-to-1 mappings over \(F_{2^n}\). Zbl 1473.94179
Li, Kangquan; Mesnager, Sihem; Qu, Longjiang
5
2021
Complete solution over \(\mathbb{F}_{p^n}\) of the equation \(X^{p^k+1}+X+a=0\). Zbl 1505.12002
Kim, Kwang Ho; Choe, Jong Hyok; Mesnager, Sihem
5
2021
A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity. Zbl 1469.94257
Mesnager, Sihem; Su, Sihong; Zhang, Hui
4
2021
Good polynomials for optimal LRC of low locality. Zbl 1469.94127
Chen, Ruikai; Mesnager, Sihem; Zhao, Chang-An
3
2021
A novel application of Boolean functions with high algebraic immunity in minimal codes. Zbl 1487.94209
Chen, Hang; Ding, Cunsheng; Mesnager, Sihem; Tang, Chunming
2
2021
A direct proof of APN-ness of the Kasami functions. Zbl 1473.11225
Carlet, Claude; Kim, Kwang Ho; Mesnager, Sihem
2
2021
Fast algebraic immunity of Boolean functions and LCD codes. Zbl 1475.94220
Mesnager, Sihem; Tang, Chunming
2
2021
Post-quantum secure inner product functional encryption using multivariate public key cryptography. Zbl 1473.94094
Debnath, Sumit Kumar; Mesnager, Sihem; Dey, Kunal; Kundu, Nibedita
2
2021
Cyclic bent functions and their applications in sequences. Zbl 1473.94176
Abdukhalikov, Kanat; Ding, Cunsheng; Mesnager, Sihem; Tang, Chunming; Xiong, Maosheng
1
2021
Secondary constructions of (non)-weakly regular plateaued functions over finite fields. Zbl 1498.94115
Mesnager, Sihem; Özbudak, Ferruh; Sinak, Ahmet
1
2021
Several classes of minimal linear codes with few weights from weakly regular plateaued functions. Zbl 1448.94271
Mesnager, Sihem; Sınak, Ahmet
30
2020
On the boomerang uniformity of quadratic permutations. Zbl 1465.94097
Mesnager, Sihem; Tang, Chunming; Xiong, Maosheng
18
2020
Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\). Zbl 1507.11109
Kim, Kwang Ho; Mesnager, Sihem
17
2020
Recent results and problems on constructions of linear codes from cryptographic functions. Zbl 1469.94135
Li, Nian; Mesnager, Sihem
15
2020
Constructions of self-orthogonal codes from hulls of BCH codes and their parameters. Zbl 1453.94151
Du, Zongrun; Li, Chengju; Mesnager, Sihem
12
2020
Minimal linear codes from characteristic functions. Zbl 1448.94270
Mesnager, Sihem; Qi, Yanfeng; Ru, Hongming; Tang, Chunming
11
2020
Solving \(x+x^{2^l}+\ldots +x^{2^{ml}}=a\) over \(\mathbb{F}_{2^n} \). Zbl 1446.11207
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam; Go, Dae Song
9
2020
Constructions of optimal locally recoverable codes via Dickson polynomials. Zbl 1465.94112
Liu, Jian; Mesnager, Sihem; Tang, Deng
5
2020
A class of narrow-sense BCH codes over \(\mathbb{F}_q\) of length \(\frac{q^m-1}{2} \). Zbl 1430.94094
Ling, Xin; Mesnager, Sihem; Qi, Yanfeng; Tang, Chunming
4
2020
On the Menezes-Teske-Weng conjecture. Zbl 1439.11296
Mesnager, Sihem; Kim, Kwang Ho; Choe, Junyop; Tang, Chunming
4
2020
Codebooks from generalized bent \(\mathbb{Z}_4\)-valued quadratic forms. Zbl 1487.94200
Qi, Yanfeng; Mesnager, Sihem; Tang, Chunming
3
2020
On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions. Zbl 1453.94172
Mesnager, Sihem; Kim, Kwang Ho; Jo, Myong Song
3
2020
New characterizations and construction methods of bent and hyper-bent Boolean functions. Zbl 1460.94102
Mesnager, Sihem; Mandal, Bimal; Tang, Chunming
3
2020
Solving some affine equations over finite fields. Zbl 1469.12004
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam
2
2020
A proof of the Beierle-Kranz-Leander conjecture related to lightweight multiplication in \(\mathbb{F}_{2^n} \). Zbl 1469.94108
Mesnager, Sihem; Kim, Kwang Ho; Jo, Dujin; Choe, Junyop; Han, Munhyon; Lee, Dok Nam
1
2020
New characterizations for the multi-output correlation-immune Boolean functions. Zbl 1460.94100
Chai, Jinjin; Mesnager, Sihem; Wang, Zilong
1
2020
On generalized hyper-bent functions. Zbl 1478.11151
Mesnager, Sihem
1
2020
Linear codes from weakly regular plateaued functions and their secret sharing schemes. Zbl 1421.94098
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
30
2019
New characterization and parametrization of LCD codes. Zbl 1431.94143
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
25
2019
On \(\sigma\)-LCD codes. Zbl 1431.94181
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
17
2019
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
15
2019
Linear codes with small hulls in semi-primitive case. Zbl 1423.94145
Carlet, Claude; Li, Chengju; Mesnager, Sihem
13
2019
On two-to-one mappings over finite fields. Zbl 1433.11137
Mesnager, Sihem; Qu, Longjiang
12
2019
Weightwise perfectly balanced functions with high weightwise nonlinearity profile. Zbl 1453.94101
Liu, Jian; Mesnager, Sihem
11
2019
Several new classes of self-dual bent functions derived from involutions. Zbl 1460.11147
Luo, Gaojun; Cao, Xiwang; Mesnager, Sihem
6
2019
Further study on the maximum number of bent components of vectorial functions. Zbl 1421.94129
Mesnager, Sihem; Zhang, Fengrong; Tang, Chunming; Zhou, Yong
5
2019
On \(q\)-ary plateaued functions over \(\mathbb{F}_q\) and their explicit characterizations. Zbl 1435.94160
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet; Cohen, Gérard
4
2019
Multiple characters transforms and generalized Boolean functions. Zbl 1434.94122
Mesnager, Sihem; Riera, Constanza; Stănică, Pantelimon
2
2019
Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud
81
2018
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
53
2018
Complementary dual algebraic geometry codes. Zbl 1390.94918
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
33
2018
Further results on generalized bent functions and their complete characterization. Zbl 1401.94265
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Wang, Libo; Wu, Baofeng; Feng, Keqin
12
2018
Bent functions from involutions over \({\mathbb F_{2^n}}\). Zbl 1392.94966
Coulter, Robert S.; Mesnager, Sihem
12
2018
Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111
Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh
9
2018
Classification of bent monomials, constructions of bent multinomials and upper bounds on the nonlinearity of vectorial functions. Zbl 1390.94955
Xu, Yuwei; Carlet, Claude; Mesnager, Sihem; Wu, Chuankun
8
2018
New constructions of optimal locally recoverable codes via good polynomials. Zbl 1390.94939
Liu, Jian; Mesnager, Sihem; Chen, Lusheng
7
2018
On the \(p\)-ary (cubic) bent and plateaued (vectorial) functions. Zbl 1402.94065
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
5
2018
2-correcting Lee codes: (quasi)-perfect spectral conditions and some constructions. Zbl 1392.94949
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
3
2018
Characterizations of partially bent and plateaued functions over finite fields. Zbl 1445.94047
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
1
2018
Statistical integral distinguisher with multi-structure and its application on AES-like ciphers. Zbl 1387.94078
Cui, Tingting; Chen, Huaifeng; Mesnager, Sihem; Sun, Ling; Wang, Meiqin
1
2018
Linear codes with few weights from weakly regular bent functions based on a generic construction. Zbl 1351.94079
Mesnager, Sihem
45
2017
Decomposing generalized bent and hyperbent functions. Zbl 1390.94951
Martinsen, Thor; Meidl, Wilfried; Mesnager, Sihem; Stǎnicǎ, Pantelimon
12
2017
DNA cyclic codes over rings. Zbl 1357.94090
Bennenni, Nabil; Guenda, Kenza; Mesnager, Sihem
10
2017
On constructions of bent, semi-bent and five valued spectrum functions from old bent functions. Zbl 1408.94950
Mesnager, Sihem; Zhang, Fengrong
8
2017
Explicit characterizations for plateaued-Ness of \(p\)-ary (vectorial) functions. Zbl 1420.94122
Carlet, Claude; Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
6
2017
Bent functions linear on elements of some classical spreads and presemifields spreads. Zbl 1354.51015
Abdukhalikov, Kanat; Mesnager, Sihem
5
2017
On the nonlinearity of S-boxes and linear codes. Zbl 1357.94071
Liu, Jian; Mesnager, Sihem; Chen, Lusheng
5
2017
Generalized plateaued functions and admissible (plateaued) functions. Zbl 1390.94952
Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
4
2017
New bent functions from permutations and linear translators. Zbl 1408.94949
Mesnager, Sihem; Ongan, Pınar; Özbudak, Ferruh
4
2017
On construction of bent functions involving symmetric functions and their duals. Zbl 1408.94951
Mesnager, Sihem; Zhang, Fengrong; Zhou, Yong
3
2017
Explicit constructions of bent functions from pseudo-planar functions. Zbl 1404.94032
Abdukhalikov, Kanat; Mesnager, Sihem
2
2017
Fast algebraic immunity of Boolean functions. Zbl 1361.94044
Mesnager, Sihem; Cohen, Gérard
1
2017
Bent functions. Fundamentals and results. Zbl 1364.94008
Mesnager, Sihem
124
2016
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
90
2016
Involutions over the Galois field \(\mathbb F_{2^n}\). Zbl 1359.94789
Charpin, Pascale; Mesnager, Sihem; Sarkar, Sumanta
34
2016
Further constructions of infinite families of bent functions from new permutations and their duals. Zbl 1338.94119
Mesnager, Sihem
13
2016
Dickson polynomials that are involutions. Zbl 1382.11087
Charpin, Pascale; Mesnager, Sihem; Sarkar, Sumanta
13
2016
Results on characterizations of plateaued functions in arbitrary characteristic. Zbl 1336.94064
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
11
2016
Yet another variation on minimal linear codes. Zbl 1352.94089
Cohen, Gérard; Mesnager, Sihem; Randriam, Hugues
4
2016
Further results on semi-bent functions in polynomial form. Zbl 1353.94041
Cao, Xiwang; Chen, Hao; Mesnager, Sihem
2
2016
Secret sharing schemes with general access structures. Zbl 1376.94053
Liu, Jian; Mesnager, Sihem; Chen, Lusheng
1
2016
Bent vectorial functions and linear codes from o-polynomials. Zbl 1347.94052
Mesnager, Sihem
18
2015
Optimal codebooks from binary codes meeting the Levenshtein bound. Zbl 1359.94917
Xiang, Can; Ding, Cunsheng; Mesnager, Sihem
18
2015
Bent functions from spreads. Zbl 1419.94044
Mesnager, Sihem
9
2015
On existence (based on an arithmetical problem) and constructions of bent functions. Zbl 1376.94060
Mesnager, Sihem; Cohen, Gérard; Madore, David
4
2015
Variations on minimal linear codes. Zbl 1398.94211
Cohen, Gérard; Mesnager, Sihem
2
2015
Bent and semi-bent functions via linear translators. Zbl 1376.94036
Koçak, Neşe; Mesnager, Sihem; Özbudak, Ferruh
2
2015
...and 29 more Documents
all top 5

Cited by 695 Authors

65 Mesnager, Sihem
29 Carlet, Claude
27 Cao, Xiwang
26 Pasalic, Enes
24 Stănică, Pantelimon
24 Tang, Chunming
19 Zeng, Xiangyong
18 Li, Nian
18 Özbudak, Ferruh
16 Zhang, Fengrong
15 Meidl, Wilfried
14 Heng, Ziling
14 Qu, Longjiang
13 Fu, Fangwei
12 Li, Chengju
12 Qi, Yanfeng
12 Shi, Minjia
11 Hyun, Jong-Yoon
11 Li, Kangquan
11 Su, Sihong
11 Wang, Qichun
11 Wei, Yongzhuang
11 Xiang, Can
11 Zhu, Shixin
10 Ding, Cunsheng
10 Kim, Kwang Ho
10 Solé, Patrick
10 Yue, Qin
9 Bartoli, Daniele
9 Harada, Masaaki
9 Qian, Liqin
9 Riera, Constanza
9 Xu, Guangkui
9 Zhou, Zhengchun
8 Guenda, Kenza
8 Tan, Chik How
8 Tang, Deng
8 Wu, Yansheng
8 Yan, Haode
7 Abdukhalikov, Kanat S.
7 Bapić, Amar
7 Gangopadhyay, Sugata
7 Hu, Lei
7 Kan, Haibin
7 Liu, Xiusheng
7 Peng, Jie
7 Pott, Alexander
7 Sınak, Ahmet
6 Cepak, Nastja
6 Hodžić, Samir
6 Li, Chunlei
6 Méaux, Pierrick
6 Sok, Lin
6 Zheng, Dabin
6 Zheng, Lijing
5 Araya, Makoto
5 Bonini, Matteo
5 Borello, Martino
5 Calderini, Marco
5 Çeşmelioğlu, Ayça
5 Cohen, Gérard Denis
5 Crnković, Dean
5 Fan, Cuiling
5 Gulliver, Thomas Aaron
5 Jeong, Jaeseong
5 Kim, Jon-Lark
5 Koo, Namhun
5 Kutsenko, Aleksandr Vladimirovich
5 Kwon, Soonhak
5 Lee, Yoonjin
5 Li, Shitao
5 Liu, Jian
5 Luo, Gaojun
5 Mandal, Bimal
5 Panario, Daniel
5 Saito, Ken
5 Shi, Zexia
5 Švob, Andrea
5 Timpanella, Marco
5 Wang, Qiang (Steven)
5 Wang, Zilong
4 Chen, Ruikai
4 Choe, Jong Hyok
4 Du, Xiaoni
4 Güneri, Cem
4 Hasan, Sartaj Ul
4 Hu, Zhao
4 Li, Dexiang
4 Li, Yanjun
4 Liu, Hongwei
4 Liu, Hualu
4 Liu, Zihui
4 Lu, Wei
4 Neri, Alessandro
4 Pang, Binbin
4 Ryabov, Vladimir Gennadievich
4 Sharma, Anuradha
4 Spiegelhofer, Lukas
4 Wang, Lisha
4 Wu, Chuankun
...and 595 more Authors
all top 5

Cited in 83 Serials

116 Designs, Codes and Cryptography
100 Cryptography and Communications
75 Finite Fields and their Applications
53 Advances in Mathematics of Communications
38 Discrete Mathematics
34 Discrete Applied Mathematics
23 Applicable Algebra in Engineering, Communication and Computing
11 Quantum Information Processing
10 Journal of Combinatorial Theory. Series A
10 International Journal of Foundations of Computer Science
8 Journal of Applied Mathematics and Computing
6 Journal of Algebraic Combinatorics
6 Computational and Applied Mathematics
5 Journal of Systems Science and Complexity
4 Information Processing Letters
4 Information Sciences
4 SIAM Journal on Discrete Mathematics
4 International Journal of Computer Mathematics
4 Journal of Algebra, Combinatorics, Discrete Structures and Applications
3 European Journal of Combinatorics
3 The Electronic Journal of Combinatorics
3 Journal of Combinatorial Designs
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Discrete Mathematics, Algorithms and Applications
3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
3 Prikladnaya Diskretnaya Matematika
3 Matematicheskie Voprosy Kriptografii
2 Bulletin of the Australian Mathematical Society
2 International Journal of Theoretical Physics
2 Linear and Multilinear Algebra
2 Journal of Algebra
2 Journal of the Korean Mathematical Society
2 Bulletin of the Korean Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Information and Computation
2 Turkish Journal of Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Acta Mathematica Sinica. Chinese Series
2 Advances and Applications in Discrete Mathematics
2 International Journal of Biomathematics
2 AIMS Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Problems of Information Transmission
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Gaṇita
1 Journal of Geometry
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Graphs and Combinatorics
1 Discrete Mathematics and Applications
1 Aequationes Mathematicae
1 The Australasian Journal of Combinatorics
1 Advances in Applied Clifford Algebras
1 Annals of Mathematics and Artificial Intelligence
1 Complexity
1 Nonlinear Dynamics
1 Vietnam Journal of Mathematics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Far East Journal of Applied Mathematics
1 Integers
1 Advances in Geometry
1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk
1 Journal of Algebra and its Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 International Journal of Quantum Information
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Frontiers of Mathematics in China
1 Journal of Mathematical Cryptology
1 Algebra & Number Theory
1 Asian-European Journal of Mathematics
1 International Journal of Engineering Mathematics
1 Mathematical Foundations of Computing
1 Journal of Algebraic Systems

Citations by Year