## Cryptography and Communications

### Discrete Structures, Boolean Functions and Sequences

 Short Title: Cryptogr. Commun. Publisher: Springer US, New York, NY ISSN: 1936-2447; 1936-2455/e Online: http://link.springer.com/journal/volumesAndIssues/12095 Comments: Indexed cover-to-cover; Published electronic only as of Vol. 3 (2011). Print-ISSN until then 1936-2447.
 Documents Indexed: 574 Publications (since 2009) References Indexed: 556 Publications with 13,563 References.
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### Latest Issues

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### Authors

 24 Mesnager, Sihem 18 Helleseth, Tor 16 Cao, Xiwang 13 Fu, Fangwei 13 Stănică, Pantelimon 11 Budaghyan, Lilya 11 Yue, Qin 9 Zhou, Zhengchun 8 Ding, Cunsheng 8 Luo, Gaojun 8 Meidl, Wilfried 8 Özbudak, Ferruh 8 Pasalic, Enes 8 Solé, Patrick 7 Carlet, Claude 7 Gong, Guang 7 Qu, Longjiang 7 Sarkar, Palash 7 Wang, Qiang (Steven) 7 Zhou, Limengnan 6 Han, Hongyu 6 Li, Chunlei 6 Lin, Dongdai 6 Maitra, Subhamoy 6 Riera, Constanza 6 Shi, Minjia 6 Tang, Chunming 6 Winterhof, Arne 6 Xu, Guangkui 6 Xu, Shanding 6 Yan, Haode 6 Yan, Tongjiang 6 Zeng, Xiangyong 6 Zhu, Shixin 5 Cusick, Thomas W. 5 Kaleyski, Nikolay S. 5 Li, Kangquan 5 Li, Nian 5 Liu, Xing 5 Nikova, Svetla Jordanova 5 Parampalli, Udaya 5 Parker, Matthew Geoffrey 5 Peralta, René C. 5 Stinson, Douglas Robert 5 Tang, Deng 5 Xiang, Can 4 Bartoli, Daniele 4 Calderini, Marco 4 Cao, Yuan 4 Edemskiĭ, Vladimir Anatol’evich 4 Gao, Jian 4 Harada, Masaaki 4 Hodžić, Samir 4 Kim, Kwang Ho 4 Klapper, Andrew M. 4 Ling, San 4 Mérai, László 4 Paterson, Maura Beth 4 Peng, Daiyuan 4 Pott, Alexander 4 Qi, Wenfeng 4 Rijmen, Vincent 4 Sharma, Anuradha 4 Sönmez Turan, Meltem 4 Sun, Yuhua 4 Vaudenay, Serge 4 Wang, Huaxiong 4 Wang, Meiqin 4 Yang, Yang 4 Zhang, Fengrong 3 Aagaard, Mark D. 3 Anbar, Nurdagül 3 Arasu, Krishnasamy Thiru 3 Çalık, Çağdaş 3 Cao, Yonglin 3 Chen, Zhixiong 3 Cheng, Minquan 3 Cui, Tingting 3 Du, Xiaoni 3 Fan, Cuiling 3 Fang, Weijun 3 Feng, Keqin 3 Gangopadhyay, Sugata 3 Guilley, Sylvain 3 Gupta, Manish Kumar 3 Hell, Martin 3 Honkala, Iiro S. 3 Hu, Zhi 3 Hudry, Olivier 3 Islam, Habibul 3 Jiang, Jing 3 Jiang, Yupeng 3 Jolly, Nathan 3 Kaşıkcı, Canan 3 Kholosha, Alexander 3 Li, Chengju 3 Li, Xia 3 Liu, Jian 3 Liu, Zihui 3 Lobstein, Antoine-Christophe ...and 741 more Authors
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### Fields

 517 Information and communication theory, circuits (94-XX) 216 Number theory (11-XX) 64 Combinatorics (05-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 46 Computer science (68-XX) 20 Quantum theory (81-XX) 18 Algebraic geometry (14-XX) 14 General and overarching topics; collections (00-XX) 14 Field theory and polynomials (12-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Statistics (62-XX) 10 Numerical analysis (65-XX) 7 Geometry (51-XX) 6 Group theory and generalizations (20-XX) 6 Probability theory and stochastic processes (60-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

348 Publications have been cited 1,469 times in 1,034 Documents Cited by Year
A few more quadratic APN functions. Zbl 1282.11162
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2011
Linear codes with few weights from weakly regular bent functions based on a generic construction. Zbl 1351.94079
Mesnager, Sihem
2017
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
2017
Two and three weight codes over $$\mathbb {F}_p+u\mathbb {F}_p$$. Zbl 1409.94928
Shi, Minjia; Wu, Rongsheng; Liu, Yan; Solé, Patrick
2017
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
2019
Quantum codes over $$F_{p}$$ from cyclic codes over $$F_{p}[u, v]/\langle u^2 - 1$$, $$v^3 - v, uv - vu\rangle$$. Zbl 1409.94920
Ashraf, Mohammad; Mohammad, Ghulam
2019
Hadamard matrices and their applications: progress 2007–2010. Zbl 1198.15001
Horadam, K. J.
2010
A note on the constructions of MDS self-dual codes. Zbl 1409.94929
Yan, Haode
2019
Some bounds on binary LCD codes. Zbl 1391.94844
Galvez, Lucky; Kim, Jon-Lark; Lee, Nari; Roe, Young Gun; Won, Byung-Sun
2018
$$X^{2^l+1}+x+a$$ and related affine polynomials over $$\mathrm{GF}(2^k$$). Zbl 1192.94098
Helleseth, Tor; Kholosha, Alexander
2010
New commutative semifields defined by new PN multinomials. Zbl 1291.12006
Budaghyan, Lilya; Helleseth, Tor
2011
New differentially 4-uniform permutations by modifying the inverse function on subfields. Zbl 1366.94526
Peng, Jie; Tan, Chik How
2017
Permutation polynomials of the form $$cx+\mathrm{Tr}_{q^l/ q}(x^a)$$ and permutation trinomials over finite fields with even characteristic. Zbl 1382.11091
Li, Kangquan; Qu, Longjiang; Chen, Xi; Li, Chao
2018
A survey on the applications of Niho exponents. Zbl 1412.12001
Li, Nian; Zeng, Xiangyong
2019
Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes. Zbl 1396.81072
Shi, Xueying; Yue, Qin; Chang, Yaotsu
2018
On a class of permutation trinomials in characteristic 2. Zbl 1446.11206
Hou, Xiang-Dong
2019
On self-dual and LCD double circulant and double negacirculant codes over $$\mathbb{F}_q+u\mathbb{F}_q$$. Zbl 1446.94195
Shi, Minjia; Zhu, Hongwei; Qian, Liqin; Sok, Lin; Solé, Patrick
2020
Exotic complex Hadamard matrices and their equivalence. Zbl 1228.05097
Szöllősi, Ferenc
2010
Functions of degree $$4e$$ that are not APN infinitely often. Zbl 1235.11113
Rodier, François
2011
Linear codes from a generic construction. Zbl 1372.94458
Xiang, Can
2016
Further constructions of infinite families of bent functions from new permutations and their duals. Zbl 1338.94119
Mesnager, Sihem
2016
Threshold implementations of small S-boxes. Zbl 1365.94403
Bilgin, Begül; Nikova, Svetla; Nikov, Ventzislav; Rijmen, Vincent; Tokareva, Natalia; Vitkup, Valeriya
2015
Permutation polynomials EA-equivalent to the inverse function over $$\mathrm{GF}(2^n)$$. Zbl 1251.94032
Li, Yongqiang; Wang, Mingsheng
2011
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
2019
Weights of Boolean cubic monomial rotation symmetric functions. Zbl 1282.94109
Bileschi, Maxwell L.; Cusick, Thomas W.; Padgett, Daniel
2012
Binary linear codes with two or three weights from Niho exponents. Zbl 1412.94234
Luo, Gaojun; Cao, Xiwang; Xu, Shanding; Mi, Jiafu
2018
An overview of distinguishing attacks on stream ciphers. Zbl 1178.94189
Hell, Martin; Johansson, Thomas; Brynielsson, Lennart
2009
A class of three-weight linear codes and their complete weight enumerators. Zbl 1416.94069
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
Reversed genetic algorithms for generation of bijective s-boxes with good cryptographic properties. Zbl 1338.94074
Ivanov, Georgi; Nikolov, Nikolay; Nikova, Svetla
2016
On solving LPN using BKW and variants, Implementation and analysis. Zbl 1338.94068
Bogos, Sonia; Tramèr, Florian; Vaudenay, Serge
2016
Binary linear complementary dual codes. Zbl 1459.94166
Harada, Masaaki; Saito, Ken
2019
Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855
Mérai, László; Niederreiter, Harald; Winterhof, Arne
2017
The second weight of generalized Reed-Muller codes in most cases. Zbl 1192.94107
Rolland, Robert
2010
A Fourier-analytic approach to counting partial Hadamard matrices. Zbl 1225.05056
De Launey, Warwick; Levin, David A.
2010
Non abelian bent functions. Zbl 1282.11165
Poinsot, Laurent
2012
Optimal $$p$$-ary cyclic codes with minimum distance four from monomials. Zbl 1372.94467
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2016
Repeated-root constacyclic codes of length $$\ell^{t}p^{s}$$ and their dual codes. Zbl 1344.94095
Sharma, Anuradha
2015
Generalized bent functions – some general construction methods and related necessary and sufficient conditions. Zbl 1343.94064
Hodžić, S.; Pasalic, E.
2015
Asymptotic enumeration of correlation-immune Boolean functions. Zbl 1218.05016
Canfield, E. Rodney; Gao, Zhicheng; Greenhill, Catherine; McKay, Brendan D.; Robinson, Robert W.
2010
Recent results and problems on constructions of linear codes from cryptographic functions. Zbl 1469.94135
Li, Nian; Mesnager, Sihem
2020
Quadruple bordered constructions of self-dual codes from group rings. Zbl 1446.94177
Dougherty, Steven T.; Gildea, Joseph; Kaya, Abidin
2020
Construction of quaternary sequences of length $$pq$$ with low autocorrelation. Zbl 1235.94044
Yang, Zheng; Ke, Pinhui
2011
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
2020
A mass formula for negacyclic codes of length $$2^k$$ and some good negacyclic codes over $$\mathbb {Z}_{4}+u\mathbb {Z}_{4}$$. Zbl 1362.94066
Bandi, Rama Krishna; Bhaintwal, Maheshanand; Aydin, Nuh
2017
Hadamard partitioned difference families and their descendants. Zbl 1415.05024
Buratti, Marco
2019
Cryptographically significant MDS matrices based on circulant and circulant-like matrices for lightweight applications. Zbl 1365.94432
Gupta, Kishan; Ray, Indranil
2015
Applying cube attacks to stream ciphers in realistic scenarios. Zbl 1285.94057
Dinur, Itai; Shamir, Adi
2012
The exact autocorrelation distribution and 2-adic complexity of a class of binary sequences with almost optimal autocorrelation. Zbl 1387.94061
Sun, Yuhua; Wang, Qiang; Yan, Tongjiang
2018
Pseudorandom numbers and hash functions from iterations of multivariate polynomials. Zbl 1185.11049
Ostafe, Alina; Shparlinski, Igor E.
2010
A Chinese remainder theorem approach to skew generalized quasi-cyclic codes over finite fields. Zbl 1344.94092
Gao, Jian; Shen, Linzhi; Fu, Fang-Wei
2016
On the boomerang uniformity of some permutation polynomials. Zbl 1469.94248
Calderini, Marco; Villa, Irene
2020
New constructions of involutions over finite fields. Zbl 1459.11223
Niu, Tailin; Li, Kangquan; Qu, Longjiang; Wang, Qiang
2020
Combinatorial bounds and characterizations of splitting authentication codes. Zbl 1198.94100
Huber, Michael
2010
Error decodable secret sharing and one-round perfectly secure message transmission for general adversary structures. Zbl 1235.94056
Martin, Keith M.; Paterson, Maura B.; Stinson, Douglas R.
2011
Boolean functions derived from Fermat quotients. Zbl 1235.06014
Aly, Hassan; Winterhof, Arne
2011
Crosscorrelation of $$m$$-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110
Helleseth, Tor; Kholosha, Alexander
2011
Optimal codebooks achieving the Levenshtein bound from generalized bent functions over $$\mathbb {Z}_{4}$$. Zbl 1380.94154
Heng, Ziling; Yue, Qin
2017
Complete weight enumerators of some linear codes from quadratic forms. Zbl 1416.94071
Zhang, Dan; Fan, Cuiling; Peng, Daiyuan; Tang, Xiaohu
2017
Complete weight distributions of two classes of cyclic codes. Zbl 1366.94638
Heng, Ziling; Yue, Qin
2017
Five classes of optimal two-weight linear codes. Zbl 1419.94073
Luo, Gaojun; Cao, Xiwang
2018
Equivalence classes for cubic rotation symmetric functions. Zbl 1335.94112
Brown, Alyssa; Cusick, Thomas W.
2013
Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341
Carlet, Claude; Guilley, Sylvain
2018
Second weight codewords of generalized Reed-Muller codes. Zbl 1285.94121
Leducq, Elodie
2013
Linear complexity of Ding-Helleseth sequences of order 2 over $$\mathrm{GF}(l)$$. Zbl 1344.94027
Wang, Qiuyan; Jiang, Yupeng; Lin, Dongdai
2016
The $$c$$-differential behavior of the inverse function under the EA-equivalence. Zbl 1469.94260
Stănică, Pantelimon; Geary, Aaron
2021
A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity. Zbl 1446.94160
Tang, Deng; Liu, Jian
2019
On constacyclic codes over finite fields. Zbl 1344.94097
Sharma, Anuradha; Rani, Saroj
2016
Two classes of $$p$$-ary bent functions and linear codes with three or four weights. Zbl 1416.94068
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2017
Constructions of negabent functions over finite fields. Zbl 1353.05029
Zhou, Yue; Qu, Longjiang
2017
A class of permutation trinomials over finite fields of odd characteristic. Zbl 1415.05006
Tu, Ziran; Zeng, Xiangyong
2019
A lower bound on the size of the largest metrically regular subset of the Boolean cube. Zbl 1456.94102
Oblaukhov, Alexey
2019
A simple suboptimal construction of cross-bifix-free codes. Zbl 1290.94027
Bajic, Dragana; Loncar-Turukalo, Tatjana
2014
$$(1-2u^{3})$$-constacyclic codes and quadratic residue codes over $$\mathbb {F}_{p}[u]/\langle u^{4}-u\rangle$$. Zbl 1409.94935
Raka, Madhu; Kathuria, Leetika; Goyal, Mokshi
2017
Cyclic codes of odd length over $$\mathbb{Z}_4 [u]/u^k$$. Zbl 1409.94931
Cao, Yuan; Li, Qingguo
2017
A simple stream cipher with proven properties. Zbl 1282.94065
Si, Wenpei; Ding, Cunsheng
2012
A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ’s conjecture. Zbl 1326.05164
Castro, Francis N.; González, Oscar E.; Medina, Luis A.
2015
On decoding additive generalized twisted Gabidulin codes. Zbl 1469.94162
Kadir, Wrya K.; Li, Chunlei
2020
$$\mathbb{Z}_p\mathbb{Z}_{p^s}$$-additive cyclic codes are asymptotically good. Zbl 1434.94094
Yao, Ting; Zhu, Shixin
2020
On the minimum weights of binary linear complementary dual codes. Zbl 1434.94081
Araya, Makoto; Harada, Masaaki
2020
Circulant weighing matrices. Zbl 1228.05093
Arasu, Krishnasamy Thiru; Gutman, Alex J.
2010
Unbiased complex Hadamard matrices and bases. Zbl 1225.05054
Best, Darcy; Kharaghani, Hadi
2010
On the density of the set of known Hadamard orders. Zbl 1198.94090
De Launey, Warwick; Gordon, Daniel M.
2010
Some REALLY beautiful Hadamard matrices. Zbl 1198.05022
Dillon, J. F.
2010
A matrix approach for FCSR automata. Zbl 1251.94019
Arnault, François; Berger, Thierry P.; Pousse, Benjamin
2011
Quadratic forms of codimension 2 over certain finite fields of even characteristic. Zbl 1235.11060
Özbudak, Ferruh; Saygı, Elif; Saygı, Zülfükar
2011
Towards a spectral approach for the design of self-synchronizing stream ciphers. Zbl 1235.34158
Parriaux, Jérémy; Guillot, Philippe; Millérioux, Gilles
2011
A character theoretic approach to planar functions. Zbl 1282.12004
Pott, Alexander; Zhou, Yue
2011
A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation. Zbl 1235.94050
Pasalic, Enes
2012
More classes of permutation trinomials with Niho exponents. Zbl 1409.05005
Deng, Huali; Zheng, Dabin
2019
The 2-adic complexity of a class of binary sequences with optimal autocorrelation magnitude. Zbl 1453.94053
Sun, Yuhua; Yan, Tongjiang; Chen, Zhixiong; Wang, Lianhai
2020
Bent functions linear on elements of some classical spreads and presemifields spreads. Zbl 1354.51015
Abdukhalikov, Kanat; Mesnager, Sihem
2017
A construction of codes with linearity from two linear codes. Zbl 1380.94145
Li, Chengju; Bae, Sunghan; Yan, Haode
2017
A kind of three-weight linear codes. Zbl 1366.94620
Wang, Qiuyan; Ding, Kelan; Lin, Dongdai; Xue, Rui
2017
New open problems related to old conjectures by Helleseth. Zbl 1358.11132
Katz, Daniel J.; Langevin, Philippe
2016
Periodic state-space representations of periodic convolutional codes. Zbl 1454.94132
Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, Paula
2019
On self-dual and LCD quasi-twisted codes of index two over a special chain ring. Zbl 1459.94170
Qian, Liqin; Shi, Minjia; Solé, Patrick
2019
A new class of permutation trinomials constructed from Niho exponents. Zbl 1419.11126
Bai, Tao; Xia, Yongbo
2018
Cyclic codes from the second class two-prime Whiteman’s generalized cyclotomic sequence with order 6. Zbl 1409.94932
Kewat, Pramod Kumar; Kumari, Priti
2017
Generalized methods to construct low-hit-zone frequency-hopping sequence sets and optimal constructions. Zbl 1369.94515
Zhou, Limengnan; Peng, Daiyuan; Liang, Hongbin; Wang, Changyuan; Han, Hongyu
2017
Masking and leakage-resilient primitives: one, the other(s) or both? Zbl 1365.94401
Belaïd, Sonia; Grosso, Vincent; Standaert, François-Xavier
2015
New constructions of entanglement-assisted quantum codes. Zbl 1490.81041
Allahmadi, A.; AlKenani, A.; Hijazi, R.; Muthana, N.; Özbudak, F.; Solé, P.
2022
Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring. Zbl 1496.94084
Islam, Habibul; Prakash, Om
2022
On $$(-1)$$-differential uniformity of ternary APN power functions. Zbl 1496.14022
Yan, Haode
2022
Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class. Zbl 1484.05010
Kudin, S.; Pasalic, E.; Cepak, N.; Zhang, F.
2022
LCD and ACD codes over a noncommutative non-unital ring with four elements. Zbl 1493.94056
Shi, Minjia; Li, Shitao; Kim, Jon-Lark; Solé, Patrick
2022
A survey on $$p$$-ary and generalized bent functions. Zbl 1497.94223
Meidl, Wilfried
2022
On a conjecture on APN permutations. Zbl 1492.94063
Bartoli, Daniele; Timpanella, Marco
2022
Linear complexity of some sequences derived from hyperelliptic curves of genus 2. Zbl 1484.11141
Anupindi, Vishnupriya; Mérai, László
2022
New Galois hulls of GRS codes and application to EAQECCs. Zbl 07513136
Fang, Xiaolei; Jin, Renjie; Luo, Jinquan; Ma, Wen
2022
New constant dimension subspace codes from parallel linkage construction and multilevel construction. Zbl 1496.94085
Niu, Yongfeng; Yue, Qin; Huang, Daitao
2022
Deciding EA-equivalence via invariants. Zbl 1495.94170
Kaleyski, Nikolay
2022
New constructions of self-dual generalized Reed-Solomon codes. Zbl 07541003
Fang, Weijun; Zhang, Jun; Xia, Shu-Tao; Fu, Fang-Wei
2022
Low $$c$$-differential uniformity for functions modified on subfields. Zbl 07614798
Bartoli, Daniele; Calderini, Marco; Riera, Constanza; Stănică, Pantelimon
2022
The $$c$$-differential behavior of the inverse function under the EA-equivalence. Zbl 1469.94260
Stănică, Pantelimon; Geary, Aaron
2021
On constructions of weightwise perfectly balanced Boolean functions. Zbl 1492.94254
Mesnager, Sihem; Su, Sihong
2021
Linear codes with one-dimensional hull associated with Gaussian sums. Zbl 1469.94140
Qian, Liqin; Cao, Xiwang; Mesnager, Sihem
2021
$$( \sigma, \delta )$$-skew quasi-cyclic codes over the ring $$\mathbb{Z}_4+u\mathbb{Z}_4$$. Zbl 1469.94154
Ma, Fanghui; Gao, Jian; Li, Juan; Fu, Fang-Wei
2021
On Euclidean hulls of MDS codes. Zbl 1469.94132
Fang, Xiaolei; Liu, Meiqing; Luo, Jinquan
2021
Computing the 2-adic complexity of two classes of Ding-Helleseth generalized cyclotomic sequences of periods of twin prime products. Zbl 1468.94388
Yan, Ming; Yan, Tongjiang; Li, Yu
2021
On symbol-pair weight distribution of MDS codes and simplex codes over finite fields. Zbl 1469.94136
Ma, Junru; Luo, Jinquan
2021
On the fast algebraic immunity of threshold functions. Zbl 1492.94252
Méaux, Pierrick
2021
Characters, Weil sums and $$c$$-differential uniformity with an application to the perturbed Gold function. Zbl 1492.11168
Stănică, Pantelimon; Riera, Constanza; Tkachenko, Anton
2021
Self-dual codes over $$\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)$$. Zbl 1469.94123
Aksoy, Refia; Çalışkan, Fatma
2021
Further constructions of cyclic subspace codes. Zbl 1469.94160
Zhang, He; Cao, Xiwang
2021
On approximate real mutually unbiased bases in square dimension. Zbl 1468.81031
Kumar, Ajeet; Maitra, Subhamoy; Mukherjee, Chandra Sekhar
2021
An inductive construction of minimal codes. Zbl 1496.94080
Bartoli, Daniele; Bonini, Matteo; Güneş, Burçin
2021
Hashing to elliptic curves of $$j$$-invariant 1728. Zbl 1487.14033
Koshelev, Dmitrii
2021
How to fool a black box machine learning based side-channel security evaluation. Zbl 1490.68192
Van Ouytsel, Charles-Henry Bertrand; Bronchain, Olivier; Cassiers, Gaëtan; Standaert, François-Xavier
2021
Several classes of minimal binary linear codes violating the Ashikhmin-Barg bound. Zbl 1492.94205
Pasalic, Enes; Rodríguez, René; Zhang, Fengrong; Wei, Yongzhuang
2021
Quantum synchronizable codes from the Whiteman’s generalized cyclotomy. Zbl 1489.81018
Shi, Xiaoping; Yue, Qin; Huang, Xinmei
2021
Maximum order complexity of the sum of digits function in Zeckendorf base and polynomial subsequences. Zbl 1486.11010
Jamet, Damien; Popoli, Pierre; Stoll, Thomas
2021
Cryptanalysis of the class of maximum period Galois NLFSR-based stream ciphers. Zbl 1485.94047
Yao, Ge; Parampalli, Udaya
2021
The linear codes of $$t$$-designs held in the Reed-Muller and simplex codes. Zbl 1494.94051
Ding, Cunsheng; Tang, Chunming
2021
On self-dual and LCD double circulant and double negacirculant codes over $$\mathbb{F}_q+u\mathbb{F}_q$$. Zbl 1446.94195
Shi, Minjia; Zhu, Hongwei; Qian, Liqin; Sok, Lin; Solé, Patrick
2020
Recent results and problems on constructions of linear codes from cryptographic functions. Zbl 1469.94135
Li, Nian; Mesnager, Sihem
2020
Quadruple bordered constructions of self-dual codes from group rings. Zbl 1446.94177
Dougherty, Steven T.; Gildea, Joseph; Kaya, Abidin
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
2020
On the boomerang uniformity of some permutation polynomials. Zbl 1469.94248
Calderini, Marco; Villa, Irene
2020
New constructions of involutions over finite fields. Zbl 1459.11223
Niu, Tailin; Li, Kangquan; Qu, Longjiang; Wang, Qiang
2020
On decoding additive generalized twisted Gabidulin codes. Zbl 1469.94162
Kadir, Wrya K.; Li, Chunlei
2020
$$\mathbb{Z}_p\mathbb{Z}_{p^s}$$-additive cyclic codes are asymptotically good. Zbl 1434.94094
Yao, Ting; Zhu, Shixin
2020
On the minimum weights of binary linear complementary dual codes. Zbl 1434.94081
Araya, Makoto; Harada, Masaaki
2020
The 2-adic complexity of a class of binary sequences with optimal autocorrelation magnitude. Zbl 1453.94053
Sun, Yuhua; Yan, Tongjiang; Chen, Zhixiong; Wang, Lianhai
2020
Vectorial bent functions in odd characteristic and their components. Zbl 1468.94965
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pott, Alexander
2020
On relations between CCZ- and EA-equivalences. Zbl 1446.94110
Budaghyan, L.; Calderini, Marco; Villa, I.
2020
One-weight and two-weight $$\mathbb{Z}_2\mathbb{Z}_2[u,v]$$-additive codes. Zbl 1478.94130
Shi, Minjia; Wang, Chenchen; Wu, Rongsheng; Hu, Yu; Chang, Yaoqiang
2020
Some new bounds on LCD codes over finite fields. Zbl 1473.94142
Pang, Binbin; Zhu, Shixin; Kai, Xiaoshan
2020
On the EA-classes of known APN functions in small dimensions. Zbl 1468.94394
Calderini, Marco
2020
On the Menezes-Teske-Weng conjecture. Zbl 1439.11296
Mesnager, Sihem; Kim, Kwang Ho; Choe, Junyop; Tang, Chunming
2020
Complete classification for simple root cyclic codes over the local ring $$\mathbb{Z}_4[v]/\langle v^2+2v\rangle$$. Zbl 1434.94096
Cao, Yuan; Cao, Yonglin
2020
Designed distances and parameters of new LCD BCH codes over finite fields. Zbl 1434.94100
Li, Fengwei; Yue, Qin; Wu, Yansheng
2020
Differential uniformity of the composition of two functions. Zbl 1446.94158
Shuai, Li; Wang, Lina; Miao, Li; Zhou, Xianwei
2020
On the $$N$$th maximum order complexity and the expansion complexity of a Rudin-Shapiro-like sequence. Zbl 1478.11023
Sun, Zhimin; Zeng, Xiangyong; Lin, Da
2020
About the linear complexity of quaternary sequences with even length. Zbl 1453.94054
Zhao, Lu
2020
Almost supplementary difference sets and quaternary sequences with optimal autocorrelation. Zbl 1443.05024
Armario, J. A.; Flannery, D. L.
2020
Double bordered constructions of self-dual codes from group rings over Frobenius rings. Zbl 1454.94126
Gildea, Joe; Taylor, Rhian; Kaya, Abidin; Tylyshchak, A.
2020
The group of automorphisms of the set of self-dual bent functions. Zbl 1468.94970
Kutsenko, Aleksandr
2020
Permutation polynomials and factorization. Zbl 1468.11236
Kalaycı, Tekgül; Stichtenoth, Henning; Topuzoğlu, Alev
2020
Combinatorial $$t$$-designs from special functions. Zbl 1465.05020
Ding, Cunsheng; Tang, Chunming
2020
Root-Hadamard transforms and complementary sequences. Zbl 1469.94256
Medina, Luis A.; Parker, Matthew G.; Riera, Constanza; Stănică, Pantelimon
2020
A note on the distinctness of some Kloosterman sums. Zbl 1469.11469
Borissov, Yuri; Borissov, Lyubomir
2020
Shifted plateaued functions and their differential properties. Zbl 1469.94246
Anbar, Nurdagül; Kaşıkçı, Canan; Meidl, Wilfried; Topuzoğlu, Alev
2020
4-uniform permutations with null nonlinearity. Zbl 1469.94247
Beierle, Christof; Leander, Gregor
2020
Several new infinite families of bent functions via second order derivatives. Zbl 1468.94979
Zheng, Lijing; Peng, Jie; Kan, Haibin; Li, Yanjun
2020
Two constructions of asymptotically optimal codebooks via the trace functions. Zbl 1469.94174
Wu, Xia; Lu, Wei; Cao, Xiwang
2020
The primitive idempotents of irreducible constacyclic codes and LCD cyclic codes. Zbl 1446.94196
Shi, Zexia; Fu, Fang-Wei
2020
A new lower bound on the second-order nonlinearity of a class of monomial bent functions. Zbl 1446.94218
Tang, Deng; Yan, Haode; Zhou, Zhengchun; Zhang, Xiaosong
2020
On complementary dual multinegacirculant codes. Zbl 1446.94174
Alahmadi, Adel; Güneri, Cem; Özkaya, Buket; Shoaib, Hatoon; Solé, Patrick
2020
Integer codes correcting burst asymmetric within a byte and double asymmetric errors. [Integer codes correcting burst asymmetric errors within a byte and double asymmetric errors]. Zbl 1446.94197
Radonjic, Aleksandar; Vujicic, Vladimir
2020
A note on the minimal binary linear code. Zbl 1446.94189
Tang, Deng; Li, Xia
2020
Large families of sequences for CDMA, frequency hopping, and UWB. Zbl 1458.94203
Gómez-Pérez, Domingo; Gómez, Ana I.; Tirkel, Andrew
2020
Decimated $$m$$-sequences families with optimal partial Hamming correlation. Zbl 1458.94204
Han, Hongyu; Zhang, Sheng; Zhou, Limengnan; Liu, Xing
2020
A direct construction of primitive formally dual pairs having subsets with unequal sizes. Zbl 1443.05032
Li, Shuxing; Pott, Alexander
2020
Binary and ternary sequences with a few cross correlations. Zbl 1458.94205
Wu, Yansheng; Yue, Qin; Shi, Xueying; Zhu, Xiaomeng
2020
Three deterministic constructions of compressed sensing matrices with low coherence. Zbl 1458.94079
Cao, Xiwang; Luo, Gaojun; Xu, Guangkui
2020
A family of distance-optimal minimal linear codes with flexible parameters. Zbl 1462.94067
Li, Xia; Fan, Cuiling; Du, Xiaoni
2020
On non-uniform Flower codes. Zbl 1442.68049
Benerjee, Krishna Gopal; Gupta, Manish K.
2020
Notes on generalized Hamming weights of some classes of binary codes. Zbl 1457.94235
Liu, Zihui; Wang, Jinliang
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
2020
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
2019
Quantum codes over $$F_{p}$$ from cyclic codes over $$F_{p}[u, v]/\langle u^2 - 1$$, $$v^3 - v, uv - vu\rangle$$. Zbl 1409.94920
Ashraf, Mohammad; Mohammad, Ghulam
2019
A note on the constructions of MDS self-dual codes. Zbl 1409.94929
Yan, Haode
2019
A survey on the applications of Niho exponents. Zbl 1412.12001
Li, Nian; Zeng, Xiangyong
2019
On a class of permutation trinomials in characteristic 2. Zbl 1446.11206
Hou, Xiang-Dong
2019
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
2019
Binary linear complementary dual codes. Zbl 1459.94166
Harada, Masaaki; Saito, Ken
2019
Hadamard partitioned difference families and their descendants. Zbl 1415.05024
Buratti, Marco
2019
A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity. Zbl 1446.94160
Tang, Deng; Liu, Jian
2019
A class of permutation trinomials over finite fields of odd characteristic. Zbl 1415.05006
Tu, Ziran; Zeng, Xiangyong
2019
A lower bound on the size of the largest metrically regular subset of the Boolean cube. Zbl 1456.94102
Oblaukhov, Alexey
2019
More classes of permutation trinomials with Niho exponents. Zbl 1409.05005
Deng, Huali; Zheng, Dabin
2019
Periodic state-space representations of periodic convolutional codes. Zbl 1454.94132
Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, Paula
2019
On self-dual and LCD quasi-twisted codes of index two over a special chain ring. Zbl 1459.94170
Qian, Liqin; Shi, Minjia; Solé, Patrick
2019
Some new balanced and almost balanced quaternary sequences with low autocorrelation. Zbl 1409.05037
Michel, Jerod; Wang, Qi
2019
Compositional inverses of permutation polynomials of the form $$x^rh(x^s)$$ over finite fields. Zbl 1409.11125
Li, Kangquan; Qu, Longjiang; Wang, Qiang
2019
A lower bound on the 2-adic complexity of the modified Jacobi sequence. Zbl 1409.94856
Sun, Yuhua; Wang, Qiang; Yan, Tongjiang
2019
Decomposition of permutations in a finite field. Zbl 1412.94196
Nikova, Svetla; Nikov, Ventzislav; Rijmen, Vincent
2019
If a generalised butterfly is APN then it operates on 6 bits. Zbl 1434.94120
Canteaut, Anne; Perrin, Léo; Tian, Shizhu
2019
Changing APN functions at two points. Zbl 1434.94071
Kaleyski, Nikolay S.
2019
Generalized bent functions into $$\mathbb{Z}_{p^k}$$ from the partial spread and the Maiorana-McFarland class. Zbl 1446.11213
Meidl, Wilfried; Pott, Alexander
2019
...and 248 more Documents
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### Cited by 1,310 Authors

 29 Mesnager, Sihem 28 Cao, Xiwang 24 Zeng, Xiangyong 22 Stănică, Pantelimon 21 Solé, Patrick 19 Shi, Minjia 19 Yue, Qin 16 Meidl, Wilfried 16 Qu, Longjiang 15 Bartoli, Daniele 15 Fu, Fangwei 15 Prakash, Om 14 Islam, Habibul 14 Li, Nian 14 Özbudak, Ferruh 13 Carlet, Claude 13 Tang, Chunming 13 Zhu, Shixin 12 Pasalic, Enes 11 Chen, Zhixiong 11 Cusick, Thomas W. 11 Lin, Dongdai 11 Luo, Gaojun 11 Winterhof, Arne 10 Dinh, Hai Quang 10 Gildea, Joe 10 Heng, Ziling 10 Kim, Kwang Ho 10 Medina, Luis A. 9 Helleseth, Tor 9 Korban, Adrian 9 Luo, Jinquan 9 Wu, Yansheng 9 Zha, Zhengbang 9 Zheng, Dabin 8 Anbar, Nurdagül 8 Calderini, Marco 8 Castro, Francis Noel 8 Harada, Masaaki 8 Hu, Lei 8 Li, Chao 8 Li, Chunlei 8 Li, Kangquan 8 Peng, Jie 8 Sarkar, Santanu 8 Sok, Lin 8 Tan, Chik How 8 Xu, Guangkui 8 Xu, Shanding 7 Budaghyan, Lilya 7 Edemskiĭ, Vladimir Anatol’evich 7 Gangopadhyay, Sugata 7 Gao, Jian 7 Jitman, Somphong 7 Kaya, Abidin 7 Leander, Gregor 7 Li, Xia 7 Liang, Miao 7 Pinzani, Renzo 7 Riera, Constanza 7 Upadhyay, Ashish Kumar 7 Xiang, Can 7 Xu, Bangteng 6 Bandi, Ramakrishna 6 Bernini, Antonio 6 Bilotta, Stefano 6 Feng, Tao 6 Hou, Xiang-Dong 6 Hudry, Olivier 6 Lobstein, Antoine-Christophe 6 Ostafe, Alina 6 Perrin, Léo 6 Qian, Liqin 6 Sălăgean, Ana Maria 6 Su, Sihong 6 Sun, Yuhua 6 Tang, Deng 6 Tu, Ziran 6 Wang, Qiang (Steven) 6 Wang, Xiaoqiang 6 Wei, Yongzhuang 6 Yan, Tongjiang 6 Yang, Shudi 6 Zhang, Fengrong 5 Abdukhalikov, Kanat S. 5 Araya, Makoto 5 Ashraf, Mohammad 5 Bag, Tushar 5 Barcucci, Elena 5 Cao, Yonglin 5 Cao, Yuan 5 Carvalho, Cícero F. 5 Ding, Cunsheng 5 Dougherty, Steven T. 5 Du, Beiliang 5 Egan, Ronan 5 Fang, Xiaolei 5 Gomez-Perez, Domingo 5 Gong, Guang 5 Hodžić, Samir ...and 1,210 more Authors
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### Cited in 129 Journals

 180 Cryptography and Communications 157 Designs, Codes and Cryptography 111 Finite Fields and their Applications 50 Advances in Mathematics of Communications 49 Discrete Mathematics 34 Discrete Applied Mathematics 27 Applicable Algebra in Engineering, Communication and Computing 26 Journal of Applied Mathematics and Computing 18 Quantum Information Processing 14 Linear Algebra and its Applications 13 Matematicheskie Voprosy Kriptografii 11 Journal of Cryptology 11 Journal of Algebraic Combinatorics 9 International Journal of Theoretical Physics 9 Journal of Mathematical Cryptology 8 Journal of Discrete Mathematical Sciences & Cryptography 7 Theoretical Computer Science 7 International Journal of Foundations of Computer Science 7 International Journal of Computer Mathematics 7 Journal of Systems Science and Complexity 7 Discrete Mathematics, Algorithms and Applications 5 Information Processing Letters 5 Applied Mathematics and Computation 5 Journal of Combinatorial Theory. Series A 5 Journal of Number Theory 5 Computational and Applied Mathematics 5 Prikladnaya Diskretnaya Matematika 4 Information Sciences 4 Journal of Pure and Applied Algebra 4 Journal of Statistical Planning and Inference 4 Journal of Symbolic Computation 4 The Electronic Journal of Combinatorics 4 Journal of Algebra and its Applications 4 Science China. Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Acta Arithmetica 3 European Journal of Combinatorics 3 Bulletin of the Korean Mathematical Society 3 Turkish Journal of Mathematics 3 Complexity 3 Mathematical Problems in Engineering 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Asian-European Journal of Mathematics 3 Science China. Information Sciences 3 Journal of Mathematics 3 Special Matrices 3 Journal of Algebra, Combinatorics, Discrete Structures and Applications 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Problems of Information Transmission 2 Mathematics of Computation 2 Journal of Algebra 2 Note di Matematica 2 Graphs and Combinatorics 2 SIAM Journal on Discrete Mathematics 2 The Australasian Journal of Combinatorics 2 Filomat 2 Annals of Combinatorics 2 International Journal of Wavelets, Multiresolution and Information Processing 2 International Journal of Number Theory 2 Mathematics in Computer Science 2 Uniform Distribution Theory 2 RAIRO. Theoretical Informatics and Applications 2 Arabian Journal of Mathematics 2 The Art of Discrete and Applied Mathematics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Psychometrika 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Programming and Computer Software 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Cryptologia 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Information and Computation 1 MCSS. Mathematics of Control, Signals, and Systems 1 MSCS. Mathematical Structures in Computer Science 1 Discrete Mathematics and Applications 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Combinatorics, Probability and Computing 1 Statistical Papers 1 Annales Mathématiques Blaise Pascal 1 Journal of Combinatorial Designs 1 Annals of Mathematics and Artificial Intelligence ...and 29 more Journals
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### Cited in 35 Fields

 798 Information and communication theory, circuits (94-XX) 409 Number theory (11-XX) 178 Combinatorics (05-XX) 72 Order, lattices, ordered algebraic structures (06-XX) 64 Computer science (68-XX) 52 Quantum theory (81-XX) 44 Field theory and polynomials (12-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 37 Algebraic geometry (14-XX) 31 Geometry (51-XX) 26 Group theory and generalizations (20-XX) 17 Numerical analysis (65-XX) 12 Associative rings and algebras (16-XX) 11 Statistics (62-XX) 10 Commutative algebra (13-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Probability theory and stochastic processes (60-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)