# zbMATH — the first resource for mathematics

## 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: 462 Publications (since 2009) References Indexed: 448 Publications with 10,599 References.
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#### Authors

 16 Helleseth, Tor 14 Mesnager, Sihem 13 Cao, Xiwang 10 Fu, Fangwei 8 Budaghyan, Lilya 8 Stănică, Pantelimon 8 Yue, Qin 7 Gong, Guang 7 Luo, Gaojun 7 Meidl, Wilfried 7 Wang, Qiang (Steven) 6 Ding, Cunsheng 6 Lin, Dongdai 6 Özbudak, Ferruh 6 Sarkar, Palash 6 Solé, Patrick 6 Yan, Tongjiang 6 Zhou, Zhengchun 5 Carlet, Claude 5 Han, Hongyu 5 Li, Chunlei 5 Li, Nian 5 Maitra, Subhamoy 5 Parker, Matthew Geoffrey 5 Pasalic, Enes 5 Peralta, René C. 5 Shi, Minjia 5 Stinson, Douglas Robert 5 Tang, Chunming 5 Winterhof, Arne 5 Xu, Guangkui 5 Xu, Shanding 5 Zeng, Xiangyong 5 Zhu, Shixin 4 Cusick, Thomas W. 4 Gao, Jian 4 Klapper, Andrew M. 4 Nikova, Svetla Jordanova 4 Paterson, Maura Beth 4 Peng, Daiyuan 4 Pott, Alexander 4 Qi, Wenfeng 4 Qu, Longjiang 4 Rijmen, Vincent 4 Sharma, Anuradha 4 Sönmez Turan, Meltem 4 Tang, Deng 4 Vaudenay, Serge 4 Wang, Huaxiong 4 Xiang, Can 4 Zhou, Limengnan 3 Aagaard, Mark D. 3 Anbar, Nurdagül 3 Calderini, Marco 3 Çalık, Çağdaş 3 Cao, Yuan 3 Chen, Zhixiong 3 Cheng, Minquan 3 Feng, Keqin 3 Gangopadhyay, Sugata 3 Gupta, Manish Kumar 3 Harada, Masaaki 3 Hell, Martin 3 Hodžić, Samir 3 Honkala, Iiro S. 3 Hu, Zhi 3 Hudry, Olivier 3 Jiang, Jing 3 Jiang, Yupeng 3 Jolly, Nathan 3 Kaşıkcı, Canan 3 Kholosha, Alexander 3 Kim, Kwang Ho 3 Li, Chengju 3 Li, Kangquan 3 Ling, San 3 Liu, Xing 3 Liu, Zihui 3 Lobstein, Antoine-Christophe 3 Medina, Luis A. 3 Meier, Willi 3 Nikov, Ventzislav 3 Panario, Daniel 3 Paul, Goutam 3 Pieprzyk, Josef P. 3 Qian, Liqin 3 Radonjic, Aleksandar 3 Riera, Constanza 3 Sarkar, Santanu 3 Sun, Yuhua 3 Tang, Xiaohu 3 Topuzoǧlu, Alev 3 Villa, Irene 3 Vujicic, Vladimir 3 Wang, Qiuyan 3 Wu, Gaofei 3 Wu, Yansheng 3 Yan, Haode 3 Youssef, Amr M. 3 Zajac, Pavol ...and 599 more Authors
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#### Fields

 415 Information and communication theory, circuits (94-XX) 171 Number theory (11-XX) 56 Combinatorics (05-XX) 42 Order, lattices, ordered algebraic structures (06-XX) 39 Computer science (68-XX) 14 Algebraic geometry (14-XX) 11 General and overarching topics; collections (00-XX) 11 Field theory and polynomials (12-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 9 Numerical analysis (65-XX) 8 Quantum theory (81-XX) 5 Group theory and generalizations (20-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

263 Publications have been cited 960 times in 722 Documents Cited by Year
A few more quadratic APN functions. Zbl 1282.11162
Bracken, Carl; Byrne, Eimear; Markin, Nadya; McGuire, Gary
2011
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
2017
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
2019
Linear codes with few weights from weakly regular bent functions based on a generic construction. Zbl 1351.94079
Mesnager, Sihem
2017
Hadamard matrices and their applications: progress 2007–2010. Zbl 1198.15001
2010
$$X^{2^l+1}+x+a$$ 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
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
Some bounds on binary LCD codes. Zbl 1391.94844
Galvez, Lucky; Kim, Jon-Lark; Lee, Nari; Roe, Young Gun; Won, Byung-Sun
2018
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
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
Weights of Boolean cubic monomial rotation symmetric functions. Zbl 1282.94109
Bileschi, Maxwell L.; Cusick, Thomas W.; Padgett, Daniel
2012
Threshold implementations of small S-boxes. Zbl 1365.94403
Bilgin, Begül; Nikova, Svetla; Nikov, Ventzislav; Rijmen, Vincent; Tokareva, Natalia; Vitkup, Valeriya
2015
Binary linear codes with two or three weights from Niho exponents. Zbl 1412.94234
Luo, Gaojun; Cao, Xiwang; Xu, Shanding; Mi, Jiafu
2018
New differentially 4-uniform permutations by modifying the inverse function on subfields. Zbl 1366.94526
Peng, Jie; Tan, Chik How
2017
Permutation polynomials EA-equivalent to the inverse function over $$\mathrm{GF}(2^n)$$. Zbl 1251.94032
Li, Yongqiang; Wang, Mingsheng
2011
The second weight of generalized Reed-Muller codes in most cases. Zbl 1192.94107
Rolland, Robert
2010
Asymptotic enumeration of correlation-immune Boolean functions. Zbl 1218.05016
Canfield, E. Rodney; Gao, Zhicheng; Greenhill, Catherine; McKay, Brendan D.; Robinson, Robert W.
2010
A survey on the applications of Niho exponents. Zbl 1412.12001
Li, Nian; Zeng, Xiangyong
2019
Further constructions of infinite families of bent functions from new permutations and their duals. Zbl 1338.94119
Mesnager, Sihem
2016
Linear codes from a generic construction. Zbl 1372.94458
Xiang, Can
2016
Repeated-root constacyclic codes of length $$\ell^{t}p^{s}$$ and their dual codes. Zbl 1344.94095
2015
Pseudorandom numbers and hash functions from iterations of multivariate polynomials. Zbl 1185.11049
Ostafe, Alina; Shparlinski, Igor E.
2010
Reversed genetic algorithms for generation of bijective s-boxes with good cryptographic properties. Zbl 1338.94074
Ivanov, Georgi; Nikolov, Nikolay; Nikova, Svetla
2016
A class of three-weight linear codes and their complete weight enumerators. Zbl 1416.94069
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2017
Cryptographically significant MDS matrices based on circulant and circulant-like matrices for lightweight applications. Zbl 1365.94432
Gupta, Kishan; Ray, Indranil
2015
Generalized bent functions – some general construction methods and related necessary and sufficient conditions. Zbl 1343.94064
Hodžić, S.; Pasalic, E.
2015
Equivalence classes for cubic rotation symmetric functions. Zbl 1335.94112
Brown, Alyssa; Cusick, Thomas W.
2013
Second weight codewords of generalized Reed-Muller codes. Zbl 1285.94121
Leducq, Elodie
2013
On a class of permutation trinomials in characteristic 2. Zbl 1446.11206
Hou, Xiang-Dong
2019
Combinatorial bounds and characterizations of splitting authentication codes. Zbl 1198.94100
Huber, Michael
2010
Construction of quaternary sequences of length $$pq$$ with low autocorrelation. Zbl 1235.94044
Yang, Zheng; Ke, Pinhui
2011
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
A note on the constructions of MDS self-dual codes. Zbl 1409.94929
Yan, Haode
2019
Binary linear complementary dual codes. Zbl 1459.94166
2019
Linear complexity of Ding-Helleseth sequences of order 2 over $$\mathrm{GF}(l)$$. Zbl 1344.94027
Wang, Qiuyan; Jiang, Yupeng; Lin, Dongdai
2016
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
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
A simple suboptimal construction of cross-bifix-free codes. Zbl 1290.94027
Bajic, Dragana; Loncar-Turukalo, Tatjana
2014
A Fourier-analytic approach to counting partial Hadamard matrices. Zbl 1225.05056
De Launey, Warwick; Levin, David A.
2010
Boolean functions derived from Fermat quotients. Zbl 1235.06014
Aly, Hassan; Winterhof, Arne
2011
Hadamard partitioned difference families and their descendants. Zbl 1415.05024
Buratti, Marco
2019
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 solving LPN using BKW and variants, Implementation and analysis. Zbl 1338.94068
Bogos, Sonia; Tramèr, Florian; Vaudenay, Serge
2016
Optimal $$p$$-ary cyclic codes with minimum distance four from monomials. Zbl 1372.94467
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2016
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
Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855
Mérai, László; Niederreiter, Harald; Winterhof, Arne
2017
An overview of distinguishing attacks on stream ciphers. Zbl 1178.94189
Hell, Martin; Johansson, Thomas; Brynielsson, Lennart
2009
A simple stream cipher with proven properties. Zbl 1282.94065
Si, Wenpei; Ding, Cunsheng
2012
The Walsh transform of a class of monomial functions and cyclic codes. Zbl 1365.94673
Li, Chengju; Yue, Qin
2015
On the nonlinearity of maximum-length NFSR feedbacks. Zbl 1285.94036
Turan, Meltem Sönmez
2012
Quadruple bordered constructions of self-dual codes from group rings. Zbl 1446.94177
Dougherty, Steven T.; Gildea, Joseph; Kaya, Abidin
2020
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
2019
Circulant weighing matrices. Zbl 1228.05093
Arasu, Krishnasamy Thiru; Gutman, Alex J.
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
Crosscorrelation of $$m$$-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110
Helleseth, Tor; Kholosha, Alexander
2011
A character theoretic approach to planar functions. Zbl 1282.12004
Pott, Alexander; Zhou, Yue
2011
Non abelian bent functions. Zbl 1282.11165
Poinsot, Laurent
2012
Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes. Zbl 1396.81072
Shi, Xueying; Yue, Qin; Chang, Yaotsu
2018
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
2019
Good integers and some applications in coding theory. Zbl 1382.94176
Jitman, Somphong
2018
Bent functions linear on elements of some classical spreads and presemifields spreads. Zbl 1354.51015
Abdukhalikov, Kanat; Mesnager, Sihem
2017
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 kind of three-weight linear codes. Zbl 1366.94620
Wang, Qiuyan; Ding, Kelan; Lin, Dongdai; Xue, Rui
2017
Cyclic codes of odd length over $$\mathbb{Z}_4 [u]/u^k$$. Zbl 1409.94931
Cao, Yuan; Li, Qingguo
2017
A complementary construction using mutually unbiased bases. Zbl 1281.42030
Wu, Gaofei; Parker, Matthew Geoffrey
2014
Cryptanalysis of WG-7: a lightweight stream cipher. Zbl 1285.94087
Orumiehchiha, Mohammad Ali; Pieprzyk, Josef; Steinfeld, Ron
2012
A simple combinatorial treatment of constructions and threshold gaps of ramp schemes. Zbl 1283.94078
Paterson, Maura B.; Stinson, Douglas R.
2013
Prefix partitioned Gray codes for particular cross-bifix-free sets. Zbl 1297.68189
Bernini, Antonio; Bilotta, Stefano; Pinzani, Renzo; Sabri, Ahmad; Vajnovszki, Vincent
2014
Unbiased complex Hadamard matrices and bases. Zbl 1225.05054
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
Towards a spectral approach for the design of self-synchronizing stream ciphers. Zbl 1235.34158
Parriaux, Jérémy; Guillot, Philippe; Millérioux, Gilles
2011
A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation. Zbl 1235.94050
Pasalic, Enes
2012
Third-order nonlinearities of a subclass of Kasami functions. Zbl 1192.94096
2010
A new class of permutation trinomials constructed from Niho exponents. Zbl 1419.11126
Bai, Tao; Xia, Yongbo
2018
More classes of permutation trinomials with Niho exponents. Zbl 1409.05005
Deng, Huali; Zheng, Dabin
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
Classification and construction of quaternary self-dual bent functions. Zbl 1412.94257
Sok, Lin; Shi, MinJia; Solé, Patrick
2018
The weight distribution of a class of two-weight linear codes derived from Kloosterman sums. Zbl 1412.94236
Tan, Pan; Zhou, Zhengchun; Tang, Deng; Helleseth, Tor
2018
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
A lower bound on the size of the largest metrically regular subset of the Boolean cube. Zbl 1456.94102
Oblaukhov, Alexey
2019
Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341
Carlet, Claude; Guilley, Sylvain
2018
On the ensemble of optimal identifying codes in a twin-free graph. Zbl 1333.05222
Honkala, Iiro; Hudry, Olivier; Lobstein, Antoine
2016
On constacyclic codes over finite fields. Zbl 1344.94097
2016
A construction of codes with linearity from two linear codes. Zbl 1380.94145
Li, Chengju; Bae, Sunghan; Yan, Haode
2017
A class of linear codes with a few weights. Zbl 1416.94067
Xiang, Can; Tang, Chunming; Feng, Keqin
2017
$$(1-2u^{3})$$-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 from the second class two-prime Whiteman’s generalized cyclotomic sequence with order 6. Zbl 1409.94932
Kewat, Pramod Kumar; Kumari, Priti
2017
Joint linear complexity of multisequences consisting of linear recurring sequences. Zbl 1178.94176
Fu, Fang-Wei; Niederreiter, Harald; Özbudak, Ferruh
2009
Masking and leakage-resilient primitives: one, the other(s) or both? Zbl 1365.94401
Belaïd, Sonia; Grosso, Vincent; Standaert, François-Xavier
2015
The linear complexity of balanced quaternary sequences with optimal autocorrelation value. Zbl 1365.94377
2015
Multiplicative complexity of bijective $$4\times 4$$ $$S$$-boxes. Zbl 1294.94087
Zajac, Pavol; Jókay, Matúš
2014
High order differential attacks on stream ciphers. Zbl 1285.94075
Knellwolf, Simon; Meier, Willi
2012
Comments on “A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation”. Zbl 1271.94027
Wang, Wenhao; Liu, Meicheng; Zhang, Yin
2013
The $$c$$-differential behavior of the inverse function under the EA-equivalence. Zbl 1469.94260
Stănică, Pantelimon; Geary, Aaron
2021
Quadruple bordered constructions of self-dual codes from group rings. Zbl 1446.94177
Dougherty, Steven T.; Gildea, Joseph; Kaya, Abidin
2020
New constructions of involutions over finite fields. Zbl 1459.11223
Niu, Tailin; Li, Kangquan; Qu, Longjiang; Wang, Qiang
2020
On the minimum weights of binary linear complementary dual codes. Zbl 1434.94081
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
On the Menezes-Teske-Weng conjecture. Zbl 1439.11296
Mesnager, Sihem; Kim, Kwang Ho; Choe, Junyop; Tang, Chunming
2020
On relations between CCZ- and EA-equivalences. Zbl 1446.94110
Budaghyan, L.; Calderini, Marco; Villa, I.
2020
Some new bounds on LCD codes over finite fields. Zbl 07254112
Pang, Binbin; Zhu, Shixin; Kai, Xiaoshan
2020
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
Designed distances and parameters of new LCD BCH codes over finite fields. Zbl 1434.94100
Li, Fengwei; Yue, Qin; Wu, Yansheng
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
One-weight and two-weight $$\mathbb{Z}_2\mathbb{Z}_2[u,v]$$-additive codes. Zbl 07254093
Shi, Minjia; Wang, Chenchen; Wu, Rongsheng; Hu, Yu; Chang, Yaoqiang
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
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
Vectorial bent functions in odd characteristic and their components. Zbl 1468.94965
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pott, Alexander
2020
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
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
A note on the constructions of MDS self-dual codes. Zbl 1409.94929
Yan, Haode
2019
Binary linear complementary dual codes. Zbl 1459.94166
2019
Hadamard partitioned difference families and their descendants. Zbl 1415.05024
Buratti, Marco
2019
On the nonlinearity of Boolean functions with restricted input. Zbl 1436.11146
Mesnager, Sihem; Zhou, Zhengchun; Ding, Cunsheng
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
2019
More classes of permutation trinomials with Niho exponents. Zbl 1409.05005
Deng, Huali; Zheng, Dabin
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 size of the largest metrically regular subset of the Boolean cube. Zbl 1456.94102
Oblaukhov, Alexey
2019
Decomposition of permutations in a finite field. Zbl 1412.94196
Nikova, Svetla; Nikov, Ventzislav; Rijmen, Vincent
2019
A class of permutation trinomials over finite fields of odd characteristic. Zbl 1415.05006
Tu, Ziran; Zeng, Xiangyong
2019
Changing APN functions at two points. Zbl 1434.94071
Kaleyski, Nikolay S.
2019
Several new classes of self-dual bent functions derived from involutions. Zbl 1460.11147
Luo, Gaojun; Cao, Xiwang; Mesnager, Sihem
2019
On an algorithm generating 2-to-1 APN functions and its applications to “The big APN problem”. Zbl 1420.94074
Idrisova, Valeriya
2019
Cellular automata based S-boxes. Zbl 1420.94087
Mariot, Luca; Picek, Stjepan; Leporati, Alberto; Jakobovic, Domagoj
2019
The multiplicative complexity of 6-variable Boolean functions. Zbl 1420.94044
Çalık, Çağdaş; Sönmez Turan, Meltem; Peralta, René
2019
Several new classes of linear codes with few weights. Zbl 1409.94926
Liu, Hongwei; Maouche, Youcef
2019
Some new balanced and almost balanced quaternary sequences with low autocorrelation. Zbl 1409.05037
Michel, Jerod; Wang, Qi
2019
On affine variety codes from the Klein quartic. Zbl 1409.94874
Geil, Olav; Özbudak, Ferruh
2019
New bounds on the covering radius of the second order Reed-Muller code of length 128. Zbl 1409.94947
Wang, Qichun; Stănică, Pantelimon
2019
Several classes of permutation trinomials over $$\mathbb {F}_{5^{n}}$$ from Niho exponents. Zbl 1419.11130
Wu, Gaofei; Li, Nian
2019
Periodic state-space representations of periodic convolutional codes. Zbl 1454.94132
Napp, Diego; Pereira, Ricardo; Pinto, Raquel; Rocha, Paula
2019
Complete weight enumerators of a class of two-weight linear codes. Zbl 1462.94069
Yang, Shudi; Yue, Qin; Wu, Yansheng; Kong, Xiangli
2019
Settling the mystery of $$Z_{r} = r$$ in RC4. Zbl 1456.94072
Dey, Sabyasachi; Sarkar, Santanu
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 construction of abelian non-cyclic orbit codes. Zbl 1419.94082
Climent, Joan-Josep; Requena, Verónica; Soler-Escrivà, Xaro
2019
If a generalised butterfly is APN then it operates on 6 bits. Zbl 1434.94120
Canteaut, Anne; Perrin, Léo; Tian, Shizhu
2019
A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity. Zbl 1446.94160
Tang, Deng; Liu, Jian
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
Frobenius linear translators giving rise to new infinite classes of permutations and bent functions. Zbl 1434.11225
Cepak, N.; Pasalic, E.; Muratović-Ribić, A.
2019
Upper bounds on the multiplicative complexity of symmetric Boolean functions. Zbl 1446.94215
Brandão, Luís T. A. N.; Çalık, Çağdaş; Sönmez Turan, Meltem; Peralta, René
2019
Upper bounds and constructions of complete asynchronous channel hopping systems. Zbl 1409.94852
Gao, Zhe; Li, Chao; Zhou, Yue
2019
A lower bound on the 2-adic complexity of the modified Jacobi sequence. Zbl 1409.94856
Sun, Yuhua; Wang, Qiang; Yan, Tongjiang
2019
Constructions of S-boxes with uniform sharing. Zbl 1412.94218
Varici, Kerem; Nikova, Svetla; Nikov, Ventzislav; Rijmen, Vincent
2019
On classical Kloosterman sums. Zbl 1412.11088
Zinoviev, V. A.
2019
On the differential equivalence of APN functions. Zbl 1459.94180
Gorodilova, Anastasiya
2019
Two constructions of asymptotically optimal codebooks. Zbl 1459.94169
Luo, Gaojun; Cao, Xiwang
2019
New bounds for linear codes of covering radii 2 and 3. Zbl 1419.94092
Bartoli, Daniele; Davydov, Alexander A.; Giulietti, Massimo; Marcugini, Stefano; Pambianco, Fernanda
2019
The separation of binary relative three-weight codes and its applications. Zbl 1419.94066
Gao, Ying; Liu, Zihui; Liu, Yiwei
2019
Further results on permutation trinomials with Niho exponents. Zbl 1419.11129
Wang, Libo; Wu, Baofeng; Yue, Xiaoqiang; Zheng, Yanbin
2019
Integer codes correcting sparse byte errors. Zbl 1419.94075
2019
A concatenated construction of linear complementary pair of codes. Zbl 1419.94067
Güneri, Cem; Özbudak, Ferruh; Saçıkara, Elif
2019
Some bounds on binary LCD codes. Zbl 1391.94844
Galvez, Lucky; Kim, Jon-Lark; Lee, Nari; Roe, Young Gun; Won, Byung-Sun
2018
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
Binary linear codes with two or three weights from Niho exponents. Zbl 1412.94234
Luo, Gaojun; Cao, Xiwang; Xu, Shanding; Mi, Jiafu
2018
Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes. Zbl 1396.81072
Shi, Xueying; Yue, Qin; Chang, Yaotsu
2018
Good integers and some applications in coding theory. Zbl 1382.94176
Jitman, Somphong
2018
A new class of permutation trinomials constructed from Niho exponents. Zbl 1419.11126
Bai, Tao; Xia, Yongbo
2018
Classification and construction of quaternary self-dual bent functions. Zbl 1412.94257
Sok, Lin; Shi, MinJia; Solé, Patrick
2018
The weight distribution of a class of two-weight linear codes derived from Kloosterman sums. Zbl 1412.94236
Tan, Pan; Zhou, Zhengchun; Tang, Deng; Helleseth, Tor
2018
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
Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341
Carlet, Claude; Guilley, Sylvain
2018
Nonlinear vectorial primitive recursive sequences. Zbl 1419.94024
Hasan, Sartaj Ul; Panario, Daniel; Wang, Qiang
2018
Complete weight enumerators of three classes of linear codes. Zbl 1419.94072
Luo, Gaojun; Cao, Xiwang
2018
Construction of de Bruijn sequences from product of two irreducible polynomials. Zbl 1412.11028
Chang, Zuling; Ezerman, Martianus Frederic; Ling, San; Wang, Huaxiong
2018
Perfect sequences over the quaternions and $$(4n, 2, 4n, 2n)$$-relative difference sets in $$C_n \times Q_8$$. Zbl 1379.05019
Barrera Acevedo, Santiago; Dietrich, Heiko
2018
Design and analysis of small-state grain-like stream ciphers. Zbl 1390.94840
Hamann, Matthias; Krause, Matthias; Meier, Willi; Zhang, Bin
2018
Correlation immune functions with respect to the $$q$$-transform. Zbl 1419.94094
Gu, Ting; Chen, Zhixiong; Klapper, Andrew
2018
POEx: a beyond-birthday-bound-secure on-line cipher. Zbl 1379.94037
Forler, Christian; List, Eik; Lucks, Stefan; Wenzel, Jakob
2018
Modified planar functions and their components. Zbl 1416.06005
Anbar, Nurdagül; Meidl, Wilfried
2018
A sequence construction of cyclic codes over finite fields. Zbl 1412.94242
Ding, Cunsheng
2018
On new quantum codes from matrix product codes. Zbl 1382.81068
Liu, Xiusheng; Dinh, Hai Q.; Liu, Hualu; Yu, Long
2018
The symbol-pair distance distribution of a class of repeated-root cyclic codes over $$\mathbb {F}_{p^{m}}$$. Zbl 1391.94857
Sun, Zhonghua; Zhu, Shixin; Wang, Liqi
2018
A note on the chi-square method: a tool for proving cryptographic security. Zbl 1423.94052
Bhattacharya, Srimanta; Nandi, Mridul
2018
On stream ciphers with provable beyond-the-birthday-bound security against time-memory-data tradeoff attacks. Zbl 1390.94839
Hamann, Matthias; Krause, Matthias
2018
On the nonlinearity of monotone Boolean functions. Zbl 1419.94032
Carlet, Claude
2018
Cyclic codes over $$M_{2}(\mathbb {F}_{2}+u\mathbb {F}_{2})$$. Zbl 1419.94078
Luo, Rong; Parampalli, Udaya
2018
Five classes of optimal two-weight linear codes. Zbl 1419.94073
Luo, Gaojun; Cao, Xiwang
2018
The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields. Zbl 1419.94023
Chang, Zuling; Ezerman, Martianus Frederic; Ling, San; Wang, Huaxiong
2018
Backtracking-assisted multiplication. Zbl 1384.68008
Ferradi, Houda; Géraud, Rémi; Maimuţ, Diana; Naccache, David; Zhou, Hang
2018
Security of BLS and BGLS signatures in a multi-user setting. Zbl 1384.94078
Lacharité, Marie-Sarah
2018
KISS: a bit too simple. Zbl 1380.94120
Rose, Gregory G.
2018
On generating invertible circulant binary matrices with a prescribed number of ones. Zbl 1384.94061
Fabšič, Tomáš; Grošek, Otokar; Nemoga, Karol; Zajac, Pavol
2018
Statistical integral attack on CAST-256 and IDEA. Zbl 1384.94047
Cui, Tingting; Chen, Huaifeng; Wen, Long; Wang, Meiqin
2018
Malleability of the blockchain’s entropy. Zbl 1384.94095
Pierrot, Cécile; Wesolowski, Benjamin
2018
Quadratic residue codes over the ring $$\mathbb {F}_{p}[u]/\langle u^{m}-u\rangle$$ and their Gray images. Zbl 1412.94243
2018
Message authentication based on cryptographically secure CRC without polynomial irreducibility test. Zbl 1412.94169
Dubrova, Elena; Näslund, Mats; Selander, Göran; Lindqvist, Fredrik
2018
Enumeration formulae for self-dual, self-orthogonal and complementary-dual quasi-cyclic codes over finite fields. Zbl 1387.94124
2018
Cyclic codes over a non-commutative finite chain ring. Zbl 1387.94125
Sobhani, R.
2018
A generic method to construct zero-difference balanced functions. Zbl 1417.94118
Yi, Zongxiang; Lin, Zhiqiang; Ke, Lishan
2018
Constructions with high algebraic degree of differentially 4-uniform $$(n, n - 1)$$-functions and differentially 8-uniform $$(n, n - 2)$$-functions. Zbl 1382.11093
Alsalami, Yousuf
2018
On rate-1 and beyond-the-birthday bound secure online ciphers using tweakable block ciphers. Zbl 1387.94086
Jha, Ashwin; Nandi, Mridul
2018
...and 163 more Documents
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#### Cited by 981 Authors

 21 Cao, Xiwang 17 Zeng, Xiangyong 16 Mesnager, Sihem 16 Yue, Qin 15 Stănică, Pantelimon 13 Meidl, Wilfried 12 Solé, Patrick 11 Carlet, Claude 11 Qu, Longjiang 11 Shi, Minjia 10 Tang, Chunming 9 Bartoli, Daniele 9 Chen, Zhixiong 9 Cusick, Thomas W. 9 Fu, Fangwei 9 Helleseth, Tor 9 Li, Nian 9 Lin, Dongdai 9 Zha, Zhengbang 8 Castro, Francis Noel 8 Heng, Ziling 8 Luo, Gaojun 8 Medina, Luis A. 8 Özbudak, Ferruh 8 Sarkar, Santanu 8 Tan, Chik How 8 Winterhof, Arne 8 Wu, Yansheng 8 Zhu, Shixin 7 Anbar, Nurdagül 7 Dinh, Hai Quang 7 Harada, Masaaki 7 Hu, Lei 7 Li, Chunlei 7 Pasalic, Enes 7 Peng, Jie 7 Xu, Guangkui 7 Xu, Shanding 7 Zheng, Dabin 6 Bilotta, Stefano 6 Gangopadhyay, Sugata 6 Kim, Kwang Ho 6 Li, Chao 6 Li, Xia 6 Liang, Miao 6 Ostafe, Alina 6 Pinzani, Renzo 6 Tu, Ziran 5 Bandi, Ramakrishna 5 Bernini, Antonio 5 Budaghyan, Lilya 5 Carvalho, Cícero F. 5 Ding, Cunsheng 5 Du, Beiliang 5 Egan, Ronan 5 Gildea, Joe 5 Hou, Xiang-Dong 5 Hudry, Olivier 5 Jitman, Somphong 5 Kaya, Abidin 5 Korban, Adrian 5 Kotsireas, Ilias S. 5 Leander, Gregor 5 Li, Kangquan 5 Li, Yongqiang 5 Lobstein, Antoine-Christophe 5 Luo, Jinquan 5 Mitrouli, Marilena 5 Moradi, Amir 5 Paterson, Maura Beth 5 Sălăgean, Ana Maria 5 Shparlinski, Igor E. 5 Wang, Qichun 5 Wang, Qiuyan 5 Wang, Xiaoqiang 5 Xiang, Can 5 Xu, Bangteng 5 Yan, Tongjiang 4 Abdukhalikov, Kanat S. 4 Araya, Makoto 4 Barcucci, Elena 4 Calderini, Marco 4 Dey, Sabyasachi 4 Edemskiĭ, Vladimir Anatol’evich 4 Feng, Tao 4 Gomez-Perez, Domingo 4 Gong, Guang 4 Hodžić, Samir 4 Honkala, Iiro S. 4 Islam, Habibul 4 Klapper, Andrew M. 4 Kong, Xiangli 4 Li, Chengju 4 Liu, Zihui 4 Maitra, Subhamoy 4 Mi, Jiafu 4 Neumann, Victor G. L. 4 Ó Catháin, Padraig 4 Phan, Raphael Chung-Wei 4 Pott, Alexander ...and 881 more Authors
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#### Cited in 104 Journals

 124 Cryptography and Communications 121 Designs, Codes and Cryptography 80 Finite Fields and their Applications 41 Discrete Mathematics 33 Advances in Mathematics of Communications 27 Discrete Applied Mathematics 23 Applicable Algebra in Engineering, Communication and Computing 12 Matematicheskie Voprosy Kriptografii 11 Journal of Cryptology 11 Linear Algebra and its Applications 7 Theoretical Computer Science 7 International Journal of Foundations of Computer Science 7 International Journal of Computer Mathematics 7 Journal of Mathematical Cryptology 6 Journal of Systems Science and Complexity 5 Journal of Applied Mathematics and Computing 5 Prikladnaya Diskretnaya Matematika 4 Information Processing Letters 4 Applied Mathematics and Computation 4 Journal of Number Theory 4 Journal of Pure and Applied Algebra 4 Journal of Statistical Planning and Inference 4 Journal of Symbolic Computation 4 Science China. Mathematics 3 Acta Arithmetica 3 Journal of Combinatorial Theory. Series A 3 European Journal of Combinatorics 3 Bulletin of the Korean Mathematical Society 3 Journal of Algebraic Combinatorics 3 Computational and Applied Mathematics 3 Complexity 3 Mathematical Problems in Engineering 3 Quantum Information Processing 3 Discrete Mathematics, Algorithms and Applications 3 Science China. Information Sciences 3 Journal of Mathematics 3 Special Matrices 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Physics 2 Problems of Information Transmission 2 Mathematics of Computation 2 Information Sciences 2 Note di Matematica 2 Annals of Combinatorics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Algebra and its Applications 2 International Journal of Wavelets, Multiresolution and Information Processing 2 International Journal of Number Theory 2 Mathematics in Computer Science 2 Asian-European Journal of Mathematics 2 RAIRO. Theoretical Informatics and Applications 2 Arabian Journal of Mathematics 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 International Journal of Theoretical Physics 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Psychometrika 1 The Mathematical Intelligencer 1 Automatica 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Journal of Multivariate Analysis 1 Programming and Computer Software 1 Transactions of the American Mathematical Society 1 Cryptologia 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 Journal of Complexity 1 SIAM Journal on Discrete Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 Discrete Mathematics and Applications 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 The Australasian Journal of Combinatorics 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 Combinatorics, Probability and Computing 1 Statistical Papers 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 Journal of Combinatorial Designs 1 Annals of Mathematics and Artificial Intelligence 1 Computer Science Journal of Moldova 1 Séminaire Lotharingien de Combinatoire 1 Nonlinear Dynamics 1 Soft Computing 1 Journal of Combinatorial Optimization 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Interdisciplinary Information Sciences (IIS) 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Discrete Algorithms 1 Journal of Statistical Mechanics: Theory and Experiment 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Optimization Letters 1 Involve 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 TWMS Journal of Pure and Applied Mathematics 1 Theory of Computing ...and 4 more Journals
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#### Cited in 32 Fields

 542 Information and communication theory, circuits (94-XX) 287 Number theory (11-XX) 138 Combinatorics (05-XX) 64 Order, lattices, ordered algebraic structures (06-XX) 42 Computer science (68-XX) 34 Field theory and polynomials (12-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 26 Algebraic geometry (14-XX) 23 Geometry (51-XX) 17 Quantum theory (81-XX) 16 Group theory and generalizations (20-XX) 16 Numerical analysis (65-XX) 8 Commutative algebra (13-XX) 7 Statistics (62-XX) 5 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 Operations research, mathematical programming (90-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)