# zbMATH — the first resource for mathematics

## Designs, Codes and Cryptography

### An International Journal

 Short Title: Des. Codes Cryptography Publisher: Springer US, New York, NY ISSN: 0925-1022; 1573-7586/e Online: http://link.springer.com/journal/volumesAndIssues/10623 Comments: Indexed cover-to-cover
 Documents Indexed: 2,794 Publications (since 1991) References Indexed: 2,214 Publications with 47,154 References.
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#### Latest Issues

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#### Authors

 37 Storme, Leo 35 Ge, Gennian 27 Tonchev, Vladimir D. 26 Harada, Masaaki 25 Jungnickel, Dieter 25 Stinson, Douglas Robert 24 Carlet, Claude 24 Helleseth, Tor 23 Cossidente, Antonio 20 Solé, Patrick 20 Yin, Jianxing 19 Colbourn, Charles J. 19 Dougherty, Steven T. 19 Metsch, Klaus 19 Östergård, Patric R. J. 19 Thas, Joseph Adolphe 18 Bierbrauer, Jürgen 18 Blokhuis, Aart 18 Mesnager, Sihem 18 Özbudak, Ferruh 16 Ding, Cunsheng 16 Feng, Tao 16 Gulliver, Thomas Aaron 16 Ji, Lijun 16 Landzhev, Ivan Nikolov 16 Ling, San 15 Chang, Yanxun 15 Qi, Wenfeng 15 Van Maldeghem, Hendrik J. 14 Villanueva, Mercè 13 Bartoli, Daniele 13 Buratti, Marco 13 Jackson, Wen-Ai 13 Ma, Siu Lun 13 Maruta, Tatsuya 13 Panario, Daniel 13 Pott, Alexander 13 Shparlinski, Igor E. 13 Trung, Tran Van 12 Abel, R. Julian R. 12 Arasu, Krishnasamy Thiru 12 Ball, Simeon 12 Brouwer, Andries Evert 12 De Beule, Jan 12 Haemers, Willem H. 12 Kim, Jon-Lark 12 Lavrauw, Michel 12 Praeger, Cheryl Elisabeth 12 Yue, Qin 12 Zeng, Xiangyong 11 de Winter, Stefaan 11 Edel, Yves 11 Fernández-Córdoba, Cristina 11 Giulietti, Massimo 11 Hu, Lei 11 Meidl, Wilfried 11 Pambianco, Fernanda 11 Penttila, Tim 11 Schmidt, Bernhard 11 Shi, Minjia 11 Szőnyi, Tamás 11 Tang, Xiaohu 11 Wassermann, Alfred 11 Winterhof, Arne 11 Zhou, Junling 10 Davis, James Avery 10 De Bruyn, Bart 10 Fu, Fangwei 10 Heden, Olof 10 Hou, Xiang-Dong 10 Jedwab, Jonathan 10 Key, Jennifer D. 10 Korchmáros, Gábor 10 Lee, Yoonjin 10 Maitra, Subhamoy 10 Martin, Keith M. 10 Martínez-Moro, Edgar 10 Miao, Ying 10 Padró, Carles 10 Sarkar, Santanu 9 Charpin, Pascale 9 Dempwolff, Ulrich 9 Durante, Nicola 9 Hiramine, Yutaka 9 Kharaghani, Hadi 9 Kim, Seon Jeong 9 Krotov, Denis S. 9 Leung, Ka Hin 9 Li, Chengju 9 Lin, Dongdai 9 Ling, Alan Chi Hung 9 Marcugini, Stefano 9 Marino, Giuseppe 9 McGuire, Gary 9 Parker, Matthew Geoffrey 9 Rijmen, Vincent 9 Shiromoto, Keisuke 9 Tang, Chunming 9 Tian, Tian 9 Tran Van Trung ...and 2,623 more Authors
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#### Fields

 1,877 Information and communication theory, circuits (94-XX) 1,068 Combinatorics (05-XX) 611 Number theory (11-XX) 541 Geometry (51-XX) 208 Computer science (68-XX) 170 Algebraic geometry (14-XX) 160 Group theory and generalizations (20-XX) 71 Field theory and polynomials (12-XX) 65 Order, lattices, ordered algebraic structures (06-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 38 Quantum theory (81-XX) 34 Commutative algebra (13-XX) 29 General and overarching topics; collections (00-XX) 25 Numerical analysis (65-XX) 24 Convex and discrete geometry (52-XX) 21 Associative rings and algebras (16-XX) 19 History and biography (01-XX) 19 Operations research, mathematical programming (90-XX) 14 Statistics (62-XX) 10 Nonassociative rings and algebras (17-XX) 5 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

2,070 Publications have been cited 12,516 times in 7,003 Documents Cited by Year
Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011
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1998
Planar functions and planes of Lenz-Barlotti class II. Zbl 0872.51007
Coulter, Robert S.; Matthews, Rex W.
1997
Modular and $$p$$-adic cyclic codes. Zbl 0848.94020
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1995
A survey of partial difference sets. Zbl 0798.05008
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1994
An explication of secret sharing schemes. Zbl 0793.68111
Stinson, D. R.
1992
Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array. Zbl 1063.05138
Terwilliger, Paul
2005
Basic theory in construction of Boolean functions with maximum possible annihilator immunity. Zbl 1202.94179
Dalai, Deepak Kumar; Maitra, Subhamoy; Sarkar, Sumanta
2006
The structure of 1-generator quasi-twisted codes and new linear codes. Zbl 0991.94057
Aydin, Nuh; Siap, Irfan; Ray-Chaudhuri, Dijen K.
2001
Cyclic designs with block size 4 and related optimal optical orthogonal codes. Zbl 1003.05016
Buratti, Marco
2002
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
2016
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
2016
On cyclic codes of length $$2^{2^r}-1$$ with two zeros whose dual codes have three weights. Zbl 1282.94096
Feng, Tao
2012
Cyclic codes over the rings $$\mathbb Z_2 + u\mathbb Z_2$$ and $$\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2$$. Zbl 1143.94020
Abualrub, Taher; Siap, Irfan
2007
Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307
Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael
2007
Linear codes over $${\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}$$. Zbl 1187.94045
2010
Cyclic codes over $$\mathbb Z_4$$ of even length. Zbl 1172.94637
Dougherty, Steven T.; Ling, San
2006
Tight bounds on the information rate of secret sharing schemes. Zbl 0878.94050
Blundo, Carlo; De Santis, Alfredo; De Simone, Roberto; Vaccaro, Ugo
1997
Efficient arithmetic on Koblitz curves. Zbl 0997.94017
Solinas, Jerome A.
2000
Constructions and properties of $$k$$ out of $$n$$ visual secret sharing schemes. Zbl 0878.94049
Verheul, Eric R.; van Tilborg, Henk C. A.
1997
On Goppa codes and Weierstrass gaps at several points. Zbl 1070.94029
Carvalho, Cícero; Torres, Fernando
2005
On the algebraic structure of quasi-cyclic codes. II: Chain rings. Zbl 1032.94011
Ling, San; Solé, Patrick
2003
On the information rate of perfect secret sharing schemes. Zbl 0829.94006
van Dijk, Marten
1995
Weierstrass pairs and minimum distance of Goppa codes. Zbl 0989.94032
Matthews, Gretchen L.
2001
A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity. Zbl 1226.94013
Tu, Ziran; Deng, Yingpu
2011
Universal hashing and authentication codes. Zbl 0812.94011
Stinson, D. R.
1994
Constructions for permutation codes in powerline communications. Zbl 1065.94003
Chu, Wensong; Colbourn, Charles J.; Dukes, Peter
2004
On linear sets on a projective line. Zbl 1204.51013
Lavrauw, M.; Van de Voorde, G.
2010
Pseudo-Paley graphs and skew Hadamard difference sets from presemifields. Zbl 1126.05026
Weng, Guobiao; Qiu, Weisheng; Wang, Zeying; Xiang, Qing
2007
$$\mathbb Z_2\mathbb Z_4$$-linear codes: Generator matrices and duality. Zbl 1185.94092
Borges, J.; Fernández-Córdoba, C.; Pujol, J.; Rifà, J.; Villanueva, M.
2010
An extension theorem for linear codes. Zbl 0957.94030
Hill, Ray
1999
Sets of type $$(m,n)$$ in the affine and projective planes of order nine. Zbl 0841.05012
Penttila, Tim; Royle, Gordon F.
1995
The number of transversals in a Latin square. Zbl 1200.05039
McKay, Brendan D.; McLeod, Jeanette C.; Wanless, Ian M.
2006
Decoding affine variety codes using Gröbner bases. Zbl 0905.94027
Fitzgerald, J.; Lax, R. F.
1998
Elliptic curves suitable for pairing based cryptography. Zbl 1100.14517
Brezing, Friederike; Weng, Annegret
2005
Partially-bent functions. Zbl 0772.94005
Carlet, Claude
1993
Some new 2-resolvable Steiner quadruple systems. Zbl 0795.05020
Teirlinck, Luc
1994
Rank-metric codes and their duality theory. Zbl 1348.94098
Ravagnani, Alberto
2016
Constructions of good entanglement-assisted quantum error correcting codes. Zbl 1387.81111
Guenda, Kenza; Jitman, Somphong; Gulliver, T. Aaron
2018
On ovoids of parabolic quadrics. Zbl 1172.51300
Ball, Simeon; Govaerts, Patrick; Storme, Leo
2006
How to build robust shared control systems. Zbl 0919.94012
Anderson, Ross; Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv
1998
Cyclic codes over $${\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2$$. Zbl 1213.94182
2011
An efficient protocol for authenticated key agreement. Zbl 1016.94025
Law, Laurie; Menezes, Alfred; Qu, Minghua; Solinas, Jerry; Vanstone, Scott
2003
Further properties of several classes of Boolean functions with optimum algebraic immunity. Zbl 1174.94012
Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei
2009
On group-divisible designs with block size four and group-type $$g^u m^1$$. Zbl 1007.05023
Ge, G.; Rees, R. S.
2002
Optimal ternary linear codes. Zbl 0756.94008
Hill, Raymond; Newton, D. E.
1992
The explicit construction of irreducible polynomials over finite fields. Zbl 0768.11048
Cohen, Stephen D.
1992
Further progress on difference families with block size 4 or 5. Zbl 1198.94186
Buratti, Marco; Pasotti, Anita
2010
On the classification of APN functions up to dimension five. Zbl 1184.94227
Brinkmann, Marcus; Leander, Gregor
2008
Optimal ternary quasi-cyclic codes. Zbl 0756.94010
Greenough, P. P.; Hill, Raymond
1992
Almost MDS codes. Zbl 0913.94025
De Boer, Mario A.
1996
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
2018
Roux-type constructions for covering arrays of strengths three and four. Zbl 1182.05026
Colbourn, Charles J.; Martirosyan, Sosina S.; van Trung, Tran; Walker, Robert A.
2006
41 is the largest size of a cap in $$PG(4, 4)$$. Zbl 0935.51008
Edel, Yves; Bierbrauer, Jürgen
1999
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
1992
Perfect secret sharing schemes on five participants. Zbl 0868.94035
Jackson, Wen-Ai; Martin, Keith M.
1996
Affine Cartesian codes. Zbl 1312.94118
López, Hiram H.; Rentería-Márquez, Carlos; Villarreal, Rafael H.
2014
Complete weight enumerators of some cyclic codes. Zbl 1402.94102
Li, Chengju; Yue, Qin; Fu, Fang-Wei
2016
The existence of Latin squares without orthogonal mates. Zbl 1180.05023
Wanless, Ian M.; Webb, Bridget S.
2006
New semifields, PN and APN functions. Zbl 1269.12006
Bierbrauer, Jürgen
2010
Complete weight enumerators of a family of three-weight linear codes. Zbl 1370.94578
Yang, Shudi; Yao, Zheng-An
2017
Orthogonal partitions in designed experiments. Zbl 0877.05006
Bailey, R. A.
1996
On some methods for unconditionally secure key distribution and broadcast encryption. Zbl 0880.94009
Stinson, Doug R.
1997
Binary codes of strongly regular graphs. Zbl 0938.05062
Haemers, Willem H.; Peeters, René; van Rijckevorsel, Jeroen M.
1999
The state of elliptic curve cryptography. Zbl 0996.94032
Koblitz, Neal; Menezes, Alfred; Vanstone, Scott
2000
Systematic construction of $$q$$-analogs of $$t$$-$$(v,k,\lambda)$$-designs. Zbl 1055.05009
Braun, Michael; Kerber, Adalbert; Laue, Reinhard
2005
A new characterization of semi-bent and bent functions on finite fields. Zbl 1172.11311
Khoo, Khoongming; Gong, Guang; Stinson, Douglas R.
2006
On orthogonal double covers of graphs. Zbl 1001.05091
Gronau, Hans-Dietrich O. F.; Grüttmüller, Martin; Hartmann, Sven; Leck, Uwe; Leck, Volker
2002
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
2001
MDS codes over finite principal ideal rings. Zbl 1178.94221
Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid
2009
Spreads in strongly regular graphs. Zbl 0870.05078
Haemers, Willem H.; Tonchev, Vladimir D.
1996
The field descent method. Zbl 1066.05037
Leung, Ka Hin; Schmidt, Bernhard
2005
Complete weight enumerators of some linear codes and their applications. Zbl 1379.94058
Li, Chengju; Bae, Sunghan; Ahn, Jaehyun; Yang, Shudi; Yao, Zheng-An
2016
On perfect codes and related concepts. Zbl 0971.94014
Ahlswede, R.; Aydinian, H. K.; Khachatrian, L. H.
2001
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Existence of $$(q,6,1)$$ difference families with $$q$$ a prime power. Zbl 0912.05013
Chen, K.; Zhu, L.
1998
The correspondence between projective codes and 2-weight codes. Zbl 0872.94043
Brouwer, A. E.; van Eupen, M.
1997
Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079
Tang, Deng; Carlet, Claude; Tang, Xiaohu
2015
Linear codes using skew polynomials with automorphisms and derivations. Zbl 1302.94065
Boucher, D.; Ulmer, F.
2014
Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041
Carlet, Claude
2011
The existence of Kirkman squares – doubly resolvable $$(v,3,1)$$-BIBDs. Zbl 0995.05021
Colbourn, Charles J.; Lamken, E. R.; Ling, Alan C. H.; Mills, W. H.
2002
Almost affine codes. Zbl 0901.94024
Simonis, Juriaan; Ashikhmin, Alexei
1998
Resolvable maximum packings with quadruples. Zbl 1066.05046
Ge, Gennian; Lam, C. W. H.; Ling, Alan C. H.; Shen, Hao
2005
Constructing differentially 4-uniform permutations over $$\mathrm{GF}(2^{2m})$$ from quadratic APN permutations over $$\mathrm{GF}(2^{2m+1})$$. Zbl 1319.94077
Li, Yongqiang; Wang, Mingsheng
2014
Some new results on permutation polynomials over finite fields. Zbl 1369.11091
Ma, Jingxue; Zhang, Tao; Feng, Tao; Ge, Gennian
2017
A construction of optimal constant composition codes. Zbl 1181.94126
Ding, Cunsheng; Yin, Jianxing
2006
Constructions of external difference families and disjoint difference families. Zbl 1182.05011
Chang, Yanxun; Ding, Cunsheng
2006
Primitive rank 3 groups on symmetric designs. Zbl 0972.05008
Dempwolff, U.
2001
On $$t$$-covering arrays. Zbl 1046.05020
Martirosyan, Sosina; Tran van Trung
2004
Almost perfect and planar functions. Zbl 1351.51004
Pott, Alexander
2016
A class of minimal cyclic codes over finite fields. Zbl 1331.94074
Chen, Bocong; Liu, Hongwei; Zhang, Guanghui
2015
On the second weight of generalized Reed-Muller codes. Zbl 1196.94091
Geil, Olav
2008
Pairwise balanced designs with consecutive block sizes. Zbl 0869.05009
Ling, Alan C. H.; Zhu, Xiaojun; Colbourn, Charles J.; Mullin, Ronald C.
1997
Geometric secret sharing schemes and their duals. Zbl 0794.94010
Jackson, Wen-Ai; Martin, Keith M.
1994
Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers. Zbl 1263.11108
Ghorpade, Sudhir R.; Hasan, Sartaj Ul; Kumari, Meena
2011
On harmonic weight enumerators of binary codes. Zbl 0961.94012
Bachoc, Christine
1999
On the nonexistence of $$q$$-ary linear codes of dimension five. Zbl 0985.94036
Maruta, Tatsuya
2001
Optimal conflict-avoiding codes of length $$n\equiv 0\pmod{16}$$ and weight 3. Zbl 1178.94255
Mishima, Miwako; Fu, Hung-Lin; Uruno, Shoichi
2009
On a particular class of minihypers and its applications. I: The result for general $$q$$. Zbl 1022.51004
Govaerts, P.; Storme, L.
2003
Error-correcting codes over an alphabet of four elements. Zbl 1011.94029
Bogdanova, Galina T.; Brouwer, Andries E.; Kapralov, Stoian N.; Östergård, Patric R. J.
2001
Obtaining a secure and efficient key agreement protocol from (H)MQV and NAXOS. Zbl 1178.94205
Ustaoglu, Berkant
2008
On the $$c$$-differential uniformity of certain maps over finite fields. Zbl 07308508
Hasan, Sartaj Ul; Pal, Mohit; Riera, Constanza; Stănică, Pantelimon
2021
Adaptively secure revocable hierarchical IBE from $$k$$-linear assumption. Zbl 1466.94025
Emura, Keita; Takayasu, Atsushi; Watanabe, Yohei
2021
Evaluation codes and their basic parameters. Zbl 1456.14034
Jaramillo, Delio; Vaz Pinto, Maria; Villarreal, Rafael H.
2021
Rank-metric codes, linear sets, and their duality. Zbl 1444.51002
Sheekey, John; Van de Voorde, Geertrui
2020
Full classification of permutation rational functions and complete rational functions of degree three over finite fields. Zbl 07202596
Ferraguti, Andrea; Micheli, Giacomo
2020
Metrical properties of self-dual bent functions. Zbl 07149379
Kutsenko, Aleksandr
2020
On the boomerang uniformity of quadratic permutations. Zbl 1465.94097
Mesnager, Sihem; Tang, Chunming; Xiong, Maosheng
2020
Flag-transitive block designs with prime replication number and almost simple groups. Zbl 1439.05035
Alavi, Seyed Hassan; Bayat, Mohsen; Choulaki, Jalal; Daneshkhah, Ashraf
2020
New MDS self-dual codes over finite fields of odd characteristic. Zbl 1448.94259
Fang, Xiaolei; Lebed, Khawla; Liu, Hongwei; Luo, Jinquan
2020
Linear codes with few weights from cyclotomic classes and weakly regular bent functions. Zbl 1448.94277
Wu, Yanan; Li, Nian; Zeng, Xiangyong
2020
Characterising hyperbolic hyperplanes of a non-singular quadric in $$\mathrm{PG}(4,q)$$. Zbl 1430.51010
Barwick, S. G.; Hui, Alice M. W.; Jackson, Wen-Ai; Schillewaert, Jeroen
2020
Linear codes over signed graphs. Zbl 1452.94117
Martínez-Bernal, José; Valencia-Bucio, Miguel A.; Villarreal, Rafael H.
2020
Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes. Zbl 1454.94127
López, Hiram H.; Matthews, Gretchen L.; Soprunov, Ivan
2020
Boomerang uniformity of popular S-box constructions. Zbl 1453.94118
Tian, Shizhu; Boura, Christina; Perrin, Léo
2020
Do non-free LCD codes over finite commutative Frobenius rings exist? Zbl 07202593
Bhowmick, Sanjit; Fotue-Tabue, Alexandre; Martínez-Moro, Edgar; Bandi, Ramakrishna; Bagchi, Satya
2020
Linear $$\ell$$-intersection pairs of codes and their applications. Zbl 1450.94052
Guenda, Kenza; Gulliver, T. Aaron; Jitman, Somphong; Thipworawimon, Satanan
2020
Galois hulls of linear codes over finite fields. Zbl 1452.94116
Liu, Hongwei; Pan, Xu
2020
Four classes of minimal binary linear codes with $$w_{\mathrm{min}}/w_{\mathrm{max}}<1/2$$ derived from Boolean functions. Zbl 1439.11295
Li, Xia; Yue, Qin
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
2020
Random construction of partial MDS codes. Zbl 1454.94128
Neri, Alessandro; Horlemann-Trautmann, Anna-Lena
2020
Cryptanalysis of a system based on twisted Reed-Solomon codes. Zbl 1455.94177
Lavauzelle, Julien; Renner, Julian
2020
A geometric approach to rank metric codes and a classification of constant weight codes. Zbl 1450.94053
Randrianarisoa, Tovohery Hajatiana
2020
On optimal weak algebraic manipulation detection codes and weighted external difference families. Zbl 1448.94247
Shao, Minfeng; Miao, Ying
2020
On constructions and properties of $$(n,m)$$-functions with maximal number of bent components. Zbl 1454.94109
Zheng, Lijing; Peng, Jie; Kan, Haibin; Li, Yanjun; Luo, Juan
2020
On equivalence of maximum additive symmetric rank-distance codes. Zbl 1440.15018
Zhou, Yue
2020
Multimedia IPP codes with efficient tracing. Zbl 1456.94128
Jiang, Jing; Gu, Yujie; Cheng, Minquan
2020
All in the $$C^*$$ family. Zbl 1448.94190
Cartor, Ryann; Smith-Tone, Daniel
2020
Six constructions of asymptotically optimal codebooks via the character sums. Zbl 1442.94001
Lu, Wei; Wu, Xia; Cao, Xiwang; Chen, Ming
2020
Quantum attacks on some Feistel block ciphers. Zbl 1448.94195
Dong, Xiaoyang; Dong, Bingyou; Wang, Xiaoyun
2020
Some remarks on non projective Frobenius algebras and linear codes. Zbl 07149367
Gómez-Torrecillas, José; Hieta-Aho, Erik; Lobillo, F. J.; López-Permouth, Sergio; Navarro, Gabriel
2020
A proof of the Beierle-Kranz-Leander conjecture related to lightweight multiplication in $$\mathbb{F}_{2^n}$$. Zbl 07149371
Mesnager, Sihem; Kim, Kwang Ho; Jo, Dujin; Choe, Junyop; Han, Munhyon; Lee, Dok Nam
2020
Further results on the equivalence between Galois NFSRs and Fibonacci NFSRs. Zbl 1428.94048
Zhao, Xiao-Xin; Qi, Wen-Feng; Zhang, Jia-Min
2020
On some conjectures about optimal ternary cyclic codes. Zbl 1452.94124
Liu, Yan; Cao, Xiwang; Lu, Wei
2020
Discrete antiderivatives for functions over $$\mathbb{F}_p^n$$. Zbl 1448.94226
Sălăgean, Ana
2020
Combinatorial $$t$$-designs from quadratic functions. Zbl 1434.05025
Xiang, Can; Ling, Xin; Wang, Qi
2020
$$\sigma$$-LCD codes over finite chain rings. Zbl 1444.94128
Liu, Xiusheng; Liu, Hualu
2020
Small weight code words arising from the incidence of points and hyperplanes in $$\mathrm{PG}(n,q)$$. Zbl 07182913
Adriaensen, Sam; Denaux, Lins; Storme, Leo; Weiner, Zsuzsa
2020
Subgroup perfect codes in Cayley sum graphs. Zbl 1448.05153
Ma, Xuanlong; Feng, Min; Wang, Kaishun
2020
Wei-type duality theorems for rank metric codes. Zbl 07225543
Britz, Thomas; Mammoliti, Adam; Shiromoto, Keisuke
2020
Weierstrass semigroup at $$m+1$$ rational points in maximal curves which cannot be covered by the Hermitian curve. Zbl 1454.14141
Sepúlveda Castellanos, Alonso; Bras-Amorós, Maria
2020
Constructions of optimal locally recoverable codes via Dickson polynomials. Zbl 1465.94112
Liu, Jian; Mesnager, Sihem; Tang, Deng
2020
Proving the biases of Salsa and ChaCha in differential attack. Zbl 1453.94075
Dey, Sabyasachi; Sarkar, Santanu
2020
Cryptanalysis of a code-based one-time signature. Zbl 1454.94064
Deneuville, Jean-Christophe; Gaborit, Philippe
2020
On 2-parent-identifying set systems of block size 4. Zbl 1465.94132
Gu, Yujie; Satake, Shohei
2020
Characterizations and constructions of triple-cycle permutations of the form $$x^rh(x^s)$$. Zbl 1465.11231
Wu, Mengna; Li, Chengju; Wang, Zilong
2020
On post-processing in the quantum algorithm for computing short discrete logarithms. Zbl 07263375
Ekerå, Martin
2020
Symmetries of biplanes. Zbl 1462.05043
Alavi, Seyed Hassan; Daneshkhah, Ashraf; Praeger, Cheryl E.
2020
Access balancing in storage systems by labeling partial Steiner systems. Zbl 1457.05014
Chee, Yeow Meng; Colbourn, Charles J.; Dau, Hoang; Gabrys, Ryan; Ling, Alan C. H.; Lusi, Dylan; Milenkovic, Olgica
2020
Doubly resolvable Steiner quadruple systems of orders $$2^{2n+1}$$. Zbl 1451.05024
Xu, Juanjuan; Bao, Jingjun; Ji, Lijun
2020
Maximal nonassociativity via fields. Zbl 07272713
Lisoněk, Petr
2020
Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6. Zbl 1409.51010
Heinlein, Daniel; Honold, Thomas; Kiermaier, Michael; Kurz, Sascha; Wassermann, Alfred
2019
Linear codes from weakly regular plateaued functions and their secret sharing schemes. Zbl 1421.94098
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
2019
On some quadratic APN functions. Zbl 1419.11138
Taniguchi, Hiroaki
2019
The functional graph of linear maps over finite fields and applications. Zbl 1428.12004
Panario, Daniel; Reis, Lucas
2019
On disjoint $$(v,k,k-1)$$ difference families. Zbl 1407.05037
Buratti, Marco
2019
The classification of Steiner triple systems on 27 points with 3-rank 24. Zbl 1407.05036
Jungnickel, Dieter; Magliveras, Spyros S.; Tonchev, Vladimir D.; Wassermann, Alfred
2019
Codes with the rank metric and matroids. Zbl 1414.05071
Shiromoto, Keisuke
2019
Theory of supports for linear codes endowed with the sum-rank metric. Zbl 1419.94042
Martínez-Peñas, Umberto
2019
How many weights can a linear code have? Zbl 1403.94112
Shi, Minjia; Zhu, Hongwei; Solé, Patrick; Cohen, Gérard D.
2019
Two notions of differential equivalence on Sboxes. Zbl 1454.94052
Boura, Christina; Canteaut, Anne; Jean, Jérémy; Suder, Valentin
2019
Differential attacks: using alternative operations. Zbl 1454.94059
Civino, Roberto; Blondeau, Céline; Sala, Massimiliano
2019
On spherical codes with inner products in a prescribed interval. Zbl 1448.94301
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
2019
Signature codes for weighted noisy adder channel, multimedia fingerprinting and compressed sensing. Zbl 1421.94125
Egorova, Elena; Fernandez, Marcel; Kabatiansky, Grigory; Lee, Moon Ho
2019
Covers and partial transversals of Latin squares. Zbl 1414.05057
Best, Darcy; Marbach, Trent; Stones, Rebecca J.; Wanless, Ian M.
2019
Variations of the primitive normal basis theorem. Zbl 1410.12006
Kapetanakis, Giorgos; Reis, Lucas
2019
Weightwise perfectly balanced functions with high weightwise nonlinearity profile. Zbl 1453.94101
Liu, Jian; Mesnager, Sihem
2019
Cameron-Liebler sets of $$k$$-spaces in $$\mathrm{PG}(n,q)$$. Zbl 1414.05313
Blokhuis, A.; De Boeck, M.; D&rsquo;haeseleer, J.
2019
Several classes of linear codes with a few weights from defining sets over $$\mathbb {F}_p+u\mathbb {F}_p$$. Zbl 1403.94110
Liu, Haibo; Liao, Qunying
2019
New results on the state cycles of Trivium. Zbl 1403.94092
Zhang, Shiyong; Chen, Gongliang
2019
On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures. Zbl 1454.94149
Carlet, Claude
2019
The graph structure of Chebyshev polynomials over finite fields and applications. Zbl 1428.12005
Qureshi, Claudio; Panario, Daniel
2019
Improved power decoding of interleaved one-point Hermitian codes. Zbl 1421.94123
Puchinger, Sven; Rosenkilde, Johan; Bouw, Irene
2019
On binary de Bruijn sequences from LFSRs with arbitrary characteristic polynomials. Zbl 1439.11055
Chang, Zuling; Ezerman, Martianus Frederic; Ling, San; Wang, Huaxiong
2019
The linear complexity of generalized cyclotomic binary sequences of period $$p^n$$. Zbl 07056605
Edemskiy, Vladimir; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
2019
Simulation-based selective opening security for receivers under chosen-ciphertext attacks. Zbl 1445.94022
Huang, Zhengan; Lai, Junzuo; Chen, Wenbin; Au, Man Ho; Peng, Zhen; Li, Jin
2019
A recursive construction of permutation polynomials over $$\mathbb F_{q^2}$$ with odd characteristic related to Rédei functions. Zbl 1445.11141
Fu, Shihui; Feng, Xiutao; Lin, Dongdai; Wang, Qiang
2019
At most three-weight binary linear codes from generalized Moisio’s exponential sums. Zbl 1412.11140
Wu, Yansheng; Yue, Qin; Shi, Xueying
2019
On equivalence of cyclic codes, generalization of a quasi-twisted search algorithm, and new linear codes. Zbl 1419.94061
Aydin, Nuh; Lambrinos, Jonathan; VandenBerg, Oliver
2019
Linked systems of symmetric group divisible designs of type. II. Zbl 1419.05219
2019
A new distance-regular graph of diameter 3 on 1024 vertices. Zbl 1419.05220
Shi, Minjia; Krotov, Denis S.; Solé, Patrick
2019
A new polynomial-time variant of LLL with deep insertions for decreasing the squared-sum of Gram-Schmidt lengths. Zbl 1431.68084
Yasuda, Masaya; Yamaguchi, Junpei
2019
Binary additive MRD codes with minimum distance $$n-1$$ must contain a semifield spread set. Zbl 1447.94068
Sheekey, John
2019
Linear complexity of generalized cyclotomic sequences of period $$2p^m$$. Zbl 1447.94015
Ouyang, Yi; Xie, Xianhong
2019
Further study on the maximum number of bent components of vectorial functions. Zbl 1421.94129
Mesnager, Sihem; Zhang, Fengrong; Tang, Chunming; Zhou, Yong
2019
Steiner systems $$S(2, 4, \frac{3^m-1}{2})$$ and 2-designs from ternary linear codes of length $$\frac{3^m-1}{2}$$. Zbl 1423.94157
Tang, Chunming; Ding, Cunsheng; Xiong, Maosheng
2019
Recursive constructions for $$s$$-resolvable $$t$$-designs. Zbl 1434.05024
van Trung, Tran
2019
Strongly leakage resilient authenticated key exchange, revisited. Zbl 1423.94116
Yang, Guomin; Chen, Rongmao; Mu, Yi; Susilo, Willy; Guo, Fuchun; Li, Jie
2019
Involutory differentially 4-uniform permutations from known constructions. Zbl 1403.94058
Fu, Shihui; Feng, Xiutao
2019
Phased unitary Golay pairs, Butson Hadamard matrices and a conjecture of Ito’s. Zbl 1402.05026
Egan, Ronan
2019
Improved bounds on 2-frameproof codes with length 4. Zbl 1403.94127
Cheng, Minquan; Jiang, Jing; Wang, Qiang
2019
Constructions of optimal Ferrers diagram rank metric codes. Zbl 1402.94096
Zhang, Tao; Ge, Gennian
2019
On the $$q$$-bentness of Boolean functions. Zbl 1403.94049
Chen, Zhixiong; Gu, Ting; Klapper, Andrew
2019
Self-dual codes better than the Gilbert-Varshamov bound. Zbl 1405.14062
Bassa, Alp; Stichtenoth, Henning
2019
On circulant involutory MDS matrices. Zbl 1454.94122
Cauchois, Victor; Loidreau, Pierre
2019
Construction and search of balanced Boolean functions on even number of variables towards excellent autocorrelation profile. Zbl 1448.94312
Kavut, Selçuk; Maitra, Subhamoy; Tang, Deng
2019
On $$\mathbb {Z}_{2^s}$$-linear Hadamard codes: kernel and partial classification. Zbl 1419.94083
Fernández-Córdoba, Cristina; Vela, Carlos; Villanueva, Mercè
2019
Types of spreads and duality of the parallelisms of $$\mathrm{PG}(3,5)$$ with automorphisms of order 13. Zbl 1409.51011
Topalova, Svetlana; Zhelezova, Stela
2019
Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields. Zbl 1408.14189
Ballet, Stéphane; Zykin, Alexey
2019
Almost involutory recursive MDS diffusion layers. Zbl 1421.94055
Gupta, Kishan Chand; Pandey, Sumit Kumar; Venkateswarlu, Ayineedi
2019
Gaps between prime numbers and tensor rank of multiplication in finite fields. Zbl 1428.12001
Randriam, Hugues
2019
...and 1309 more Documents
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#### Cited by 5,778 Authors

 73 Ge, Gennian 64 Storme, Leo 56 Bartoli, Daniele 54 Fu, Fangwei 52 Solé, Patrick 49 Colbourn, Charles J. 48 Yue, Qin 47 Feng, Tao 47 Özbudak, Ferruh 46 Cao, Xiwang 45 Carlet, Claude 45 Chang, Yanxun 45 Zeng, Xiangyong 43 Zhu, Shixin 42 Shparlinski, Igor E. 42 Xiang, Qing 41 Cossidente, Antonio 41 Ding, Cunsheng 41 Dougherty, Steven T. 41 Mesnager, Sihem 41 Shi, Minjia 40 Tonchev, Vladimir D. 37 Östergård, Patric R. J. 36 Gulliver, Thomas Aaron 36 Harada, Masaaki 36 Ji, Lijun 35 De Bruyn, Bart 35 Hu, Lei 35 Metsch, Klaus 34 Terwilliger, Paul M. 34 Van Maldeghem, Hendrik J. 33 Abel, R. Julian R. 33 Dinh, Hai Quang 32 Helleseth, Tor 32 Marino, Giuseppe 32 Pambianco, Fernanda 31 Cao, Yonglin 31 Marcugini, Stefano 31 Polverino, Olga 30 Stinson, Douglas Robert 30 Tang, Chunming 30 Yildiz, Bahattin 30 Zhou, Shenglin 29 Ling, San 29 Maruta, Tatsuya 29 Meidl, Wilfried 29 Pott, Alexander 29 Stănică, Pantelimon 29 Yin, Jianxing 28 Jungnickel, Dieter 27 Leung, Ka Hin 27 Liu, Zihui 27 Qu, Longjiang 26 Lin, Dongdai 26 Momihara, Koji 26 Winterhof, Arne 25 Krotov, Denis S. 25 Trombetti, Rocco 25 Wanless, Ian M. 24 Guenda, Kenza 24 Hou, Xiang-Dong 24 Key, Jennifer D. 24 Liu, Hongwei 24 Praeger, Cheryl Elisabeth 23 Davydov, Alexander A. 23 Koolen, Jack H. 23 Lavrauw, Michel 23 Lee, Yoonjin 23 Li, Chengju 23 Siap, Irfan 23 Zhou, Zhengchun 22 Bierbrauer, Jürgen 22 Crnković, Dean 22 De Beule, Jan 22 Li, Chunlei 22 Thas, Joseph Adolphe 22 Zhou, Junling 21 Aydin, Nuh 21 Bennett, Frank E. 21 Cao, Yuan 21 Gao, Jian 21 Giulietti, Massimo 21 Kaya, Abidin 21 Li, Chao 21 Padró, Carles 21 Pavese, Francesco 21 Van de Voorde, Geertrui 21 Wu, Dianhua 20 Bamberg, John 20 Buratti, Marco 20 Heden, Olof 20 Ma, Siu Lun 20 Schmidt, Bernhard 19 Chen, Zhixiong 19 Jitman, Somphong 19 Landzhev, Ivan Nikolov 19 Nomura, Kazumasa 19 Pasalic, Enes 19 Penttila, Tim 19 Qi, Wenfeng ...and 5,678 more Authors
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#### Cited in 377 Journals

 1,352 Designs, Codes and Cryptography 607 Discrete Mathematics 571 Finite Fields and their Applications 252 Cryptography and Communications 244 Journal of Combinatorial Theory. Series A 187 Advances in Mathematics of Communications 182 Discrete Applied Mathematics 153 Journal of Combinatorial Designs 136 Linear Algebra and its Applications 136 Applicable Algebra in Engineering, Communication and Computing 128 European Journal of Combinatorics 113 Journal of Algebraic Combinatorics 78 Theoretical Computer Science 68 Journal of Statistical Planning and Inference 67 Information Processing Letters 64 Information Sciences 63 Mathematics of Computation 62 Journal of Geometry 61 Problems of Information Transmission 60 Journal of Cryptology 59 Journal of Mathematical Cryptology 58 Journal of Algebra 54 Graphs and Combinatorics 44 Journal of Pure and Applied Algebra 43 International Journal of Foundations of Computer Science 42 Journal of Number Theory 40 Journal of Applied Mathematics and Computing 37 Applied Mathematics and Computation 35 The Electronic Journal of Combinatorics 35 Journal of Systems Science and Complexity 34 Journal of Algebra and its Applications 32 Quantum Information Processing 32 Discrete Mathematics, Algorithms and Applications 31 Journal of Symbolic Computation 31 Journal of Algebra, Combinatorics, Discrete Structures and Applications 30 Matematicheskie Voprosy Kriptografii 28 SIAM Journal on Discrete Mathematics 28 International Journal of Computer Mathematics 28 Advances in Geometry 28 Science China. Mathematics 27 Communications in Algebra 23 Journal of Discrete Mathematical Sciences & Cryptography 23 Prikladnaya Diskretnaya Matematika 20 International Journal of Theoretical Physics 20 Mathematics in Computer Science 19 The Australasian Journal of Combinatorics 18 Linear and Multilinear Algebra 18 Combinatorica 18 Wuhan University Journal of Natural Sciences (WUJNS) 18 Asian-European Journal of Mathematics 17 Proceedings of the American Mathematical Society 17 Annals of Combinatorics 16 Journal of Combinatorial Theory. Series B 16 Acta Mathematica Sinica. English Series 15 Journal of the Franklin Institute 15 Journal of Complexity 14 Bulletin of the Australian Mathematical Society 14 Transactions of the American Mathematical Society 14 Bulletin of the Korean Mathematical Society 14 Information and Computation 13 Pattern Recognition 13 Mathematical Problems in Engineering 13 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 12 Journal of Mathematical Sciences (New York) 12 Sibirskie Èlektronnye Matematicheskie Izvestiya 12 Science China. Information Sciences 11 Computers & Mathematics with Applications 11 Journal of Computer and System Sciences 11 Ars Mathematica Contemporanea 10 Advances in Mathematics 10 Archiv der Mathematik 10 Journal of the Australian Mathematical Society 10 International Journal of Number Theory 10 Korean Journal of Mathematics 9 Israel Journal of Mathematics 9 The Annals of Statistics 9 Monatshefte für Mathematik 9 Applied Mathematics Letters 9 Journal de Théorie des Nombres de Bordeaux 9 Computational and Applied Mathematics 9 Discussiones Mathematicae. Graph Theory 9 Frontiers of Mathematics in China 9 Journal of Statistical Theory and Practice 9 Transactions on Combinatorics 8 Geometriae Dedicata 8 Cybernetics and Systems Analysis 8 Journal of Applied Mathematics 8 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 7 Periodica Mathematica Hungarica 7 Results in Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Algorithmica 7 Science in China. Series A 7 Applied Mathematics. Series B (English Edition) 7 Nonlinear Dynamics 7 Journal of Combinatorial Optimization 7 International Journal of Quantum Information 7 Algebraic Combinatorics 6 Journal of Mathematical Physics 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ...and 277 more Journals
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#### Cited in 54 Fields

 4,075 Information and communication theory, circuits (94-XX) 2,437 Combinatorics (05-XX) 1,775 Number theory (11-XX) 996 Geometry (51-XX) 526 Computer science (68-XX) 463 Algebraic geometry (14-XX) 426 Group theory and generalizations (20-XX) 219 Field theory and polynomials (12-XX) 216 Order, lattices, ordered algebraic structures (06-XX) 189 Linear and multilinear algebra; matrix theory (15-XX) 187 Quantum theory (81-XX) 146 Commutative algebra (13-XX) 86 Associative rings and algebras (16-XX) 86 Statistics (62-XX) 78 Operations research, mathematical programming (90-XX) 54 Convex and discrete geometry (52-XX) 53 Nonassociative rings and algebras (17-XX) 53 Numerical analysis (65-XX) 45 Special functions (33-XX) 40 Dynamical systems and ergodic theory (37-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 21 Biology and other natural sciences (92-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Mathematical logic and foundations (03-XX) 14 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 11 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 9 Approximations and expansions (41-XX) 9 Systems theory; control (93-XX) 8 Abstract harmonic analysis (43-XX) 7 Real functions (26-XX) 7 Operator theory (47-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General algebraic systems (08-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)