## 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: 2,952 Publications (since 1991) References Indexed: 2,371 Publications with 51,445 References.
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### Authors

 39 Storme, Leo 35 Ge, Gennian 28 Tonchev, Vladimir D. 27 Harada, Masaaki 26 Stinson, Douglas Robert 25 Jungnickel, Dieter 24 Carlet, Claude 24 Helleseth, Tor 23 Cossidente, Antonio 22 Mesnager, Sihem 21 Blokhuis, Aart 20 Colbourn, Charles J. 20 Dougherty, Steven T. 20 Özbudak, Ferruh 20 Solé, Patrick 20 Yin, Jianxing 19 Feng, Tao 19 Metsch, Klaus 19 Östergård, Patric R. J. 19 Thas, Joseph Adolphe 18 Bierbrauer, Jürgen 18 Ji, Lijun 17 Ling, San 16 Chang, Yanxun 16 Ding, Cunsheng 16 Gulliver, Thomas Aaron 16 Landzhev, Ivan Nikolov 16 Qi, Wenfeng 16 Zeng, Xiangyong 15 Van Maldeghem, Hendrik J. 15 Villanueva, Mercè 14 Ball, Simeon 14 Buratti, Marco 14 Lavrauw, Michel 14 Maruta, Tatsuya 14 Praeger, Cheryl Elisabeth 14 Yue, Qin 13 Abel, R. Julian R. 13 Bartoli, Daniele 13 De Beule, Jan 13 De Bruyn, Bart 13 Haemers, Willem H. 13 Jackson, Wen-Ai 13 Ma, Siu Lun 13 Meidl, Wilfried 13 Panario, Daniel 13 Pott, Alexander 13 Shparlinski, Igor E. 13 Szőnyi, Tamás 13 Trung, Tran Van 12 Arasu, Krishnasamy Thiru 12 Brouwer, Andries Evert 12 Fernández-Córdoba, Cristina 12 Kim, Jon-Lark 12 Pambianco, Fernanda 12 Penttila, Tim 12 Shi, Minjia 11 de Winter, Stefaan 11 Edel, Yves 11 Fu, Fangwei 11 Giulietti, Massimo 11 Hu, Lei 11 Pasalic, Enes 11 Sarkar, Santanu 11 Schmidt, Bernhard 11 Tang, Chunming 11 Tang, Xiaohu 11 Wassermann, Alfred 11 Winterhof, Arne 11 Zhou, Junling 10 Davis, James Avery 10 Dempwolff, Ulrich 10 Heden, Olof 10 Hou, Xiang-Dong 10 Jedwab, Jonathan 10 Key, Jennifer D. 10 Korchmáros, Gábor 10 Lee, Yoonjin 10 Li, Chengju 10 Maitra, Subhamoy 10 Marcugini, Stefano 10 Martin, Keith M. 10 Martínez-Moro, Edgar 10 Miao, Ying 10 Padró, Carles 10 Rijmen, Vincent 10 Tian, Tian 10 Tran Van Trung 9 Charpin, Pascale 9 Durante, Nicola 9 Hiramine, Yutaka 9 Kharaghani, Hadi 9 Kim, Seon Jeong 9 Krotov, Denis S. 9 Leung, Ka Hin 9 Lin, Dongdai 9 Ling, Alan Chi Hung 9 Marino, Giuseppe 9 McGuire, Gary 9 Parker, Matthew Geoffrey ...and 2,797 more Authors
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### Fields

 2,000 Information and communication theory, circuits (94-XX) 1,116 Combinatorics (05-XX) 652 Number theory (11-XX) 565 Geometry (51-XX) 227 Computer science (68-XX) 177 Algebraic geometry (14-XX) 168 Group theory and generalizations (20-XX) 76 Field theory and polynomials (12-XX) 63 Order, lattices, ordered algebraic structures (06-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 47 Quantum theory (81-XX) 35 Commutative algebra (13-XX) 31 General and overarching topics; collections (00-XX) 25 Associative rings and algebras (16-XX) 24 Convex and discrete geometry (52-XX) 24 Numerical analysis (65-XX) 21 Operations research, mathematical programming (90-XX) 19 History and biography (01-XX) 15 Statistics (62-XX) 10 Nonassociative rings and algebras (17-XX) 5 Approximations and expansions (41-XX) 5 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) 3 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

2,241 Publications have been cited 14,585 times in 8,035 Documents Cited by Year
Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011
Carlet, Claude; Charpin, Pascale; Zinoviev, Victor
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
Calderbank, A. R.; Sloane, N. J. A.
1995
A survey of partial difference sets. Zbl 0798.05008
Ma, S. L.
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
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
2016
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
2016
Cyclic designs with block size 4 and related optimal optical orthogonal codes. Zbl 1003.05016
Buratti, Marco
2002
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
Constructions of good entanglement-assisted quantum error correcting codes. Zbl 1387.81111
Guenda, Kenza; Jitman, Somphong; Gulliver, T. Aaron
2018
On cyclic codes of length $$2^{2^r}-1$$ with two zeros whose dual codes have three weights. Zbl 1282.94096
Feng, Tao
2012
Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307
Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael
2007
Cyclic codes over $$\mathbb Z_4$$ of even length. Zbl 1172.94637
Dougherty, Steven T.; Ling, San
2006
Linear codes over $${\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}$$. Zbl 1187.94045
Yildiz, Bahattin; Karadeniz, Suat
2010
$$\mathbb Z_2\mathbb Z_4$$-linear codes: Generator matrices and duality. Zbl 1185.94092
Borges, J.; Fernández-Córdoba, C.; Pujol, J.; Rifà, J.; Villanueva, M.
2010
On the algebraic structure of quasi-cyclic codes. II: Chain rings. Zbl 1032.94011
Ling, San; Solé, Patrick
2003
Efficient arithmetic on Koblitz curves. Zbl 0997.94017
Solinas, Jerome A.
2000
Tight bounds on the information rate of secret sharing schemes. Zbl 0878.94050
Blundo, Carlo; De Santis, Alfredo; De Simone, Roberto; Vaccaro, Ugo
1997
On the information rate of perfect secret sharing schemes. Zbl 0829.94006
van Dijk, Marten
1995
On Goppa codes and Weierstrass gaps at several points. Zbl 1070.94029
Carvalho, Cícero; Torres, Fernando
2005
On linear sets on a projective line. Zbl 1204.51013
Lavrauw, M.; Van de Voorde, G.
2010
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
2018
Constructions and properties of $$k$$ out of $$n$$ visual secret sharing schemes. Zbl 0878.94049
Verheul, Eric R.; van Tilborg, Henk C. A.
1997
Constructions for permutation codes in powerline communications. Zbl 1065.94003
Chu, Wensong; Colbourn, Charles J.; Dukes, Peter
2004
Universal hashing and authentication codes. Zbl 0812.94011
Stinson, D. R.
1994
Rank-metric codes and their duality theory. Zbl 1348.94098
Ravagnani, Alberto
2016
A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity. Zbl 1226.94013
Tu, Ziran; Deng, Yingpu
2011
Sets of type $$(m,n)$$ in the affine and projective planes of order nine. Zbl 0841.05012
Penttila, Tim; Royle, Gordon F.
1995
Worst-case to average-case reductions for module lattices. Zbl 1361.94043
Langlois, Adeline; Stehlé, Damien
2015
Pseudo-Paley graphs and skew Hadamard difference sets from presemifields. Zbl 1126.05026
Weng, Guobiao; Qiu, Weisheng; Wang, Zeying; Xiang, Qing
2007
Weierstrass pairs and minimum distance of Goppa codes. Zbl 0989.94032
Matthews, Gretchen L.
2001
Cyclic codes over $${\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2$$. Zbl 1213.94182
Yildiz, Bahattin; Karadeniz, Suat
2011
Elliptic curves suitable for pairing based cryptography. Zbl 1100.14517
Brezing, Friederike; Weng, Annegret
2005
The number of transversals in a Latin square. Zbl 1200.05039
McKay, Brendan D.; McLeod, Jeanette C.; Wanless, Ian M.
2006
Partially-bent functions. Zbl 0772.94005
Carlet, Claude
1993
Some new 2-resolvable Steiner quadruple systems. Zbl 0795.05020
Teirlinck, Luc
1994
On the classification of APN functions up to dimension five. Zbl 1184.94227
Brinkmann, Marcus; Leander, Gregor
2008
How to build robust shared control systems. Zbl 0919.94012
Anderson, Ross; Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv
1998
An extension theorem for linear codes. Zbl 0957.94030
Hill, Ray
1999
On ovoids of parabolic quadrics. Zbl 1172.51300
Ball, Simeon; Govaerts, Patrick; Storme, Leo
2006
Fully homomorphic SIMD operations. Zbl 1323.94140
Smart, N. P.; Vercauteren, F.
2014
Decoding affine variety codes using Gröbner bases. Zbl 0905.94027
Fitzgerald, J.; Lax, R. F.
1998
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
Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079
Tang, Deng; Carlet, Claude; Tang, Xiaohu
2015
The explicit construction of irreducible polynomials over finite fields. Zbl 0768.11048
Cohen, Stephen D.
1992
On group-divisible designs with block size four and group-type $$g^u m^1$$. Zbl 1007.05023
Ge, G.; Rees, R. S.
2002
Further progress on difference families with block size 4 or 5. Zbl 1198.94186
Buratti, Marco; Pasotti, Anita
2010
Complete weight enumerators of a family of three-weight linear codes. Zbl 1370.94578
Yang, Shudi; Yao, Zheng-An
2017
Optimal ternary linear codes. Zbl 0756.94008
Hill, Raymond; Newton, D. E.
1992
Linear codes using skew polynomials with automorphisms and derivations. Zbl 1302.94065
Boucher, D.; Ulmer, F.
2014
Perfect secret sharing schemes on five participants. Zbl 0868.94035
Jackson, Wen-Ai; Martin, Keith M.
1996
Optimal ternary quasi-cyclic codes. Zbl 0756.94010
Greenough, P. P.; Hill, Raymond
1992
Affine Cartesian codes. Zbl 1312.94118
López, Hiram H.; Rentería-Márquez, Carlos; Villarreal, Rafael H.
2014
Johnson type bounds on constant dimension codes. Zbl 1237.94151
Xia, Shu-Tao; Fu, Fang-Wei
2009
The state of elliptic curve cryptography. Zbl 0996.94032
Koblitz, Neal; Menezes, Alfred; Vanstone, Scott
2000
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
Systematic construction of $$q$$-analogs of $$t$$-$$(v,k,\lambda)$$-designs. Zbl 1055.05009
Braun, Michael; Kerber, Adalbert; Laue, Reinhard
2005
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
Almost MDS codes. Zbl 0913.94025
De Boer, Mario A.
1996
New semifields, PN and APN functions. Zbl 1269.12006
Bierbrauer, Jürgen
2010
A new characterization of semi-bent and bent functions on finite fields. Zbl 1172.11311
Khoo, Khoongming; Gong, Guang; Stinson, Douglas R.
2006
Complete weight enumerators of some cyclic codes. Zbl 1402.94102
Li, Chengju; Yue, Qin; Fu, Fang-Wei
2016
Almost perfect and planar functions. Zbl 1351.51004
Pott, Alexander
2016
The existence of Latin squares without orthogonal mates. Zbl 1180.05023
Wanless, Ian M.; Webb, Bridget S.
2006
Orthogonal partitions in designed experiments. Zbl 0877.05006
Bailey, R. A.
1996
T-functions revisited: new criteria for bijectivity/transitivity. Zbl 1338.94059
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina
2014
Binary codes of strongly regular graphs. Zbl 0938.05062
Haemers, Willem H.; Peeters, René; van Rijckevorsel, Jeroen M.
1999
MDS codes over finite principal ideal rings. Zbl 1178.94221
Dougherty, Steven T.; Kim, Jon-Lark; Kulosman, Hamid
2009
41 is the largest size of a cap in $$PG(4, 4)$$. Zbl 0935.51008
Edel, Yves; Bierbrauer, Jürgen
1999
Linear codes from simplicial complexes. Zbl 1408.94978
Chang, Seunghwan; Hyun, Jong Yoon
2018
Spreads in strongly regular graphs. Zbl 0870.05078
Haemers, Willem H.; Tonchev, Vladimir D.
1996
The correspondence between projective codes and 2-weight codes. Zbl 0872.94043
Brouwer, A. E.; van Eupen, M.
1997
On some methods for unconditionally secure key distribution and broadcast encryption. Zbl 0880.94009
Stinson, Doug R.
1997
Optimal normal bases. Zbl 0770.11055
Gao, Shuhong; Lenstra, Hendrik W. jun.
1992
On orthogonal double covers of graphs. Zbl 1001.05091
Gronau, Hans-Dietrich O. F.; Grüttmüller, Martin; Hartmann, Sven; Leck, Uwe; Leck, Volker
2002
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
The field descent method. Zbl 1066.05037
Leung, Ka Hin; Schmidt, Bernhard
2005
A construction of optimal constant composition codes. Zbl 1181.94126
Ding, Cunsheng; Yin, Jianxing
2006
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
2001
On the equivalence of linear sets. Zbl 1352.51003
Csajbók, Bence; Zanella, Corrado
2016
On the nonexistence of $$q$$-ary linear codes of dimension five. Zbl 0985.94036
Maruta, Tatsuya
2001
Primitive rank 3 groups on symmetric designs. Zbl 0972.05008
Dempwolff, U.
2001
Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041
Carlet, Claude
2011
Constructions of external difference families and disjoint difference families. Zbl 1182.05011
Chang, Yanxun; Ding, Cunsheng
2006
Geometric secret sharing schemes and their duals. Zbl 0794.94010
Jackson, Wen-Ai; Martin, Keith M.
1994
Existence of $$(q,6,1)$$ difference families with $$q$$ a prime power. Zbl 0912.05013
Chen, K.; Zhu, L.
1998
New MDS self-dual codes over finite fields. Zbl 1246.94049
Guenda, Kenza
2012
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
Extremal 1-codes in distance-regular graphs of diameter 3. Zbl 1245.05036
Jurišić, Aleksandar; Vidali, Janoš
2012
Obtaining a secure and efficient key agreement protocol from (H)MQV and NAXOS. Zbl 1178.94205
Ustaoglu, Berkant
2008
Entanglement-assisted quantum codes from arbitrary binary linear codes. Zbl 1330.81067
Qian, Jianfa; Zhang, Lina
2015
A class of minimal cyclic codes over finite fields. Zbl 1331.94074
Chen, Bocong; Liu, Hongwei; Zhang, Guanghui
2015
Computing isogenies between supersingular elliptic curves over $$\mathbb {F}_p$$. Zbl 1361.11044
Delfs, Christina; Galbraith, Steven D.
2016
Lattice attacks on digital signature schemes. Zbl 1006.94022
Howgrave-Graham, N. A.; Smart, N. P.
2001
Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers. Zbl 1263.11108
Ghorpade, Sudhir R.; Hasan, Sartaj Ul; Kumari, Meena
2011
A construction of maximally recoverable codes. Zbl 07500612
Barg, Alexander; Chen, Zitan; Tamo, Itzhak
2022
A note on “Cryptographically strong permutations from the butterfly structure”. Zbl 1485.94175
Li, Nian; Hu, Zhao; Xiong, Maosheng; Zeng, Xiangyong
2022
On the linearity and classification of $${\mathbb{Z}}_{p^s}$$-linear generalized Hadamard codes. Zbl 07500617
Bhunia, Dipak K.; Fernández-Córdoba, Cristina; Villanueva, Mercè
2022
Bent partitions. Zbl 07500619
Anbar, Nurdagül; Meidl, Wilfried
2022
Parameters and characterizations of hulls of some projective narrow-sense BCH codes. Zbl 1480.94036
Huang, Yuwen; Li, Chengju; Wang, Qi; Du, Zongrun
2022
MDS symbol-pair codes from repeated-root cyclic codes. Zbl 07459697
Ma, Junru; Luo, Jinquan
2022
Pseudo-embeddings and quadratic sets of quadrics. Zbl 1486.51006
De Bruyn, Bart; Gao, Mou
2022
LWE from non-commutative group rings. Zbl 1481.94090
Cheng, Qi; Zhang, Jun; Zhuang, Jincheng
2022
On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity. Zbl 07538364
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam; Lee, Sengsan; Jo, Myong Chol
2022
Cameron-Liebler $$k$$-sets in subspaces and non-existence conditions. Zbl 07494007
De Beule, Jan; Mannaert, Jonathan; Storme, Leo
2022
Uniqueness of the inversive plane of order sixty-four. Zbl 1487.51005
Penttila, Tim
2022
On the $$c$$-differential uniformity of certain maps over finite fields. Zbl 1469.94253
Hasan, Sartaj Ul; Pal, Mohit; Riera, Constanza; Stănică, Pantelimon
2021
Cryptographically strong permutations from the butterfly structure. Zbl 1469.94254
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang
2021
Scattered subspaces and related codes. Zbl 1469.51006
Zini, Giovanni; Zullo, Ferdinando
2021
Generalized isotopic shift construction for APN functions. Zbl 1458.94201
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene
2021
Characterization and classification of optimal LCD codes. Zbl 1477.94071
Araya, Makoto; Harada, Masaaki; Saito, Ken
2021
Some classes of power functions with low $$c$$-differential uniformity over finite fields. Zbl 1466.94042
Zha, Zhengbang; Hu, Lei
2021
LIGA: a cryptosystem based on the hardness of rank-metric list and interleaved decoding. Zbl 1468.94414
Renner, Julian; Puchinger, Sven; Wachter-Zeh, Antonia
2021
Twisted cubic and point-line incidence matrix in $$\operatorname{PG}(3,q)$$. Zbl 1473.51008
Davydov, Alexander A.; Marcugini, Stefano; Pambianco, Fernanda
2021
Differentially low uniform permutations from known 4-uniform functions. Zbl 1458.94220
Calderini, Marco
2021
Some constructions of quantum MDS codes. Zbl 1469.94125
Ball, Simeon
2021
Adaptively secure revocable hierarchical IBE from $$k$$-linear assumption. Zbl 1466.94025
Emura, Keita; Takayasu, Atsushi; Watanabe, Yohei
2021
Bent and $$\mathbb{Z}_{2^k}$$-bent functions from spread-like partitions. Zbl 1475.94219
Meidl, Wilfried; Pirsic, Isabel
2021
Common information, matroid representation, and secret sharing for matroid ports. Zbl 1481.94133
Bamiloshin, Michael; Ben-Efraim, Aner; Farràs, Oriol; Padró, Carles
2021
Steiner systems and configurations of points. Zbl 1486.51005
Ballico, Edoardo; Favacchio, Giuseppe; Guardo, Elena; Milazzo, Lorenzo
2021
A direct proof of APN-ness of the Kasami functions. Zbl 1473.11225
Carlet, Claude; Kim, Kwang Ho; Mesnager, Sihem
2021
Distance distributions of cyclic orbit codes. Zbl 1460.94086
Gluesing-Luerssen, Heide; Lehmann, Hunter
2021
Differential spectra of a class of power permutations with characteristic 5. Zbl 07362482
Yan, Haode; Li, Chengju
2021
Composite matrices from group rings, composite $$G$$-codes and constructions of self-dual codes. Zbl 1469.94130
Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin
2021
Good polynomials for optimal LRC of low locality. Zbl 1469.94127
Chen, Ruikai; Mesnager, Sihem; Zhao, Chang-An
2021
A family of projective two-weight linear codes. Zbl 1480.94035
Heng, Ziling; Li, Dexiang; Du, Jiao; Chen, Fuling
2021
Construction of MDS twisted Reed-Solomon codes and LCD MDS codes. Zbl 1486.94169
Liu, Hongwei; Liu, Shengwei
2021
On ideal homomorphic secret sharing schemes and their decomposition. Zbl 1472.94068
Ghasemi, Fatemeh; Kaboli, Reza; Khazaei, Shahram; Parviz, Maghsoud; Rafiei, Mohammad-Mahdi
2021
MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes. Zbl 07391566
Huang, Daitao; Yue, Qin; Niu, Yongfeng; Li, Xia
2021
Extended cyclic codes, maximal arcs and ovoids. Zbl 07405857
Abdukhalikov, Kanat; Ho, Duy
2021
Vectorial bent functions and partial difference sets. Zbl 1482.11161
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pirsic, Isabel
2021
Egalitarian Steiner triple systems for data popularity. Zbl 1473.05034
Colbourn, Charles J.
2021
Optimal binary LCD codes. Zbl 07411087
Bouyuklieva, Stefka
2021
A new method for secondary constructions of vectorial bent functions. Zbl 07411088
Bapić, A.; Pasalic, E.
2021
Linear complementary pairs of codes over rings. Zbl 07411090
Hu, Peng; Liu, Xiusheng
2021
Grassmannian codes from paired difference sets. Zbl 1482.42077
Fickus, Matthew; Iverson, Joseph W.; Jasper, John; King, Emily J.
2021
Fast, compact, and expressive attribute-based encryption. Zbl 1475.94171
Tomida, Junichi; Kawahara, Yuto; Nishimaki, Ryo
2021
New P$$c$$N and AP$$c$$N functions over finite fields. Zbl 1483.11263
Wu, Yanan; Li, Nian; Zeng, Xiangyong
2021
The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class. Zbl 1478.05012
Bonvicini, Simona; Buratti, Marco; Garonzi, Martino; Rinaldi, Gloria; Traetta, Tommaso
2021
Bounds for flag codes. Zbl 07424774
Kurz, Sascha
2021
Existence of primitive normal pairs with one prescribed trace over finite fields. Zbl 1481.11118
Sharma, Hariom; Sharma, R. K.
2021
A new rank metric for convolutional codes. Zbl 1456.15027
Almeida, P.; Napp, D.
2021
Improved upper bounds for parent-identifying set systems and separable codes. Zbl 1475.94203
Wang, Xin
2021
Evaluation codes and their basic parameters. Zbl 1456.14034
Jaramillo, Delio; Vaz Pinto, Maria; Villarreal, Rafael H.
2021
Low-rank parity-check codes over Galois rings. Zbl 07308515
Renner, Julian; Neri, Alessandro; Puchinger, Sven
2021
Greedy weights for matroids. Zbl 1458.05037
Johnsen, Trygve; Verdure, Hugues
2021
Classifying sets of class $$[1,q+1,2q+1,q^2+q+1]_2$$ in $$\mathrm{PG}(r, q)$$, $$r\ge 3$$. Zbl 1459.51003
Innamorati, Stefano; Zuanni, Fulvio
2021
An extending theorem for $$s$$-resolvable $$t$$-designs. Zbl 1471.05013
van Trung, Tran
2021
Generalized Hadamard full propelinear codes. Zbl 1467.94063
Armario, José Andrés; Bailera, Ivan; Egan, Ronan
2021
Roulette games and depths of words over finite commutative rings. Zbl 1470.91059
Sidana, Tania; Sharma, Anuradha
2021
Design-theoretic analogies between codes, lattices, and vertex operator algebras. Zbl 1469.17028
Miezaki, Tsuyoshi
2021
A note on Assmus-Mattson type theorems. Zbl 1469.94137
Miezaki, Tsuyoshi; Munemasa, Akihiro; Nakasora, Hiroyuki
2021
Traceable ring signatures: general framework and post-quantum security. Zbl 1466.94026
Feng, Hanwen; Liu, Jianwei; Li, Dawei; Li, Ya-Nan; Wu, Qianhong
2021
Binary Hamming codes and Boolean designs. Zbl 1466.05013
Falcone, Giovanni; Pavone, Marco
2021
The dual of an evaluation code. Zbl 1469.13057
López, Hiram H.; Soprunov, Ivan; Villarreal, Rafael H.
2021
Equivalence classes of Niho bent functions. Zbl 1472.51003
Abdukhalikov, Kanat
2021
Hamming weight distributions of multi-twisted codes over finite fields. Zbl 1476.94046
Chauhan, Varsha; Sharma, Anuradha; Sharma, Sandeep; Yadav, Monika
2021
Full classification of permutation rational functions and complete rational functions of degree three over finite fields. Zbl 1477.11196
Ferraguti, Andrea; Micheli, Giacomo
2020
Rank-metric codes, linear sets, and their duality. Zbl 1444.51002
Sheekey, John; Van de Voorde, Geertrui
2020
On the boomerang uniformity of quadratic permutations. Zbl 1465.94097
Mesnager, Sihem; Tang, Chunming; Xiong, Maosheng
2020
Do non-free LCD codes over finite commutative Frobenius rings exist? Zbl 1484.94022
Bhowmick, Sanjit; Fotue-Tabue, Alexandre; Martínez-Moro, Edgar; Bandi, Ramakrishna; Bagchi, Satya
2020
Linear codes with few weights from cyclotomic classes and weakly regular bent functions. Zbl 1448.94277
Wu, Yanan; Li, Nian; Zeng, Xiangyong
2020
Boomerang uniformity of popular S-box constructions. Zbl 1453.94118
Tian, Shizhu; Boura, Christina; Perrin, Léo
2020
New MDS self-dual codes over finite fields of odd characteristic. Zbl 1448.94259
Fang, Xiaolei; Lebed, Khawla; Liu, Hongwei; Luo, Jinquan
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
Random construction of partial MDS codes. Zbl 1454.94128
Neri, Alessandro; Horlemann-Trautmann, Anna-Lena
2020
$$\sigma$$-LCD codes over finite chain rings. Zbl 1444.94128
Liu, Xiusheng; Liu, Hualu
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
Cryptanalysis of a system based on twisted Reed-Solomon codes. Zbl 1455.94177
Lavauzelle, Julien; Renner, Julian
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 $$\ell$$-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
Linear codes over signed graphs. Zbl 1452.94117
Martínez-Bernal, José; Valencia-Bucio, Miguel A.; Villarreal, Rafael H.
2020
Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation. Zbl 1448.94202
Guillevic, Aurore; Masson, Simon; Thomé, Emmanuel
2020
Generalized related-key rectangle attacks on block ciphers with linear key schedule: applications to SKINNY and GIFT. Zbl 1448.94236
Zhao, Boxin; Dong, Xiaoyang; Meier, Willi; Jia, Keting; Wang, Gaoli
2020
A geometric approach to rank metric codes and a classification of constant weight codes. Zbl 1450.94053
Randrianarisoa, Tovohery Hajatiana
2020
Metrical properties of self-dual bent functions. Zbl 1477.94095
Kutsenko, Aleksandr
2020
Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes. Zbl 1454.94123
Ding, Cunsheng; Tang, Chunming; Tonchev, Vladimir D.
2020
A general framework for secondary constructions of bent and plateaued functions. Zbl 1465.94153
Hodžić, S.; Pasalic, E.; Wei, Y.
2020
Hamming and simplex codes for the sum-rank metric. Zbl 1476.94040
Martínez-Peñas, Umberto
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
Subgroup perfect codes in Cayley sum graphs. Zbl 1448.05153
Ma, Xuanlong; Feng, Min; Wang, Kaishun
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
Constructions of optimal locally recoverable codes via Dickson polynomials. Zbl 1465.94112
Liu, Jian; Mesnager, Sihem; Tang, Deng
2020
On the security of a Loidreau rank metric code based encryption scheme. Zbl 1453.94163
Coggia, Daniel; Couvreur, Alain
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 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
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
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
Wei-type duality theorems for rank metric codes. Zbl 07225543
Britz, Thomas; Mammoliti, Adam; Shiromoto, Keisuke
2020
On optimal weak algebraic manipulation detection codes and weighted external difference families. Zbl 1448.94247
Shao, Minfeng; Miao, Ying
2020
Constructing permutation arrays using partition and extension. Zbl 1480.05001
Bereg, Sergey; Mojica, Luis Gerardo; Morales, Linda; Sudborough, Hal
2020
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### Cited by 6,699 Authors

 75 Ge, Gennian 68 Storme, Leo 66 Bartoli, Daniele 63 Solé, Patrick 60 Fu, Fangwei 56 Yue, Qin 55 Zeng, Xiangyong 54 Cao, Xiwang 54 Mesnager, Sihem 53 Colbourn, Charles J. 53 Özbudak, Ferruh 51 Feng, Tao 49 Carlet, Claude 48 Shi, Minjia 48 Zhu, Shixin 47 Cossidente, Antonio 46 Chang, Yanxun 44 Dougherty, Steven T. 43 Ding, Cunsheng 43 Xiang, Qing 42 Shparlinski, Igor E. 41 Harada, Masaaki 41 Tonchev, Vladimir D. 39 De Bruyn, Bart 39 Ji, Lijun 39 Metsch, Klaus 38 Gulliver, Thomas Aaron 37 Abel, R. Julian R. 37 Marino, Giuseppe 37 Östergård, Patric R. J. 37 Tang, Chunming 35 Dinh, Hai Quang 35 Hu, Lei 35 Stănică, Pantelimon 35 Terwilliger, Paul M. 35 Van Maldeghem, Hendrik J. 34 Pambianco, Fernanda 34 Stinson, Douglas Robert 33 Cao, Yonglin 33 Helleseth, Tor 33 Marcugini, Stefano 33 Polverino, Olga 33 Qu, Longjiang 33 Zhou, Shenglin 32 Maruta, Tatsuya 32 Meidl, Wilfried 31 Lin, Dongdai 31 Ling, San 31 Yildiz, Bahattin 30 Liu, Zihui 30 Momihara, Koji 30 Pasalic, Enes 29 Jungnickel, Dieter 29 Pott, Alexander 29 Yin, Jianxing 28 Guenda, Kenza 28 Lavrauw, Michel 28 Leung, Ka Hin 27 Crnković, Dean 27 Pavese, Francesco 27 Winterhof, Arne 26 De Beule, Jan 26 Gao, Jian 26 Hou, Xiang-Dong 26 Krotov, Denis S. 26 Lee, Yoonjin 26 Li, Chao 26 Li, Chengju 26 Trombetti, Rocco 26 Van de Voorde, Geertrui 26 Zhou, Zhengchun 25 Davydov, Alexander A. 25 Key, Jennifer D. 25 Praeger, Cheryl Elisabeth 25 Wanless, Ian M. 24 Aydin, Nuh 24 Koolen, Jack H. 24 Liu, Hongwei 24 Siap, Irfan 24 Zhou, Junling 23 Bierbrauer, Jürgen 23 Cao, Yuan 23 Li, Chunlei 23 Thas, Joseph Adolphe 23 Wu, Dianhua 22 Buratti, Marco 22 Giulietti, Massimo 22 Jitman, Somphong 22 Kaya, Abidin 22 Padró, Carles 22 Penttila, Tim 22 Rodrigues, Bernardo Gabriel 22 Zanella, Corrado 21 Bennett, Frank E. 21 Chen, Zhixiong 21 Fernández-Córdoba, Cristina 21 Li, Ruihu 21 Qi, Wenfeng 21 Yang, Shudi 20 Bamberg, John ...and 6,599 more Authors
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### Cited in 414 Journals

 1,466 Designs, Codes and Cryptography 654 Discrete Mathematics 633 Finite Fields and their Applications 311 Cryptography and Communications 259 Journal of Combinatorial Theory. Series A 207 Advances in Mathematics of Communications 201 Discrete Applied Mathematics 153 Journal of Combinatorial Designs 152 Applicable Algebra in Engineering, Communication and Computing 148 Linear Algebra and its Applications 134 Journal of Algebraic Combinatorics 131 European Journal of Combinatorics 87 Theoretical Computer Science 82 The Electronic Journal of Combinatorics 71 Information Sciences 70 Information Processing Letters 69 Journal of Cryptology 68 Journal of Statistical Planning and Inference 67 Graphs and Combinatorics 64 Problems of Information Transmission 64 Mathematics of Computation 64 Journal of Geometry 61 Journal of Algebra 61 Journal of Applied Mathematics and Computing 61 Journal of Mathematical Cryptology 46 Journal of Pure and Applied Algebra 45 Journal of Number Theory 44 Journal of Discrete Mathematical Sciences & Cryptography 44 Discrete Mathematics, Algorithms and Applications 43 International Journal of Foundations of Computer Science 42 Applied Mathematics and Computation 42 Journal of Algebra and its Applications 38 Journal of Algebra, Combinatorics, Discrete Structures and Applications 37 Matematicheskie Voprosy Kriptografii 35 Journal of Systems Science and Complexity 33 Communications in Algebra 33 SIAM Journal on Discrete Mathematics 32 Quantum Information Processing 31 International Journal of Theoretical Physics 31 Journal of Symbolic Computation 29 Advances in Geometry 28 International Journal of Computer Mathematics 28 Science China. Mathematics 25 Prikladnaya Diskretnaya Matematika 24 Linear and Multilinear Algebra 24 Combinatorica 22 The Australasian Journal of Combinatorics 21 Mathematics in Computer Science 18 Wuhan University Journal of Natural Sciences (WUJNS) 18 Asian-European Journal of Mathematics 17 Journal of Combinatorial Theory. Series B 17 Proceedings of the American Mathematical Society 17 Computational and Applied Mathematics 17 Annals of Combinatorics 17 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 16 Transactions of the American Mathematical Society 16 Acta Mathematica Sinica. English Series 16 Ars Mathematica Contemporanea 15 Journal of the Franklin Institute 15 Journal of Complexity 15 Turkish Journal of Mathematics 15 Sibirskie Èlektronnye Matematicheskie Izvestiya 14 Bulletin of the Australian Mathematical Society 14 Bulletin of the Korean Mathematical Society 14 Information and Computation 13 Pattern Recognition 13 Journal of the Australian Mathematical Society 12 Journal of Mathematical Sciences (New York) 12 Mathematical Problems in Engineering 12 International Journal of Number Theory 12 Science China. Information Sciences 11 Computers & Mathematics with Applications 11 Advances in Mathematics 11 Journal of Computer and System Sciences 11 Transactions on Combinatorics 10 Israel Journal of Mathematics 10 Archiv der Mathematik 10 Monatshefte für Mathematik 10 Journal de Théorie des Nombres de Bordeaux 10 Discussiones Mathematicae. Graph Theory 10 Frontiers of Mathematics in China 10 Korean Journal of Mathematics 10 Algebraic Combinatorics 9 Indian Journal of Pure & Applied Mathematics 9 The Annals of Statistics 9 Applied Mathematics Letters 9 Journal of Statistical Theory and Practice 9 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 8 Periodica Mathematica Hungarica 8 Geometriae Dedicata 8 Results in Mathematics 8 Acta Mathematicae Applicatae Sinica. English Series 8 Cybernetics and Systems Analysis 8 Filomat 8 Journal of Applied Mathematics 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 International Journal of Quantum Information 7 IEEE Transactions on Information Theory 7 Algorithmica 7 Science in China. Series A ...and 314 more Journals
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### Cited in 55 Fields

 4,773 Information and communication theory, circuits (94-XX) 2,726 Combinatorics (05-XX) 2,039 Number theory (11-XX) 1,080 Geometry (51-XX) 619 Computer science (68-XX) 523 Algebraic geometry (14-XX) 492 Group theory and generalizations (20-XX) 252 Quantum theory (81-XX) 248 Field theory and polynomials (12-XX) 219 Linear and multilinear algebra; matrix theory (15-XX) 210 Order, lattices, ordered algebraic structures (06-XX) 161 Commutative algebra (13-XX) 110 Associative rings and algebras (16-XX) 102 Statistics (62-XX) 89 Operations research, mathematical programming (90-XX) 58 Numerical analysis (65-XX) 57 Convex and discrete geometry (52-XX) 56 Nonassociative rings and algebras (17-XX) 49 Special functions (33-XX) 46 Dynamical systems and ergodic theory (37-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 24 Biology and other natural sciences (92-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Probability theory and stochastic processes (60-XX) 16 Functional analysis (46-XX) 13 Approximations and expansions (41-XX) 13 Systems theory; control (93-XX) 12 Mathematical logic and foundations (03-XX) 11 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Abstract harmonic analysis (43-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Operator theory (47-XX) 6 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 General algebraic systems (08-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)