# zbMATH — the first resource for mathematics

## Advances in Mathematics of Communications

 Short Title: Adv. Math. Commun. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO; Shandong University, Jinan ISSN: 1930-5346; 1930-5338/e Online: http://aimsciences.org/journal/1930-5346 Comments: Indexed cover-to-cover
 Documents Indexed: 613 Publications (since 2007) References Indexed: 332 Publications with 7,365 References.
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#### Latest Issues

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#### Authors

 10 Dougherty, Steven T. 10 Harada, Masaaki 9 Mesnager, Sihem 8 Carlet, Claude 8 Drakakis, Konstantinos 8 Heden, Olof 8 Kiermaier, Michael 8 Storme, Leo 8 Zhou, Zhengchun 7 Bartoli, Daniele 7 Borges, Joaquim 7 Rodrigues, Bernardo Gabriel 7 Solé, Patrick 6 Climent, Joan-Josep 6 Gluesing-Luerssen, Heide 6 Jacobson, Michael John jun. 6 Key, Jennifer D. 6 Menezes, Alfred J. 6 Oggier, Frédérique E. 6 Özbudak, Ferruh 6 Rifà, Josep 6 Stinson, Douglas Robert 6 Tang, Xiaohu 6 Yildiz, Bahattin 5 Cao, Xiwang 5 Crnković, Dean 5 Davydov, Alexander A. 5 Firer, Marcelo 5 Fu, Fangwei 5 Giulietti, Massimo 5 Gong, Guang 5 Huffman, W. Cary 5 Jitman, Somphong 5 Kurz, Sascha 5 Marcugini, Stefano 5 Munuera, Carlos 5 Pambianco, Fernanda 5 Panario, Daniel 5 Peng, Daiyuan 5 Qu, Longjiang 5 Rickard, Scott T. 5 Rosenthal, Joachim 5 Stănică, Pantelimon 5 Tang, Chunming 5 Thériault, Nicolas 5 Torres, Fernando 4 Cohen, Gérard Denis 4 Ding, Jintai 4 Dinh, Hai Quang 4 Etzion, Tuvi 4 Fernández-Córdoba, Cristina 4 Gao, Jian 4 Gulliver, Thomas Aaron 4 Kaya, Abidin 4 Klapper, Andrew M. 4 Landzhev, Ivan Nikolov 4 Laue, Reinhard 4 Li, Chao 4 Ling, San 4 Pinto, Raquel 4 Pumplün, Susanne 4 Sarkar, Palash 4 Sarkar, Santanu 4 Scheidler, Renate 4 Sidorenko, Vladimir R. 4 Tirkel, Andrew Z. 4 Wassermann, Alfred 4 Willems, Wolfgang 4 Wu, Dianhua 4 Yang, Shudi 4 Yue, Qin 3 Aragona, Riccardo 3 Avanzi, Roberto Maria 3 Barg, Alexander M. 3 Biasse, Jean-François 3 Boucher, Delphine 3 Bouyuklieva, Stefka 3 Calderini, Marco 3 Cardell, Sara D. 3 Castro, Francis Noel 3 Charon, Irène 3 Deaton, Joshua 3 Fan, Cuiling 3 Fish, Washiela 3 Gildea, Joe 3 Gomez-Perez, Domingo 3 Gorla, Elisa 3 Guenda, Kenza 3 Heinlein, Daniel 3 Honold, Thomas 3 Hudry, Olivier 3 Jedwab, Jonathan 3 Kelley, Christine A. 3 Kim, Jon-Lark 3 Kim, Young Sik 3 Koblitz, Neal I. 3 Li, Chengju 3 Litsyn, Simon N. 3 Liu, Zihui 3 Lobstein, Antoine-Christophe ...and 835 more Authors
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#### Fields

 546 Information and communication theory, circuits (94-XX) 212 Number theory (11-XX) 121 Combinatorics (05-XX) 66 Algebraic geometry (14-XX) 47 Geometry (51-XX) 46 Computer science (68-XX) 25 Group theory and generalizations (20-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 14 Field theory and polynomials (12-XX) 14 Commutative algebra (13-XX) 14 Associative rings and algebras (16-XX) 11 Quantum theory (81-XX) 11 Operations research, mathematical programming (90-XX) 9 General and overarching topics; collections (00-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 4 Nonassociative rings and algebras (17-XX) 4 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

376 Publications have been cited 1,713 times in 1,262 Documents Cited by Year
A new family of linear maximum rank distance codes. Zbl 1348.94087
Sheekey, John
2016
A new almost perfect nonlinear function which is not quadratic. Zbl 1231.11140
Edel, Yves; Pott, Alexander
2009
Skew constacyclic codes over Galois rings. Zbl 1207.94085
Boucher, Delphine; Solé, Patrick; Ulmer, Felix
2008
Public key cryptography based on semigroup actions. Zbl 1194.94190
Maze, Gérard; Monico, Chris; Rosenthal, Joachim
2007
Skew constacyclic codes over finite chain rings. Zbl 1279.94146
Jitman, Somphong; Ling, San; Udomkavanich, Patanee
2012
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091
Carlet, Claude; Guilley, Sylvain
2016
A survey of perfect codes. Zbl 1274.94151
Heden, Olof
2008
Algebraic structures of MRD codes. Zbl 1348.94102
de la Cruz, Javier; Kiermaier, Michael; Wassermann, Alfred; Willems, Wolfgang
2016
New criteria for MRD and Gabidulin codes and some rank-metric code constructions. Zbl 1431.94151
Horlemann-Trautmann, Anna-Lena; Marshall, Kyle
2017
Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves. Zbl 1213.94136
Stolbunov, Anton
2010
Construction of skew cyclic codes over $$\mathbb F_q+v\mathbb F_q$$. Zbl 1300.94121
Gursoy, Fatmanur; Siap, Irfan; Yildiz, Bahattin
2014
Combinatorial batch codes. Zbl 1191.05030
Paterson, M. B.; Stinson, D. R.; Wei, R.
2009
On the order bounds for one-point AG codes. Zbl 1239.94084
Geil, Olav; Munuera, Carlos; Ruano, Diego; Torres, Fernando
2011
Linear nonbinary covering codes and saturating sets in projective spaces. Zbl 1229.94056
Davydov, Alexander A.; Giulietti, Massimo; Marcugini, Stefano; Pambianco, Fernanda
2011
Constacyclic codes of length $$np^s$$ over $$\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$$. Zbl 1414.94933
Cao, Yonglin; Cao, Yuan; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Jian; Sriboonchitta, Songsak
2018
Input-state-output representations and constructions of finite support 2D convolutional codes. Zbl 1213.94187
Napp, Diego; Perea, Carmen; Pinto, Raquel
2010
Discriminating codes in bipartite graphs: Bounds, extremal cardinalities, complexity. Zbl 1180.05055
Charbit, Emmanuel; Charon, Irène; Cohen, Gérard; Hudry, Olivier; Lobstein, Antoine
2008
Cyclic orbit codes and stabilizer subfields. Zbl 1361.94063
Gluesing-Luerssen, Heide; Morrison, Katherine; Troha, Carolyn
2015
Codes over $$\mathbb{Z}_{2^k}$$, Gray map and self-dual codes. Zbl 1238.94037
Dougherty, Steven T.; Fernández-Córdoba, Cristina
2011
Combinatorial batch codes and transversal matroids. Zbl 1290.05048
Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W.
2010
Derived and residual subspace designs. Zbl 1314.51002
Kiermaier, Michael; Laue, Reinhard
2015
On $$q$$-analogs of Steiner systems and covering designs. Zbl 1227.51005
Etzion, Tuvi; Vardy, Alexander
2011
Double circulant and quasi-twisted self-dual codes over $$\mathbb F_5$$ and $$\mathbb F_7$$. Zbl 1207.94071
Gulliver, T. Aaron; Harada, Masaaki; Miyabayashi, Hiroki
2007
Double-circulant and bordered-double-circulant constructions for self-dual codes over $$R_2$$. Zbl 1278.94073
2012
Geometric constructions of optimal optical orthogonal codes. Zbl 1155.94021
Alderson, T. L.; Mellinger, K. E.
2008
On the number of bent functions from iterative constructions: lower bounds and hypotheses. Zbl 1238.94032
Tokareva, Natalia
2011
Codes from the incidence matrices and line graphs of Hamming graphs $$H^k(n,2)$$ for $$k \geq 2$$. Zbl 1223.05165
Key, Jennifer D.; Fish, Washiela; Mwambene, Eric
2011
A review of the available construction methods for Golomb rulers. Zbl 1226.05057
Drakakis, Konstantinos
2009
New nearly optimal codebooks from relative difference sets. Zbl 1231.94004
Zhou, Zhengchun; Tang, Xiaohu
2011
$$(\sigma, \delta)$$-codes. Zbl 1283.94109
Boulagouaz, M’Hammed; Leroy, André
2013
Additive cyclic codes over $$\mathbb F_4$$. Zbl 1207.94080
Huffman, W. Cary
2008
Parameters of LCD BCH codes with two lengths. Zbl 1401.94223
Yan, Haode; Liu, Hao; Li, Chengju; Yang, Shudi
2018
Combinatorial batch codes: a lower bound and optimal constructions. Zbl 1244.05219
Bhattacharya, Srimanta; Ruj, Sushmita; Roy, Bimal
2012
Constructing strongly-MDS convolutional codes with maximum distance profile. Zbl 1348.94089
Napp, Diego; Smarandache, Roxana
2016
Some constacyclic codes over finite chain rings. Zbl 1361.94059
Batoul, Aicha; Guenda, Kenza; Gulliver, T. Aaron
2016
Graph-based classification of self-dual additive codes over finite fields. Zbl 1191.94110
Danielsen, Lars Eirik
2009
On the theory of $$\mathbb{F}_q$$-linear $$\mathbb{F}_{q^t}$$-codes. Zbl 1305.94118
Huffman, W. Cary
2013
Secondary constructions of bent functions and their enforcement. Zbl 1272.94017
Carlet, Claude; Zhang, Fengrong; Hu, Yupu
2012
Duality for some families of correction capability optimized evaluation codes. Zbl 1275.94048
Bras-Amorós, Maria; O’Sullivan, Michael E.
2008
On the dual of (non)-weakly regular bent functions and self-dual bent functions. Zbl 1329.94056
Çeşmelioǧlu, Ayça; Meidl, Wilfried; Pott, Alexander
2013
Partial permutation decoding for simplex codes. Zbl 1282.94089
Fish, Washiela; Key, Jennifer D.; Mwambene, Eric
2012
Gold and Kasami-Welch functions, quadratic forms, and bent functions. Zbl 1221.11237
Lahtonen, Jyrki; McGuire, Gary; Ward, Harold N.
2007
Castle curves and codes. Zbl 1196.94093
Munuera, Carlos; Sepúlveda, Alonso; Torres, Fernando
2009
Bounds for projective codes from semidefinite programming. Zbl 1317.94164
Bachoc, Christine; Passuello, Alberto; Vallentin, Frank
2013
Optimal batch codes: many items or low retrieval requirement. Zbl 1234.05006
Bujtás, Csilla; Tuza, Zsolt
2011
Structural properties of binary propelinear codes. Zbl 1260.94089
Borges, Joaquim; Mogilnykh, Ivan Yu.; Rifà, Josep; Solov’eva, Faina I.
2012
An algebraic approach for decoding spread codes. Zbl 1282.94105
Gorla, Elisa; Manganiello, Felice; Rosenthal, Joachim
2012
Existence of cyclic self-orthogonal codes: a note on a result of Vera Pless. Zbl 1350.94064
2012
Sets of zero-difference balanced functions and their applications. Zbl 1366.94466
Wang, Qi; Zhou, Yue
2014
Ideal forms of Coppersmith’s theorem and Guruswami-Sudan list decoding. Zbl 1355.65064
2015
New linear codes from matrix-product codes with polynomial units. Zbl 1213.94176
Hernando, Fernando; Ruano, Diego
2010
Efficient list decoding of a class of algebraic-geometry codes. Zbl 1222.94045
Beelen, Peter; Brander, Kristian
2010
On $$q$$-ary linear completely regular codes with $$\rho=2$$ and antipodal dual. Zbl 1213.94192
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor A.
2010
On the structure of non-full-rank perfect $$q$$-ary codes. Zbl 1252.94122
Heden, Olof; Krotov, Denis S.
2011
The minimum order of complete caps in $$PG(4,4)$$. Zbl 1223.51008
Bartoli, Daniele; Davydov, Alexander A.; Marcugini, Stefano; Pambianco, Fernanda
2011
The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes. Zbl 1205.05247
Feulner, Thomas
2009
On optimal ternary linear codes of dimension 6. Zbl 1250.94071
Maruta, Tatsuya; Oya, Yusuke
2011
Codes in spherical caps. Zbl 1198.94198
Barg, Alexander; Musin, Oleg R.
2007
A matrix ring description for cyclic convolutional codes. Zbl 1275.94046
2008
Error-block codes and poset metrics. Zbl 1275.94040
Alves, Marcelo Muniz S.; Panek, Luciano; Firer, Marcelo
2008
Quotients of orders in cyclic algebras and space-time codes. Zbl 1329.94104
Oggier, Frédérique; Sethuraman, B. A.
2013
Self-dual $$[62, 31, 12]$$ and $$[64, 32, 12]$$ codes with an automorphism of order 7. Zbl 1283.94116
Yankov, Nikolay
2014
The nonassociative algebras used to build fast-decodable space-time block codes. Zbl 1366.17002
Pumplün, Susanne; Steele, Andrew
2015
Algebraic structure of the minimal support codewords set of some linear codes. Zbl 1250.94066
Márquez-Corbella, Irene; Martínez-Moro, Edgar
2011
From skew-cyclic codes to asymmetric quantum codes. Zbl 1213.94190
Ezerman, Martianus Frederic; Ling, San; Solé, Patrick; Yemen, Olfa
2011
Codes from incidence matrices and line graphs of Paley graphs. Zbl 1219.05087
Ghinelli, Dina; Key, Jennifer D.
2011
Some two-weight and three-weight linear codes. Zbl 1415.94482
Li, Chengju; Bae, Sunghan; Yang, Shudi
2019
On skew polynomial codes and lattices from quotients of cyclic division algebras. Zbl 1352.94093
Ducoat, Jérôme; Oggier, Frédérique
2016
Codes over local rings of order 16 and binary codes. Zbl 1348.94079
Dougherty, Steven T.; Saltürk, Esengül; Szabo, Steve
2016
Construction of subspace codes through linkage. Zbl 1348.94106
2016
DNA cyclic codes over rings. Zbl 1357.94090
Bennenni, Nabil; Guenda, Kenza; Mesnager, Sihem
2017
On defining generalized rank weights. Zbl 1357.94082
Jurrius, Relinde; Pellikaan, Ruud
2017
Relative generalized Hamming weights of $$q$$-ary Reed-Muller codes. Zbl 1418.94073
Geil, Olav; Martin, Stefano
2017
Additive cyclic codes over $$\mathbb F_4$$. Zbl 1194.94199
Huffman, W. Cary
2007
Young subgroups for reversible computers. Zbl 1175.94129
De Vos, Alexis; Van Rentergem, Yvan
2008
Weierstrass semigroup and codes over the curve $$y^q + y = x^{q^r + 1}$$. Zbl 1300.14037
Sepúlveda, Alonso; Tizziotti, Guilherme
2014
A $$\mathbb Z_{4}$$-linear code of high minimum Lee distance derived from a hyperoval. Zbl 1252.94120
Kiermaier, Michael; Zwanzger, Johannes
2011
Infinite families of optimal splitting authentication codes secure against spoofing attacks of higher order. Zbl 1227.05110
Chee, Yeow Meng; Zhang, Xiande; Zhang, Hui
2011
On the spectrum for the genera of maximal curves over small fields. Zbl 1414.94949
Arakelian, Nazar; Tafazolian, Saeed; Torres, Fernando
2018
On self-dual MRD codes. Zbl 1348.94100
Nebe, Gabriele; Willems, Wolfgang
2016
Constructions and bounds for mixed-dimension subspace codes. Zbl 1402.94086
Honold, Thomas; Kiermaier, Michael; Kurz, Sascha
2016
Dual generalizations of the concept of cyclicity of codes. Zbl 1191.94122
López-Permouth, Sergio R.; Parra-Avila, Benigno R.; Szabo, Steve
2009
Subexponential time relations in the class group of large degree number fields. Zbl 1358.11125
Biasse, Jean-François
2014
Isometry and automorphisms of constant dimension codes. Zbl 1271.94036
Trautmann, Anna-Lena
2013
Self-orthogonal codes from orbit matrices of 2-designs. Zbl 1262.05010
Crnković, Dean; Rodrigues, Bernardo Gabriel; Rukavina, Sanja; Simčić, Loredana
2013
Some new distance-4 constant weight codes. Zbl 1248.94127
Brouwer, Andries E.; Etzion, Tuvi
2011
Space-time block codes from nonassociative division algebras. Zbl 1246.94038
Pumplün, Susanne; Unger, Thomas
2011
Cryptanalysis of a noncommutative key exchange protocol. Zbl 1361.94045
Micheli, Giacomo
2015
Some results on the structure of constacyclic codes and new linear codes over $$\mathrm{GF}(7)$$ from quasi-twisted codes. Zbl 1357.94089
Aydin, Nuh; Connolly, Nicholas; Grassl, Markus
2017
Finite nonassociative algebras obtained from skew polynomials and possible applications to $$(f,\sigma,\delta)$$-codes. Zbl 1418.17013
Pumplün, Susanne
2017
List decoding of matrix-product codes from nested codes: an application to quasi-cyclic codes. Zbl 1275.94042
Hernando, Fernando; Høholdt, Tom; Ruano, Diego
2012
Canonical- systematic form for codes in hierarchical poset metrics. Zbl 1260.94077
Felix, Luciano Viana; Firer, Marcelo
2012
Cycle structure of permutation functions over finite fields and their applications. Zbl 1272.12009
2012
Another look at generic groups. Zbl 1113.94005
Koblitz, Neal; Menezes, Alfred
2007
Double circulant codes from two class association schemes. Zbl 1107.94015
Dougherty, Steven T.; Kim, Jon-Lark; Solé, Patrick
2007
Duality theory for space-time codes over finite fields. Zbl 1275.94041
Grant, David; Varanasi, Mahesh K.
2008
Group convolutional codes. Zbl 1152.94008
Estrada, Sergio; García-Rozas, J. R.; Peralta, Justo; Sánchez-García, E.
2008
Special bent and near-bent functions. Zbl 1287.11140
Wolfmann, Jacques
2014
New upper bounds on codes via association schemes and linear programming. Zbl 1207.94087
Mounits, Beniamin; Etzion, Tuvi; Litsyn, Simon
2007
An extremal singly even self-dual code of length 88. Zbl 1207.94073
2007
Constructing self-dual codes from group rings and reverse circulant matrices. Zbl 1466.94049
Gildea, Joe; Korban, Adrian; Kaya, Abidin; Yildiz, Bahattin
2021
The singularity attack to the multivariate signature scheme HIMQ-3. Zbl 1464.94057
Ding, Jintai; Zhang, Zheng; Deaton, Joshua
2021
The differential spectrum of a class of power functions over finite fields. Zbl 1464.94039
Lei, Lei; Ren, Wenli; Fan, Cuiling
2021
Repeated-root constacyclic codes of length $$3 \ell^m p^s$$. Zbl 1437.94093
Liu, Yan; Shi, Minjia; Dinh, Hai Q.; Sriboonchitta, Songsak
2020
Some generalizations of good integers and their applications in the study of self-dual negacyclic codes. Zbl 07136838
2020
Efficient traceable ring signature scheme without pairings. Zbl 1455.94209
Gu, Ke; Dong, Xinying; Wang, Linyu
2020
Some results on $$\mathbb{Z}_p\mathbb{Z}_p[v]$$-additive cyclic codes. Zbl 07271222
Diao, Lingyu; Gao, Jian; Lu, Jiyong
2020
Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68. Zbl 07271230
Dougherty, Steven T.; Gildea, Joe; Korban, Adrian; Kaya, Abidin
2020
A complete classification of partial MDS (maximally recoverable) codes with one global parity. Zbl 07136840
Horlemann-Trautmann, Anna-Lena; Neri, Alessandro
2020
Two classes of differentially 4-uniform permutations over $$\mathbb{F}_{2^n}$$ with $$n$$ even. Zbl 07136842
Xu, Guangkui; Qu, Longjiang
2020
A note on the fast algebraic immunity and its consequences on modified majority functions. Zbl 07136843
Tang, Deng
2020
On polycyclic codes over a finite chain ring. Zbl 07239902
Fotue-Tabue, Alexandre; Martínez-Moro, Edgar; Blackford, J. Thomas
2020
Constructing 1-resilient rotation symmetric functions over $$\mathbb{F}_p$$ with $$q$$ variables through special orthogonal arrays. Zbl 1440.05049
Du, Jiao; Qu, Longjiang; Li, Chao; Liao, Xin
2020
Multi-point codes from the GGS curves. Zbl 1456.94136
Hu, Chuangqiang; Yang, Shudi
2020
Dual-Ouroboros: an improvement of the McNie scheme. Zbl 1437.94063
Gaborit, Philippe; Galvez, Lucky; Hauteville, Adrien; Kim, Jon-Lark; Kim, Myeong Jae; Kim, Young-Sik
2020
Quaternary group ring codes: ranks, kernels and self-dual codes. Zbl 1458.94325
Dougherty, Steven T.; Fernández-Córdoba, Cristina; Ten-Valls, Roger; Yildiz, Bahattin
2020
Designs from maximal subgroups and conjugacy classes of Ree groups. Zbl 07271226
Moori, Jamshid; Rodrigues, Bernardo G.; Saeidi, Amin; Zandi, Seiran
2020
Some group-theoretical results on Feistel networks in a long-key scenario. Zbl 1451.94027
Aragona, Riccardo; Calderini, Marco; Civino, Roberto
2020
Some two-weight and three-weight linear codes. Zbl 1415.94482
Li, Chengju; Bae, Sunghan; Yang, Shudi
2019
Wave-shaped round functions and primitive groups. Zbl 07024181
Aragona, Riccardo; Calderini, Marco; Civino, Roberto; Sala, Massimiliano; Zappatore, Ilaria
2019
Double circulant self-dual and LCD codes over Galois rings. Zbl 1407.94193
Shi, Minjia; Huang, Daitao; Sok, Lin; Solé, Patrick
2019
Landscape Boolean functions. Zbl 1419.94097
Riera, Constanza; Stănică, Pantelimon
2019
Cryptographically significant MDS matrices over finite fields: a brief survey and some generalized results. Zbl 1419.94038
Gupta, Kishan Chand; Pandey, Sumit Kumar; Ray, Indranil Ghosh; Samanta, Susanta
2019
New non-binary quantum codes from constacyclic codes over $$\mathbb{F}_q[u,v]/\langle u^{2}-1, v^{2}-v, uv-vu\rangle$$. Zbl 1443.94113
Ma, Fanghui; Gao, Jian; Fu, Fang-Wei
2019
A subspace code of size 333 in the setting of a binary $$q$$-analog of the Fano plane. Zbl 1422.51004
Heinlein, Daniel; Kiermaier, Michael; Kurz, Sascha; Wassermann, Alfred
2019
Embedding cover-free families and cryptographical applications. Zbl 1419.05040
Idalino, Thais Bardini; Moura, Lucia
2019
Revisiting design principles of Salsa and ChaCha. Zbl 1419.94035
Dey, Sabyasachi; Roy, Tapabrata; Sarkar, Santanu
2019
Self-dual additive $$\mathbb{F}_4$$-codes of lengths up to 40 represented by circulant graphs. Zbl 1452.94128
Saito, Ken
2019
Type-preserving matrices and security of block ciphers. Zbl 1452.94060
Aragona, Riccardo; Meneghetti, Alessio
2019
Constructions of optimal balanced $$(m, n, \{4, 5\}, 1)$$-OOSPCs. Zbl 1415.94489
Li, Wei; Zhao, Hengming; Qin, Rongcun; Wu, Dianhua
2019
A conjecture on permutation trinomials over finite fields of characteristic two. Zbl 1415.05004
Li, Nian; Hu, Qiaoyu
2019
Optimal information ratio of secret sharing schemes on Dutch windmill graphs. Zbl 1405.94099
Bagherpour, Bagher; Janbaz, Shahrooz; Zaghian, Ali
2019
Maximum weight spectrum codes. Zbl 1405.94105
Alderson, Tim; Neri, Alessandro
2019
Cyclic DNA codes over $$\mathbb{F}_2[u,v]/\langle u^3,v^2-v,vu-uv\rangle$$. Zbl 1405.94124
Shi, Minjia; Lu, Yaqi
2019
Constacyclic codes of length $$np^s$$ over $$\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$$. Zbl 1414.94933
Cao, Yonglin; Cao, Yuan; Dinh, Hai Q.; Fu, Fang-Wei; Gao, Jian; Sriboonchitta, Songsak
2018
Parameters of LCD BCH codes with two lengths. Zbl 1401.94223
Yan, Haode; Liu, Hao; Li, Chengju; Yang, Shudi
2018
On the spectrum for the genera of maximal curves over small fields. Zbl 1414.94949
Arakelian, Nazar; Tafazolian, Saeed; Torres, Fernando
2018
Locally recoverable codes with availability $$t\geq 2$$ from fiber products of curves. Zbl 1414.94950
Haymaker, Kathryn; Malmskog, Beth; Matthews, Gretchen L.
2018
On some classes of codes with a few weights. Zbl 1414.94927
Liu, Yiwei; Liu, Zihui
2018
Singleton bounds for $$R$$-additive codes. Zbl 1414.94929
2018
Completely regular codes by concatenating Hamming codes. Zbl 1414.94943
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2018
A note on some algebraic trapdoors for block ciphers. Zbl 1401.94140
Calderini, Marco
2018
Power decoding Reed-Solomon codes up to the Johnson radius. Zbl 1414.94952
Rosenkilde, Johan
2018
The results on optimal values of some combinatorial batch codes. Zbl 1417.94116
Shen, Yuebo; Jia, Dongdong; Zhang, Gengsheng
2018
Computing discrete logarithms in cryptographically-interesting characteristic-three finite fields. Zbl 1402.94049
Adj, Gora; Canales-Martínez, Isaac; Cruz-Cortés, Nareli; Menezes, Alfred; Oliveira, Thomaz; Rivera-Zamarripa, Luis; Rodríguez-Henríquez, Francisco
2018
On $$k$$-error linear complexity of pseudorandom binary sequences derived from Euler quotients. Zbl 1402.94047
Chen, Zhixiong; Edemskiy, Vladimir; Ke, Pinhui; Wu, Chenhuang
2018
Binary subspace codes in small ambient spaces. Zbl 1402.94085
Heinlein, Daniel; Kurz, Sascha
2018
On erasure combinatorial batch codes. Zbl 1402.94114
Jung, Ji Yoon; Mummert, Carl; Niese, Elizabeth; Schroeder, Michael
2018
Construction of optimal low-hit-zone frequency hopping sequence sets under periodic partial Hamming correlation. Zbl 1414.94907
Zhou, Limengnan; Peng, Daiyuan; Han, Hongyu; Liang, Hongbin; Ma, Zheng
2018
Generalized nonlinearity of $$S$$-boxes. Zbl 1414.94912
Gangopadhyay, Sugata; Paul, Goutam; Sinha, Nishant; Stǎnicǎ, Pantelimon
2018
Trace description and Hamming weights of irreducible constacyclic codes. Zbl 1414.94940
2018
On $$\mathbb{Z}_{p^r}\mathbb{Z}_{p^s}$$-additive cyclic codes. Zbl 1414.94923
Borges, Joaquim; Fernández-Córdoba, Cristina; Ten-Valls, Roger
2018
Reduced access structures with four minimal qualified subsets on six participants. Zbl 1414.94921
Gharahi, Motahhareh; Khazaei, Shahram
2018
Further results on the existence of super-simple pairwise balanced designs with block sizes 3 and 4. Zbl 1401.05048
Chen, Guangzhou; Guo, Yue; Zhang, Yong
2018
The weight distribution of quasi-quadratic residue codes. Zbl 1414.94932
Boston, Nigel; Hao, Jing
2018
The average dimension of the Hermitian hull of constacyclic codes over finite fields of square order. Zbl 1401.94229
Jitman, Somphong; Sangwisut, Ekkasit
2018
Architecture-aware coding for distributed storage: repairable block failure resilient codes. Zbl 1401.94093
Calis, Gokhan; Koyluoglu, O. Ozan
2018
Characterization of extended Hamming and Golay codes as perfect codes in poset block spaces. Zbl 1402.94082
Dass, B. K.; Sharma, Namita; Verma, Rashmi
2018
Bent and vectorial bent functions, partial difference sets, and strongly regular graphs. Zbl 1417.94129
Çeşmelioğlu, Ayça; Meidl, Wilfried
2018
A class of skew-cyclic codes over $$\mathbb{Z}_4+u\mathbb{Z}_4$$ with derivation. Zbl 1402.94093
Sharma, Amit; Bhaintwal, Maheshanand
2018
Efficient decoding of interleaved subspace and Gabidulin codes beyond their unique decoding radius using Gröbner bases. Zbl 1402.94120
Bartz, Hannes; Wachter-Zeh, Antonia
2018
New criteria for MRD and Gabidulin codes and some rank-metric code constructions. Zbl 1431.94151
Horlemann-Trautmann, Anna-Lena; Marshall, Kyle
2017
DNA cyclic codes over rings. Zbl 1357.94090
Bennenni, Nabil; Guenda, Kenza; Mesnager, Sihem
2017
On defining generalized rank weights. Zbl 1357.94082
Jurrius, Relinde; Pellikaan, Ruud
2017
Relative generalized Hamming weights of $$q$$-ary Reed-Muller codes. Zbl 1418.94073
Geil, Olav; Martin, Stefano
2017
Some results on the structure of constacyclic codes and new linear codes over $$\mathrm{GF}(7)$$ from quasi-twisted codes. Zbl 1357.94089
Aydin, Nuh; Connolly, Nicholas; Grassl, Markus
2017
Finite nonassociative algebras obtained from skew polynomials and possible applications to $$(f,\sigma,\delta)$$-codes. Zbl 1418.17013
Pumplün, Susanne
2017
Self-dual codes with an automorphism of order 13. Zbl 1418.94079
Yankov, Nikolay; Anev, Damyan; Gürel, Müberra
2017
Some designs and codes invariant under the Tits group. Zbl 1357.05019
Moori, Jamshid; Saeidi, Amin
2017
Cyclic codes over local Frobenius rings of order 16. Zbl 1357.94091
Dougherty, Steven T.; Kaya, Abidin; Saltürk, Esengül
2017
On constructions of bent, semi-bent and five valued spectrum functions from old bent functions. Zbl 1408.94950
Mesnager, Sihem; Zhang, Fengrong
2017
Minimum dimensional Hamming embeddings. Zbl 1362.94014
D&rsquo;Oliveira, Rafael G. L.; Firer, Marcelo
2017
Cycle structure of iterating Rédei functions. Zbl 1361.11081
Qureshi, Claudio; Panario, Daniel; Martins, Rodrigo
2017
On the arithmetic autocorrelation of the Legendre sequence. Zbl 1357.94055
Hofer, Richard; Winterhof, Arne
2017
Certain sextics with many rational points. Zbl 1391.11080
Kawakita, Motoko Qiu
2017
Explicit constructions of bent functions from pseudo-planar functions. Zbl 1404.94032
Abdukhalikov, Kanat; Mesnager, Sihem
2017
Explicit formulas for monomial involutions over finite fields. Zbl 1362.11101
Castro, Francis N.; Corrada-Bravo, Carlos; Pacheco-Tallaj, Natalia; Rubio, Ivelisse
2017
Reversible DNA codes over $$F_{16}+uF_{16}+vF_{16}+uvF_{16}$$. Zbl 1362.94067
Gursoy, Fatmanur; Oztas, Elif Segah; Siap, Irfan
2017
On construction of bent functions involving symmetric functions and their duals. Zbl 1408.94951
Mesnager, Sihem; Zhang, Fengrong; Zhou, Yong
2017
Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: the Gold case. Zbl 1365.14035
2017
On primitive constant dimension codes and a geometrical sunflower bound. Zbl 1387.94135
Barrolleta, Roland D.; Suárez-Canedo, Emilio; Storme, Leo; Vandendriessche, Peter
2017
On the performance of optimal double circulant even codes. Zbl 1386.94103
2017
More constructions of near optimal codebooks associated with binary sequences. Zbl 1357.94080
Cao, Xiwang; Chou, Wun-Seng; Zhang, Xiyong
2017
Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields. Zbl 1418.94086
Sangwisut, Ekkasit; Jitman, Somphong; Udomkavanich, Patanee
2017
Arrays composed from the extended rational cycle. Zbl 1404.94151
Gomez-Perez, Domingo; Gomez, Ana-Isabel; Tirkel, Andrew
2017
On the covering radius of some binary cyclic codes. Zbl 1362.94065
Arce-Nazario, Rafael; Castro, Francis N.; Ortiz-Ubarri, Jose
2017
Modular lattices from a variation of construction A over number fields. Zbl 1439.11158
Oggier, Frédérique; Hou, Xiaolu
2017
On the classification of $$\mathbb{Z}_4$$-codes. Zbl 1386.94100
Araya, Makoto; Harada, Masaaki; Ito, Hiroki; Saito, Ken
2017
Quadratic residue codes over $$\mathbb{F}_{p^r}+{u_1}\mathbb{F}_{p^r}+{u_2}\mathbb{F}_{p^r}+\dots+{u_t}\mathbb{F}_ {p^r}$$. Zbl 1386.94106
Samei, Karim; Soufi, Arezoo
2017
Three basic questions on Boolean functions. Zbl 1425.94089
Carlet, Claude; Feukoua, Serge
2017
New almost perfect, odd perfect, and perfect sequences from difference balanced functions with $$d$$-form property. Zbl 1357.94060
Yang, Yang; Tang, Xiaohu; Gong, Guang
2017
Generalized Hamming weights of codes over the $$\mathcal{GH}$$ curve. Zbl 1360.94429
Sepúlveda Castellanos, Alonso
2017
Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques. Zbl 1357.94058
Liu, Xing; Peng, Daiyuan
2017
Information retrieval and the average number of input clues. Zbl 1404.68039
Laihonen, Tero
2017
Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. Zbl 1431.11141
Galbraith, Steven; Wang, Ping; Zhang, Fangguo
2017
The weight distributions of constacyclic codes. Zbl 1418.94085
Li, Fengwei; Yue, Qin; Liu, Fengmei
2017
Generalized bent functions – sufficient conditions and related constructions. Zbl 1418.94091
Hodžić, Samir; Pasalic, Enes
2017
A new family of linear maximum rank distance codes. Zbl 1348.94087
Sheekey, John
2016
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091
Carlet, Claude; Guilley, Sylvain
2016
Algebraic structures of MRD codes. Zbl 1348.94102
de la Cruz, Javier; Kiermaier, Michael; Wassermann, Alfred; Willems, Wolfgang
2016
...and 276 more Documents
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#### Cited by 1,396 Authors

 25 Bartoli, Daniele 24 Dinh, Hai Quang 23 Dougherty, Steven T. 20 Solé, Patrick 19 Cao, Yonglin 19 Fu, Fangwei 17 Cao, Yuan 17 Kaya, Abidin 17 Marcugini, Stefano 17 Pambianco, Fernanda 16 Cao, Xiwang 16 Napp, Diego 16 Yildiz, Bahattin 15 Carlet, Claude 14 Gulliver, Thomas Aaron 14 Martínez-Moro, Edgar 13 Guenda, Kenza 13 Kiermaier, Michael 13 Özbudak, Ferruh 13 Pinto, Raquel 13 Zullo, Ferdinando 12 Davydov, Alexander A. 12 Harada, Masaaki 12 Jitman, Somphong 12 Shi, Minjia 11 Faina, Giorgio 11 Gluesing-Luerssen, Heide 11 Pumplün, Susanne 11 Yue, Qin 10 Aydin, Nuh 10 Climent, Joan-Josep 10 Csajbók, Bence 10 Fernández-Córdoba, Cristina 10 Key, Jennifer D. 10 Krotov, Denis S. 10 Montanucci, Maria 10 Ravagnani, Alberto 10 Rodrigues, Bernardo Gabriel 10 Ruano, Diego 10 Torres, Fernando 10 Villanueva, Mercè 9 Foucaud, Florent 9 Giulietti, Massimo 9 Maruta, Tatsuya 9 Meidl, Wilfried 9 Pasalic, Enes 9 Qu, Longjiang 9 Zini, Giovanni 8 Borges, Joaquim 8 Gildea, Joe 8 Honold, Thomas 8 Marino, Giuseppe 8 Mesnager, Sihem 8 Mogilnykh, Ivan Yurevich 8 Polverino, Olga 8 Siap, Irfan 8 Sriboonchitta, Songsak 8 Wassermann, Alfred 8 Zhang, Fengrong 8 Zhou, Yue 8 Zhu, Shixin 7 Bag, Tushar 7 Calderini, Marco 7 Crnković, Dean 7 Fish, Washiela 7 Geil, Olav 7 Gómez Torrecillas, José 7 Gorla, Elisa 7 Heden, Olof 7 Karadeniz, Suat 7 Kim, Jon-Lark 7 Kurz, Sascha 7 Lee, Yoonjin 7 Li, Chao 7 Liu, Hongwei 7 Lobillo, Francisco Javier 7 Mwambene, Eric 7 Navarro, Gabriel 7 Panario, Daniel 7 Rifà, Josep 7 Samei, Karim 7 Tan, Chik How 7 Xu, Guangkui 6 Braun, Michael 6 Çengellenmiş, Yasemin 6 Çeşmelioğlu, Ayça 6 Chang, Yanxun 6 Dass, Bal Kishan 6 Dertli, Abdullah 6 Etzion, Tuvi 6 Galindo Pastor, Carlos 6 Gao, Jian 6 Horlemann-Trautmann, Anna-Lena 6 Hu, Lei 6 Korban, Adrian 6 La Guardia, Giuliano Gadioli 6 Landzhev, Ivan Nikolov 6 Li, Chengju 6 Ling, San 6 Liu, Zihui ...and 1,296 more Authors
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#### Cited in 160 Journals

 230 Designs, Codes and Cryptography 121 Finite Fields and their Applications 120 Advances in Mathematics of Communications 84 Discrete Mathematics 65 Cryptography and Communications 45 Applicable Algebra in Engineering, Communication and Computing 32 Linear Algebra and its Applications 27 Discrete Applied Mathematics 19 Journal of Algebra and its Applications 16 Journal of Pure and Applied Algebra 15 Problems of Information Transmission 15 Journal of Combinatorial Theory. Series A 14 European Journal of Combinatorics 14 Discrete Mathematics, Algorithms and Applications 13 Journal of Symbolic Computation 13 Journal of Applied Mathematics and Computing 13 Journal of Algebra, Combinatorics, Discrete Structures and Applications 11 Communications in Algebra 10 Journal of Geometry 10 SIAM Journal on Discrete Mathematics 10 Journal of Algebraic Combinatorics 10 Journal of Combinatorial Designs 9 Mathematics of Computation 8 Bulletin of the Korean Mathematical Society 8 Journal of Mathematical Cryptology 8 Asian-European Journal of Mathematics 8 Science China. Mathematics 7 Journal of Algebra 7 Journal of Number Theory 7 Theoretical Computer Science 7 International Journal of Foundations of Computer Science 7 Mathematics in Computer Science 6 Information Processing Letters 6 Graphs and Combinatorics 6 The Electronic Journal of Combinatorics 6 Prikladnaya Diskretnaya Matematika 5 Bulletin of the Australian Mathematical Society 5 Information Sciences 5 International Journal of Computer Mathematics 4 Computational and Applied Mathematics 4 Quantum Information Processing 3 International Journal of Theoretical Physics 3 Journal of the Franklin Institute 3 Linear and Multilinear Algebra 3 Semigroup Forum 3 Forum Mathematicum 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 Advances in Geometry 3 Journal of Systems Science and Complexity 3 Ars Mathematica Contemporanea 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Open Mathematics 2 Applied Mathematics and Computation 2 Glasgow Mathematical Journal 2 Revista Colombiana de Matemáticas 2 Combinatorica 2 Algorithmica 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Vietnam Journal of Mathematics 2 Journal of Combinatorial Optimization 2 Annals of Combinatorics 2 LMS Journal of Computation and Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Discrete Algorithms 2 International Journal of Quantum Information 2 International Journal of Biomathematics 2 International Journal of Combinatorics 2 Science China. Information Sciences 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Iranian Journal of Mathematical Sciences and Informatics 2 Transactions on Combinatorics 2 Journal of Mathematics 2 European Journal of Mathematics 2 Korean Journal of Mathematics 1 Acta Informatica 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Computing 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of Graph Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Mathematica Slovaca 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society ...and 60 more Journals
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#### Cited in 42 Fields

 980 Information and communication theory, circuits (94-XX) 416 Number theory (11-XX) 279 Combinatorics (05-XX) 113 Algebraic geometry (14-XX) 112 Geometry (51-XX) 77 Computer science (68-XX) 63 Associative rings and algebras (16-XX) 56 Group theory and generalizations (20-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 46 Quantum theory (81-XX) 39 Commutative algebra (13-XX) 31 Field theory and polynomials (12-XX) 14 Nonassociative rings and algebras (17-XX) 14 Operations research, mathematical programming (90-XX) 9 Convex and discrete geometry (52-XX) 8 Numerical analysis (65-XX) 7 Statistics (62-XX) 6 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 General algebraic systems (08-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)