Applicable Algebra in Engineering, Communication and Computing

 Short Title: Appl. Algebra Eng. Commun. Comput. Publisher: Springer, Berlin/Heidelberg ISSN: 0938-1279; 1432-0622/e Online: http://link.springer.com/journal/volumesAndIssues/200 Comments: Indexed cover-to-cover
 Documents Indexed: 869 Publications (since 1990) References Indexed: 647 Publications with 13,693 References.
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Latest Issues

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Authors

 11 Dougherty, Steven T. 11 Niederreiter, Harald 11 Shparlinski, Igor E. 10 Cao, Yonglin 10 Fu, Fangwei 9 Mora, Teo 9 Sendra, Juan Rafael 8 Gulliver, Thomas Aaron 8 Hu, Lei 8 van der Hoeven, Joris 7 Cao, Yuan 7 Norton, Graham H. 7 Real, Pedro 7 Sala, Massimiliano 7 Tang, Chunming 6 Harada, Masaaki 6 Schicho, Josef 6 Solé, Patrick 6 Winterhof, Arne 6 Zeng, Xiangyong 5 Cao, Xiwang 5 Grigor’ev, Dmitriĭ Yur’evich 5 Litsyn, Simon N. 5 Qi, Yanfeng 5 Sáenz de Cabezón Irigaray, Eduardo 5 Seiler, Werner M. 5 Zheng, Dabin 4 Blake, Ian F. 4 Caboara, Massimo 4 Ceria, Michela 4 Du, Xiaoni 4 Elia, Michele 4 Fitzpatrick, Patrick 4 Gao, Yun 4 Guenda, Kenza 4 Kim, Jon-Lark 4 Lecerf, Grégoire 4 Liu, Hongwei 4 Meidl, Wilfried 4 Mullen, Gary L. 4 Özbudak, Ferruh 4 Pardo, Luis Miguel 4 Recio, Tomas 4 Rentería-Márquez, Carlos 4 Ronse, Christian 4 Schost, Éric 4 Scott, Tony C. 4 Solernó, Pablo 4 Stănică, Pantelimon 4 Steinwandt, Rainer 4 Udaya, Parampalli 4 Ulmer, Felix 4 Yue, Qin 4 Zantema, Hans 3 Aragona, Riccardo 3 Assi, Abdallah 3 Aydin, Nuh 3 Barkatou, Moulay A. 3 Beth, Thomas 3 Bhaintwal, Maheshanand 3 Camion, Paul F. 3 Clausen, Michael 3 Cluzeau, Thomas 3 de Graaf, Willem Adriaan 3 Ellis, Graham J. 3 Esmaeili, Morteza 3 Gao, Jian 3 Geser, Alfons 3 Giesl, Jürgen 3 Göbel, Manfred 3 Godoy, Guillem 3 González Sarabia, Manuel 3 Hachenberger, Dirk 3 Hansen, Johan P. 3 Heintz, Joos 3 Honkala, Iiro S. 3 Ivanyos, Gábor 3 Jüttler, Bert 3 Key, Jennifer D. 3 Marinari, Maria Grazia 3 Menezes, Alfred J. 3 Mignotte, Maurice 3 Mouaha, Christophe 3 Ollivier, François 3 Östergård, Patric R. J. 3 Ponomarenko, Ilya Nikolaevich 3 Rodrigues, Bernardo Gabriel 3 Rónyai, Lajos 3 Rötteler, Martin 3 Sendra, Juana 3 Shaska, Tanush 3 Siddiqi, Mohammad Umar 3 Tan, Chik How 3 Tang, Miao 3 Tarnanen, Hannu 3 Tietäväinen, Aimo A. 3 Vega, Gerardo 3 Villarino, Carlos 3 von zur Gathen, Joachim 3 Weispfenning, Volker ...and 1,155 more Authors
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Fields

 400 Information and communication theory, circuits (94-XX) 248 Number theory (11-XX) 241 Computer science (68-XX) 121 Commutative algebra (13-XX) 120 Algebraic geometry (14-XX) 76 Field theory and polynomials (12-XX) 66 Group theory and generalizations (20-XX) 60 Combinatorics (05-XX) 57 Numerical analysis (65-XX) 40 Associative rings and algebras (16-XX) 23 Mathematical logic and foundations (03-XX) 19 Algebraic topology (55-XX) 18 Ordinary differential equations (34-XX) 18 Geometry (51-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Quantum theory (81-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 13 General and overarching topics; collections (00-XX) 11 Operations research, mathematical programming (90-XX) 10 Convex and discrete geometry (52-XX) 9 Special functions (33-XX) 9 Systems theory; control (93-XX) 8 Nonassociative rings and algebras (17-XX) 7 Approximations and expansions (41-XX) 6 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

Citations contained in zbMATH Open

617 Publications have been cited 4,225 times in 3,354 Documents Cited by Year
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Reed-Muller codes on complete intersections. Zbl 1076.94043
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Testing reducibility of linear differential operators: A group theoretic perspective. Zbl 0999.12007
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Effective algorithms for parametrizing linear control systems over Ore algebras. Zbl 1109.93018
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Refutational theorem proving for hierarchic first-order theories. Zbl 0797.03008
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Kovacic’s algorithm and its application to some families of special functions. Zbl 0785.12003
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Some power mappings with low differential uniformity. Zbl 0886.11067
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Matrix-product codes over $$\mathbb{F}_q$$. Zbl 1004.94034
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Group codes on certain algebraic curves with many rational points. Zbl 0723.94007
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Linkage and codes on complete intersections. Zbl 1039.94014
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A combinatorial approach to involution and $$\delta$$-regularity. II: Structure analysis of polynomial modules with Pommaret bases. Zbl 1175.13011
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Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135
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Generalized quasi-cyclic codes: Structural properties and code construction. Zbl 1173.94453
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Constrained principal component analysis: A comprehensive theory. Zbl 1040.62050
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Primitive normal bases with prescribed trace. Zbl 0931.12002
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Completeness results for basic narrowing. Zbl 0810.68088
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Formulae for arithmetic on genus 2 hyperelliptic curves. Zbl 1068.14065
Lange, Tanja
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The minimum distance of parameterized codes on projective tori. Zbl 1271.13054
Sarmiento, Eliseo; Vaz Pinto, Maria; Villarreal, Rafael H.
2011
Combinatorial group theory and public key cryptography. Zbl 1104.94038
2006
On quasi-cyclic codes over $${\mathbb{Z}_q}$$. Zbl 1178.94216
Bhaintwal, Maheshanand; Wasan, Siri Krishan
2009
Generalized sufficient conditions for modular termination of rewriting. Zbl 0810.68085
Gramlich, Bernhard
1994
Toric codes over finite fields. Zbl 1092.94031
Joyner, David
2004
Toric varieties, Hirzebruch surfaces and error-correcting codes. Zbl 1043.94022
Hansen, Johan P.
2002
Lower bounds for arithmetic networks. Zbl 0769.68055
Montaña, J. L.; Pardo, L. M.
1993
Structural properties and enumeration of quasi cyclic codes. Zbl 0774.94007
Conan, Jean; Séguin, Gérald
1993
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
2010
On the time-space complexity of geometric elimination procedures. Zbl 0977.68101
Heintz, Joos; Matera, Guillermo; Waissbein, Ariel
2001
A new efficient factorization algorithm for polynomials over small finite fields. Zbl 0776.11070
Niederreiter, Harald
1993
Cryptanalysis of RSA with small prime difference. Zbl 1010.94007
de Weger, Benne
2002
Bounds of traces in complete intersections and degrees in the Nullstellensatz. Zbl 0844.14018
Sabia, Juan; Solernó, Pablo
1995
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
2013
A combinatorial approach to involution and $$\delta$$-regularity. I: Involutive bases in polynomial algebras of solvable type. Zbl 1175.13012
Seiler, Werner M.
2009
Cryptanalysis of ‘less short’ RSA secret exponents. Zbl 0882.94026
Verheul, Eric R.; van Tilborg, Henk C. A.
1997
The middle product algorithm. I: Speeding up the division and square root of power series. Zbl 1064.68094
Hanrot, Guillaume; Quercia, Michel; Zimmermann, Paul
2004
Metacyclic error-correcting codes. Zbl 0823.94017
Sabin, Roberta Evans; Lomonaco, Samuel J.
1995
On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055
Shparlinski, Igor E.
2000
Orders of Gauss periods in finite fields. Zbl 0931.11057
von zur Gathen, Joachim; Shparlinski, Igor
1998
Necessary conditions for Liouvillian solutions of (third order) linear differential equations. Zbl 0813.12003
Singer, Michael F.; Ulmer, Felix
1995
Construction of cyclic codes over $$\mathbb F_2 + u\mathbb F_2$$ for DNA computing. Zbl 1283.94131
Guenda, Kenza; Gulliver, T. Aaron
2013
On some block ciphers and imprimitive groups. Zbl 1178.94183
Caranti, A.; Dalla Volta, F.; Sala, M.
2009
Properness and inversion of rational parametrizations of surfaces. Zbl 0993.14022
Pérez-Díaz, Sonia; Schicho, Josef; Sendra, J. Rafael
2002
An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. Zbl 0867.65034
Barkatou, M. A.
1997
On necessary and sufficient conditions for differential flatness. Zbl 1239.93027
Lévine, Jean
2011
Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients. Zbl 0923.35042
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1995
Effective Łojasiewicz inequalities in semialgebraic geometry. Zbl 0754.14035
Solernó, Pablo
1991
Explicit factorization of $$x^{2^ k}+1$$ over $$F_ p$$ with prime $$p\equiv 3\bmod 4$$. Zbl 0778.11069
Blake, Ian F.; Gao, Shuhong; Mullin, Ronald C.
1993
Construction and decoding of matrix-product codes from nested codes. Zbl 1178.94225
Hernando, Fernando; Lally, Kristine; Ruano, Diego
2009
Exponential lower bounds for depth 3 arithmetic circuits in algebras of functions over finite fields. Zbl 1040.68045
Grigoriev, D.; Razborov, A.
2000
Verification of Erlang processes by dependency pairs. Zbl 0973.68101
Giesl, Jürgen; Arts, Thomas
2001
Size functions and formal series. Zbl 0974.68229
Frosini, Patrizio; Landi, Claudia
2001
Match-bounded string rewriting systems. Zbl 1101.68048
Geser, Alfons; Hofbauer, Dieter; Waldmann, Johannes
2004
On the distance between the roots of a polynomial. Zbl 0835.12002
Mignotte, Maurice
1995
Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations. Zbl 0978.13017
Pauer, Franz; Unterkircher, Andreas
1999
Termination of logic programs: Transformational methods revisited. Zbl 0973.68029
Ohlebusch, Enno
2001
On decomposing systems of polynomial equations with finitely many solutions. Zbl 0793.13013
Möller, H. Michael
1993
The weight enumerator of the duals of a class of cyclic codes with three zeros. Zbl 1397.94122
Yang, Shudi; Yao, Zheng-An; Zhao, Chang-An
2015
Matrix-product codes over finite chain rings. Zbl 1142.94389
van Asch, Bram
2008
Computing hypergeometric solutions of linear recurrence equations. Zbl 1102.65132
Cluzeau, Thomas; van Hoeij, Mark
2006
Lattice structure and linear complexity profile of nonlinear pseudorandom number generators. Zbl 1026.11064
Dorfer, Gerhard; Winterhof, Arne
2003
Improved algorithm for the isogeny problem for ordinary elliptic curves. Zbl 1316.11113
Galbraith, Steven; Stolbunov, Anton
2013
A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications. Zbl 1011.12005
2000
Semi-invariants, equivariants and algorithms. Zbl 0845.13009
Gatermann, Karin
1996
A resultant theory for the systems of two ordinary algebraic differential equations. Zbl 0999.12008
Carrà-Ferro, Giuseppa
1997
Construction of roadmaps in semi-algebraic sets. Zbl 0807.14047
Gournay, L.; Risler, J. J.
1993
Primitive polynomials over finite fields of characteristic two. Zbl 1056.11077
Fan, Shuqin; Han, Wenbao
2004
Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration. Zbl 1259.94075
Cao, Yonglin
2011
Degree bounds to find polynomial solutions of parameterized linear difference equations in $$\Pi\Sigma$$-fields. Zbl 1101.39001
Schneider, Carsten
2005
Protecting against key-exposure: strongly key-insulated encryption with optimal threshold. Zbl 1098.94020
2006
A construction of several classes of two-weight and three-weight linear codes. Zbl 1384.94126
Li, Chengju; Yue, Qin; Fu, Fang-Wei
2017
On cyclic self-dual codes. Zbl 1174.94024
Kai, Xiaoshan; Zhu, Shixin
2008
Resolvent representation for regular differential ideals. Zbl 1048.12005
Cluzeau, Thomas; Hubert, Evelyne
2003
Multivariate polynomial decomposition. Zbl 1103.12004
von zur Gathen, Joachim; Gutierrez, Jaime; Rubio, Rosario
2003
On $$r$$-partition designs in Hamming spaces. Zbl 0756.05036
Camion, Paul; Courteau, Bernard; Delsarte, Philippe
1992
Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. Zbl 1258.05133
Johnsen, Trygve; Verdure, Hugues
2013
Lower bounds on minimal distance of evaluation codes. Zbl 1184.94278
Tohǎneanu, Ştefan O.
2009
On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040
Niederreiter, Harald; Shparlinski, Igor E.
2000
Fast separable factorization and applications. Zbl 1205.12008
Lecerf, Grégoire
2008
Plotting missing points and branches of real parametric curves. Zbl 1192.14045
2007
Lattice structure and linear complexity of nonlinear pseudorandom numbers. Zbl 1033.11038
Niederreiter, Harald; Winterhof, Arne
2002
A computer proof of a series evaluation in terms of harmonic numbers. Zbl 1011.33003
Lyons, Russell; Paule, Peter; Riese, Axel
2002
An efficient algebraic algorithm for the geometric completion to involution. Zbl 1095.13550
Hausdorf, Marcus; Seiler, Werner M.
2002
Fast radix-$$p$$ discrete cosine transform. Zbl 0755.65145
Steidl, Gabriele
1992
Symbolic homotopy construction. Zbl 0804.65058
Verschelde, Jan; Cools, Ronald
1993
On toric codes and multivariate Vandermonde matrices. Zbl 1166.94355
Little, John; Schwarz, Ryan
2007
Linear complexity of generalized cyclotomic binary sequences of length $$2p^{m}$$. Zbl 1184.94222
Zhang, Jingwei; Zhao, Chang-An; Ma, Xiao
2010
New recombination algorithms for bivariate polynomial factorization based on Hensel lifting. Zbl 1245.12008
Lecerf, Grégoire
2010
Generalized Bézout identity. Zbl 1073.93516
1998
On the equivalence of codes over finite rings. Zbl 1055.94030
Dinh, Hai Quang; López-Permouth, Sergio R.
2004
Four families of minimal binary linear codes with $$w_{\min }/w_{\max }\le 1/2$$. Zbl 1412.94237
Zhang, Wenqin; Yan, Haode; Wei, Honglei
2019
Non-embeddable quasi-residual quasi-symmetric designs. Zbl 07559949
2022
Two classes of binary cyclic codes and their weight distributions. Zbl 1469.94159
Zeng, Xueqiang; Fan, Cuiling; Zeng, Qi; Qi, Yanfeng
2021
On the self-dual codes with an automorphism of order 5. Zbl 1472.94087
Yankov, Nikolay; Anev, Damyan
2021
Quasi type IV codes over a non-unital ring. Zbl 1479.94359
Alahmadi, Adel; Altassan, Alaa; Basaffar, Widyan; Bonnecaze, Alexis; Shoaib, Hatoon; Solé, Patrick
2021
Projective binary linear codes from special Boolean functions. Zbl 07393905
Heng, Ziling; Wang, Weiqiong; Wang, Yan
2021
Constructing reductions for creative telescoping. The general differentially finite case. Zbl 07432190
van der Hoeven, Joris
2021
A modified Dual-Ouroboros public-key encryption using Gabidulin codes. Zbl 1465.94074
Kim, Jon-Lark; Kim, Young-Sik; Galvez, Lucky Erap; Kim, Myeong Jae
2021
LCD codes from weighing matrices. Zbl 1473.94152
Crnković, Dean; Egan, Ronan; Rodrigues, B. G.; Švob, Andrea
2021
On max-flat and max-cotorsion modules. Zbl 1482.16010
Alagöz, Yusuf; Büyükaşık, Engin
2021
Note on rings which are sums of a subring and an additive subgroup. Zbl 1482.16033
Kȩpczyk, Marek
2021
On self-duality and hulls of cyclic codes over $$\frac{\mathbb{F}_{2^m}[u]}{\langle u^k\rangle}$$ with oddly even length. Zbl 1480.94041
Cao, Yonglin; Cao, Yuan; Fu, Fang-Wei
2021
Algorithms for group actions in arbitrary characteristic and a problem in singularity theory. Zbl 1440.14218
Greuel, Gert-Martin; Pham, Thuy Huong
2020
Linear codes over $$\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)$$ and the MacWilliams identities. Zbl 1436.94108
Çalışkan, Fatma; Aksoy, Refia
2020
On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs. Zbl 1464.05266
Bartzos, Evangelos; Emiris, Ioannis Z.; Schicho, Josef
2020
Digital H-spaces and actions in the pointed digital homotopy category. Zbl 1434.68592
Lee, Dae-Woong
2020
Skew constacyclic codes over a non-chain ring $${\mathbb{F}}_q[u,v]/\langle f(u),g(v), uv-vu\rangle$$. Zbl 1458.94322
2020
Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures. Zbl 1457.94096
Barkee, Boo; Ceria, Michela; Moriarty, Theo; Visconti, Andrea
2020
A trigonometric approach for Dickson polynomials over fields of characteristic two. Zbl 1459.11222
Lima, Juliano B.; Panario, Daniel
2020
Optimal RS-like LRC codes of arbitrary length. Zbl 1462.94070
Rajput, Charul; Bhaintwal, Maheshanand
2020
Boomerang uniformity of normalized permutation polynomials of low degree. Zbl 1446.11208
Wang, Yan-Ping; Wang, Qiang; Zhang, Wei-Guo
2020
Arf good semigroups with fixed genus. Zbl 1448.14027
Zito, Giuseppe
2020
Determination of a type of permutation binomials and trinomials. Zbl 1477.11200
Sharma, R. K.; Gupta, Rohit
2020
Toward involutive bases over effective rings. Zbl 1474.13054
Ceria, Michela; Mora, Teo
2020
Computing the equisingularity type of a pseudo-irreducible polynomial. Zbl 1472.14069
2020
Four families of minimal binary linear codes with $$w_{\min }/w_{\max }\le 1/2$$. Zbl 1412.94237
Zhang, Wenqin; Yan, Haode; Wei, Honglei
2019
Quantum codes from cyclic codes over the ring $$\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q$$. Zbl 1454.94133
Gao, Yun; Gao, Jian; Fu, Fang-Wei
2019
Several classes of linear codes and their weight distributions. Zbl 1453.94148
Wang, Xiaoqiang; Zheng, Dabin; Liu, Hongwei
2019
A note on the generalized Hamming weights of Reed-Muller codes. Zbl 1423.94172
Beelen, Peter
2019
A further study of the linear complexity of new binary cyclotomic sequence of length $$p^r$$. Zbl 1416.94037
Ye, Zhifan; Ke, Pinhui; Wu, Chenhuang
2019
Computing with D-algebraic power series. Zbl 1462.68243
van der Hoeven, Joris
2019
On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices. Zbl 1418.94071
Dougherty, Steven T.; Saltürk, Esengül; Szabo, Steve
2019
Three questions of Bertram on locally maximal sum-free sets. Zbl 1454.11026
Anabanti, Chimere Stanley
2019
Complete decompositions of finite abelian groups. Zbl 1418.05020
Chin, A. Y. M.; Chen, H. V.
2019
Extremal invariant polynomials not satisfying the Riemann hypothesis. Zbl 1455.13011
Chinen, Koji
2019
The connection between quadratic bent-negabent functions and the Kerdock code. Zbl 1457.94252
Stănică, Pantelimon; Mandal, Bimal; Maitra, Subhamoy
2019
Fast Gröbner basis computation and polynomial reduction for generic bivariate ideals. Zbl 1451.13084
van der Hoeven, Joris; Larrieu, Robin
2019
Directed path spaces via discrete vector fields. Zbl 1411.55010
Ziemiański, Krzysztof
2019
Several classes of binary linear codes and their weight enumerators. Zbl 1412.94232
Li, Fei; Yan, Yang; Wang, Qiuyan; Yan, Tongjiang
2019
Greedy construction of DNA codes and new bounds. Zbl 1418.94070
Bennenni, Nabil; Guenda, Kenza; Gulliver, Thomas Aaron
2019
Near approximations in groups. Zbl 1437.20057
Bağırmaz, Nurettin
2019
Approximately $$\mathit{\Gamma}$$-semigroups in proximal relator spaces. Zbl 1437.20051
Uçkun, Mustafa; İnan, Ebubekir
2019
New quadratic bent functions in polynomial forms with coefficients in extension fields. Zbl 1435.11141
Huang, Dongmei; Tang, Chunming; Qi, Yanfeng; Xu, Maozhi
2019
On extremal double circulant self-dual codes of lengths 90–96. Zbl 1459.94165
2019
Fixed points of rational functions satisfying the Carlitz property. Zbl 1459.11232
Chubb, Kaitlyn; Panario, Daniel; Wang, Qiang
2019
A characterization of all semiprimitive irreducible cyclic codes in terms of their lengths. Zbl 1475.94202
Vega, Gerardo
2019
A further construction of asymptotically optimal codebooks with multiplicative characters. Zbl 1457.94240
Yin, Wenjuan; Xiang, Can; Fu, Fang-Wei
2019
Few-weight codes from trace codes over a local ring. Zbl 1436.94114
Shi, Minjia; Qian, Liqin; Solé, Patrick
2018
$$LCD$$ codes from adjacency matrices of graphs. Zbl 1391.94846
Key, J. D.; Rodrigues, B. G.
2018
A class of cyclotomic linear codes and their generalized Hamming weights. Zbl 1404.94137
Li, Fei
2018
Computing weight $$q$$-multiplicities for the representations of the simple Lie algebras. Zbl 1436.17011
Harris, Pamela E.; Insko, Erik; Simpson, Anthony
2018
Matrix-product structure of constacyclic codes over finite chain rings $$\mathbb{F}_{p^m}[u]/\langle u^e\rangle$$. Zbl 1404.94145
Cao, Yuan; Cao, Yonglin; Fu, Fang-Wei
2018
A class of primitive BCH codes and their weight distribution. Zbl 1402.94109
Yan, Haode
2018
Complete classification of $$(\delta +\alpha u^2)$$-constacyclic codes over $$\mathbb {F}_{3^m}[u]/\langle u^4\rangle$$ of length $$3n$$. Zbl 1402.94099
Cao, Yuan; Cao, Yonglin; Dong, Li
2018
Verifiability-based conversion from CPA to CCA-secure predicate encryption. Zbl 1384.94092
Nandi, Mridul; Pandit, Tapas
2018
Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent. Zbl 1443.94119
Castro, Francis N.; Medina, Luis A.; Stănică, Pantelimon
2018
A Pommaret bases approach to the degree of a polynomial ideal. Zbl 1410.13017
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
2018
How to obtain lattices from $$(f,\sigma,\delta)$$-codes via a generalization of construction A. Zbl 1436.94113
Pumplün, Susanne
2018
The weight distribution for any irreducible cyclic code of length $$p^m$$. Zbl 1473.94151
Vega, Gerardo
2018
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2018
Some classes of permutation polynomials over finite fields with odd characteristic. Zbl 1402.11147
Liu, Qian; Sun, Yujuan; Zhang, Wei Guo
2018
Six new classes of permutation trinomials over $$\mathbb{F}_{3^{3k}}$$. Zbl 1401.05020
Wang, Yanping; Zha, Zhengbang; Zhang, Weiguo
2018
Near-rings on digital Hopf groups. Zbl 1395.16049
Lee, Dae-Woong
2018
On division polynomial PIT and supersingularity. Zbl 1443.11117
2018
Explicit characterization of two classes of regular bent functions. Zbl 1417.94080
Qi, Yanfeng; Tang, Chunming; Huang, Dongmei
2018
Cryptanalysis of a key exchange protocol based on the ring $$E_p^{(m)}$$. Zbl 1401.94182
Zhang, Yang
2018
Choosing and generating parameters for pairing implementation on BN curves. Zbl 1401.94151
Duquesne, Sylvain; El Mrabet, Nadia; Haloui, Safia; Rondepierre, Franck
2018
A construction of several classes of two-weight and three-weight linear codes. Zbl 1384.94126
Li, Chengju; Yue, Qin; Fu, Fang-Wei
2017
More classes of permutation polynomials of the form $$(x^{p^m}-x+\delta)^s+L(x)$$. Zbl 1366.05005
Zheng, Dabin; Chen, Zhen
2017
New binary linear codes from quasi-cyclic codes and an augmentation algorithm. Zbl 1375.94168
Aydin, Nuh; Connolly, Nicholas; Murphree, John
2017
Several classes of Boolean functions with few Walsh transform values. Zbl 1427.94084
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2017
Spaces of directed paths on pre-cubical sets. Zbl 1384.55015
Ziemiański, Krzysztof
2017
Linear codes from quadratic forms. Zbl 1394.94948
Du, Xiaoni; Wan, Yunqi
2017
Some classes of linear codes over $$\mathbb {Z}_4+v\mathbb {Z}_4$$ and their applications to construct good and new $$\mathbb {Z}_4$$-linear codes. Zbl 1390.94874
Gao, Jian; Fu, Fang-Wei; Gao, Yun
2017
Reversible DNA codes using skew polynomial rings. Zbl 1375.94174
Gursoy, Fatmanur; Oztas, Elif Segah; Siap, Irfan
2017
An improved method for determining the weight distribution of a family of $$q$$-ary cyclic codes. Zbl 1394.94954
Vega, Gerardo
2017
A numerical ampleness criterion via Gale duality. Zbl 1404.14059
Rossi, Michele; Terracini, Lea
2017
Binary codes and permutation decoding sets from the graph products of cycles. Zbl 1386.94101
Fish, W.
2017
1-generator quasi-cyclic and generalized quasi-cyclic codes over the ring $$\frac{\mathbb Z_4[u]}{\langle u^2 - 1\rangle}$$. Zbl 1394.94952
Gao, Yun; Gao, Jian; Wu, Tingting; Fu, Fang-Wei
2017
Secret sharing schemes based on additive codes over $$\mathrm{GF}(4)$$. Zbl 1384.94120
Kim, Jon-Lark; Lee, Nari
2017
Predicting the elliptic curve congruential generator. Zbl 1369.11099
Mérai, László
2017
Affine equivalence and non-linearity of permutations over $$\mathbb Z_n$$. Zbl 1366.05003
Kumar, Yogesh; Mishra, Prasanna R.; Pillai, N. Rajesh; Sharma, R. K.
2017
A simple method for obtaining relations among factor basis elements for special hyperelliptic curves. Zbl 1390.11132
Sarkar, Palash; Singh, Shashank
2017
Geometric approach to the MacWilliams extension theorem for codes over module alphabets. Zbl 1373.94941
Dyshko, Serhii
2017
Mirror theory and cryptography. Zbl 1375.94154
Patarin, Jacques
2017
Some cyclic codes from some monomials. Zbl 1394.94953
Rajabi, Zohreh; Khashyarmanesh, Kazem
2017
On the annihilator ideal of an inverse form. Zbl 1368.13031
Norton, Graham H.
2017
On the dynamics of endomorphisms of finite groups. Zbl 1397.20031
Bors, Alexander
2017
Polynomial interpolation of the Naor-Reingold pseudo-random function. Zbl 1369.11098
Mefenza, Thierry; Vergnaud, Damien
2017
New secondary constructions of bent functions. Zbl 1378.94072
Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng
2016
Cyclic codes over $$\mathbb{F}_{2^m}[u]/\langle u^k\rangle$$ of oddly even length. Zbl 1344.94090
Cao, Yonglin; Cao, Yuan; Fu, Fang-Wei
2016
Deterministic root finding over finite fields using Graeffe transforms. Zbl 1346.13056
Grenet, Bruno; van der Hoeven, Joris; Lecerf, Grégoire
2016
Euclidean self-dual codes over non-commutative Frobenius rings. Zbl 1435.94149
Dougherty, Steven T.; Leroy, André
2016
Concatenated structure of cyclic codes over $$\mathbb {Z}_4$$ of length $$4n$$. Zbl 1344.94091
Cao, Yonglin; Cao, Yuan; Li, Qingguo
2016
Computing Tjurina stratifications of $$\mu$$-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
2016
On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion. Zbl 1372.94410
Aragona, Riccardo; Calderini, Marco; Maccauro, Daniele; Sala, Massimiliano
2016
Modular multiplication using the core function in the residue number system. Zbl 1342.68031
2016
Constructions of self-dual codes and formally self-dual codes over rings. Zbl 1362.94062
Dougherty, Steven T.; Kaya, Abidin; Saltürk, Esengül
2016
On the complexity of skew arithmetic. Zbl 1352.68305
van der Hoeven, Joris
2016
One weight $$\mathbb {Z}_2\mathbb {Z}_4$$ additive codes. Zbl 1333.94073
Dougherty, Steven T.; Liu, Hongwei; Yu, Long
2016
Trellis complexity and pseudoredundancy of relative two-weight codes. Zbl 1357.94101
Liu, Zihui; Wu, Xin-Wen
2016
...and 517 more Documents
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Cited by 3,781 Authors

 38 Dinh, Hai Quang 30 Shparlinski, Igor E. 28 Cao, Yonglin 27 Fu, Fangwei 27 Sendra, Juan Rafael 27 Solé, Patrick 26 Schost, Éric 26 Seiler, Werner M. 24 Villarreal, Rafael Heraclio 22 Gao, Jian 22 Zeng, Xiangyong 21 Cao, Yuan 21 Dougherty, Steven T. 20 Cao, Xiwang 19 Hu, Lei 19 Lecerf, Grégoire 19 Sriboonchitta, Songsak 18 Niederreiter, Harald 18 Safey El Din, Mohab 18 van der Hoeven, Joris 18 Winterhof, Arne 18 Zhu, Shixin 17 Sturm, Thomas 16 Geck, Meinolf 16 Hashemi, Amir 16 Pérez-Díaz, Sonia 16 Shi, Minjia 16 Takane, Yoshio 15 Aydin, Nuh 15 Barkatou, Moulay A. 15 Basu, Saugata 15 Helleseth, Tor 15 Himstedt, Frank 15 Liu, Hongwei 15 Sala, Massimiliano 15 Schneider, Carsten 14 Gao, Xiaoshan 14 Jeronimo, Gabriela 14 Li, Nian 14 Martínez-Moro, Edgar 14 Quadrat, Alban 14 Röhrle, Gerhard E. 13 Alcazar, Juan Gerardo 13 Bhaintwal, Maheshanand 13 Cluzeau, Thomas 13 Guenda, Kenza 13 Napp, Diego 13 Rouillier, Fabrice 13 Ulmer, Felix 12 Heintz, Joos 12 Middeldorp, Aart 12 Özbudak, Ferruh 12 Pardo, Luis Miguel 12 Prakash, Om 12 Yildiz, Bahattin 12 Zha, Zhengbang 11 Islam, Habibul 11 Kai, Xiaoshan 11 Ling, San 11 Lübeck, Frank 11 Malle, Gunter 11 Matera, Guillermo 11 Mora, Teo 11 Pinto, Raquel 11 Robertz, Daniel 11 Vaz Pinto, Maria 11 Zantema, Hans 10 Bandi, Ramakrishna 10 Bostan, Alin 10 Calderini, Marco 10 Emiris, Ioannis Z. 10 Gao, Shuhong 10 Grigor’ev, Dmitriĭ Yur’evich 10 Gulliver, Thomas Aaron 10 Lucas, Salvador 10 Meidl, Wilfried 10 Mesnager, Sihem 10 Ovchinnikov, Alexey Igorevich 10 Panario, Daniel 10 Pasalic, Enes 10 Sharma, Anuradha 10 Shen, Liyong 10 Solernó, Pablo 10 Weidenbach, Christoph 10 Yang, Shudi 10 Yue, Qin 10 Zhang, Fengrong 10 Zhang, Shugong 9 Ceria, Michela 9 Ding, Cunsheng 9 Faugère, Jean-Charles 9 Giusti, Marc 9 Hiss, Gerhard 9 Liu, Xiusheng 9 Moreno Maza, Marc 9 Nishida, Naoki 9 Poteaux, Adrien 9 Roy, Marie-Françoise 9 Ruano, Diego 9 Singer, Michael F. ...and 3,681 more Authors
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Cited in 429 Journals

 280 Journal of Symbolic Computation 236 Finite Fields and their Applications 214 Applicable Algebra in Engineering, Communication and Computing 188 Designs, Codes and Cryptography 101 Journal of Algebra 97 Theoretical Computer Science 89 Discrete Mathematics 78 Cryptography and Communications 68 Journal of Pure and Applied Algebra 65 Advances in Mathematics of Communications 53 Mathematics of Computation 51 Journal of Complexity 48 Linear Algebra and its Applications 44 Journal of Algebra and its Applications 42 Mathematics in Computer Science 34 Communications in Algebra 28 Foundations of Computational Mathematics 27 Discrete Applied Mathematics 26 Journal of Computational and Applied Mathematics 25 Journal of Applied Mathematics and Computing 23 Information Processing Letters 23 Information and Computation 23 Journal of Systems Science and Complexity 22 Computer Aided Geometric Design 22 Journal of Automated Reasoning 21 Applied Mathematics and Computation 19 Journal of Number Theory 19 Discrete & Computational Geometry 18 Transactions of the American Mathematical Society 18 Advances in Applied Mathematics 17 Discrete Mathematics, Algorithms and Applications 14 Proceedings of the American Mathematical Society 14 International Journal of Foundations of Computer Science 13 International Journal of Algebra and Computation 13 Computational Complexity 13 Experimental Mathematics 13 Representation Theory 13 Journal of Algebra, Combinatorics, Discrete Structures and Applications 12 Advances in Mathematics 11 International Journal of Control 11 Journal of Mathematical Physics 11 Journal of Combinatorial Theory. Series A 11 Systems & Control Letters 10 Programming and Computer Software 10 Acta Applicandae Mathematicae 10 SIAM Journal on Discrete Mathematics 10 Journal of Algebraic Combinatorics 10 Science China. Mathematics 9 Problems of Information Transmission 9 Bulletin of the Korean Mathematical Society 9 Multidimensional Systems and Signal Processing 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 LMS Journal of Computation and Mathematics 9 Quantum Information Processing 9 Journal of Mathematical Cryptology 8 Bulletin of the Australian Mathematical Society 8 Applied Mathematics Letters 8 International Journal of Computer Mathematics 8 Computational and Applied Mathematics 8 International Journal of Number Theory 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Groups, Complexity, Cryptology 7 Graphs and Combinatorics 7 MSCS. Mathematical Structures in Computer Science 7 Journal of Mathematical Sciences (New York) 7 Annals of Mathematics and Artificial Intelligence 7 Journal of Discrete Mathematical Sciences & Cryptography 7 Theory and Practice of Logic Programming 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Computers & Mathematics with Applications 6 Linear and Multilinear Algebra 6 Automatica 6 Mathematics and Computers in Simulation 6 European Journal of Combinatorics 6 Journal of Cryptology 6 Numerical Algorithms 6 Computational Statistics and Data Analysis 6 Turkish Journal of Mathematics 6 Journal of Difference Equations and Applications 6 Mathematical Problems in Engineering 6 Wuhan University Journal of Natural Sciences (WUJNS) 6 Journal of Applied and Computational Topology 5 International Journal of Theoretical Physics 5 Geometriae Dedicata 5 Information Sciences 5 Journal of Computer and System Sciences 5 Manuscripta Mathematica 5 Mathematische Zeitschrift 5 Results in Mathematics 5 Topology and its Applications 5 Journal of the American Mathematical Society 5 Mathematical and Computer Modelling 5 Formal Aspects of Computing 5 Journal of Mathematical Imaging and Vision 5 Cybernetics and Systems Analysis 5 Journal of Combinatorial Designs 5 The Ramanujan Journal 5 Journal of Group Theory 5 Algebra and Discrete Mathematics 5 Asian-European Journal of Mathematics ...and 329 more Journals
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Cited in 61 Fields

 1,176 Information and communication theory, circuits (94-XX) 876 Computer science (68-XX) 841 Number theory (11-XX) 485 Algebraic geometry (14-XX) 472 Commutative algebra (13-XX) 331 Group theory and generalizations (20-XX) 285 Numerical analysis (65-XX) 279 Field theory and polynomials (12-XX) 242 Combinatorics (05-XX) 129 Associative rings and algebras (16-XX) 110 Mathematical logic and foundations (03-XX) 96 Ordinary differential equations (34-XX) 87 Systems theory; control (93-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 77 Quantum theory (81-XX) 56 Algebraic topology (55-XX) 52 Dynamical systems and ergodic theory (37-XX) 51 Operations research, mathematical programming (90-XX) 48 Special functions (33-XX) 43 Nonassociative rings and algebras (17-XX) 42 Convex and discrete geometry (52-XX) 41 Geometry (51-XX) 40 Partial differential equations (35-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 38 Statistics (62-XX) 34 Biology and other natural sciences (92-XX) 33 Several complex variables and analytic spaces (32-XX) 29 Differential geometry (53-XX) 24 Approximations and expansions (41-XX) 24 Manifolds and cell complexes (57-XX) 23 Functions of a complex variable (30-XX) 23 Difference and functional equations (39-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Mechanics of particles and systems (70-XX) 17 Real functions (26-XX) 16 Probability theory and stochastic processes (60-XX) 15 Category theory; homological algebra (18-XX) 13 Topological groups, Lie groups (22-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 History and biography (01-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Abstract harmonic analysis (43-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 Fluid mechanics (76-XX) 5 Measure and integration (28-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 4 General algebraic systems (08-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Relativity and gravitational theory (83-XX) 3 Mathematics education (97-XX) 2 Sequences, series, summability (40-XX) 2 Geophysics (86-XX) 1 $$K$$-theory (19-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)