# zbMATH — the first resource for mathematics

## 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: 835 Publications (since 1990) References Indexed: 615 Publications with 12,980 References.
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#### Latest Issues

 32, No. 4 (2021) 32, No. 3 (2021) 32, No. 2 (2021) 32, No. 1 (2021) 31, No. 5-6 (2020) 31, No. 3-4 (2020) 31, No. 2 (2020) 31, No. 1 (2020) 30, No. 6 (2019) 30, No. 5 (2019) 30, No. 4 (2019) 30, No. 3 (2019) 30, No. 2 (2019) 30, No. 1 (2019) 29, No. 6 (2018) 29, No. 5 (2018) 29, No. 4 (2018) 29, No. 3 (2018) 29, No. 2 (2018) 29, No. 1 (2018) 28, No. 6 (2017) 28, No. 5 (2017) 28, No. 4 (2017) 28, No. 3 (2017) 28, No. 2 (2017) 28, No. 1 (2017) 27, No. 6 (2016) 27, No. 5 (2016) 27, No. 4 (2016) 27, No. 3 (2016) 27, No. 2 (2016) 27, No. 1 (2016) 26, No. 6 (2015) 26, No. 5 (2015) 26, No. 4 (2015) 26, No. 3 (2015) 26, No. 1-2 (2015) 25, No. 6 (2014) 25, No. 5 (2014) 25, No. 4 (2014) 25, No. 3 (2014) 25, No. 1-2 (2014) 24, No. 6 (2013) 24, No. 5 (2013) 24, No. 3-4 (2013) 24, No. 2 (2013) 24, No. 1 (2013) 23, No. 5-6 (2012) 23, No. 3-4 (2012) 23, No. 1-2 (2012) 22, No. 5-6 (2011) 22, No. 4 (2011) 22, No. 3 (2011) 22, No. 2 (2011) 22, No. 1 (2011) 21, No. 6 (2010) 21, No. 5 (2010) 21, No. 4 (2010) 21, No. 3 (2010) 21, No. 2 (2010) 21, No. 1 (2010) 20, No. 5-6 (2009) 20, No. 3-4 (2009) 20, No. 2 (2009) 20, No. 1 (2009) 19, No. 6 (2008) 19, No. 5 (2008) 19, No. 4 (2008) 19, No. 3 (2008) 19, No. 2 (2008) 19, No. 1 (2008) 18, No. 6 (2007) 18, No. 5 (2007) 18, No. 4 (2007) 18, No. 3 (2007) 18, No. 1-2 (2007) 17, No. 6 (2006) 17, No. 5 (2006) 17, No. 3-4 (2006) 17, No. 2 (2006) 17, No. 1 (2006) 16, No. 6 (2006) 16, No. 5 (2005) 16, No. 4 (2005) 16, No. 2-3 (2005) 16, No. 1 (2005) 15, No. 6 (2005) 15, No. 5 (2005) 15, No. 3-4 (2004) 15, No. 2 (2004) 15, No. 1 (2004) 14, No. 6 (2004) 14, No. 5 (2004) 14, No. 4 (2003) 14, No. 3 (2003) 14, No. 2 (2003) 14, No. 1 (2003) 13, No. 6 (2003) 13, No. 5 (2003) 13, No. 4 (2002) ...and 59 more Volumes
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#### Authors

 11 Niederreiter, Harald 11 Shparlinski, Igor E. 10 Dougherty, Steven T. 9 Cao, Yonglin 9 Fu, Fangwei 9 Mora, Teo 9 Sendra, Juan Rafael 8 Gulliver, Thomas Aaron 8 Hu, Lei 7 Norton, Graham H. 7 Real, Pedro 7 Sala, Massimiliano 7 van der Hoeven, Joris 6 Cao, Yuan 6 Harada, Masaaki 6 Schicho, Josef 6 Solé, Patrick 6 Tang, Chunming 6 Winterhof, Arne 6 Zeng, Xiangyong 5 Cao, Xiwang 5 Grigor’ev, Dmitriĭ Yur’evich 5 Litsyn, Simon N. 5 Qi, Yanfeng 5 Seiler, Werner M. 5 Zheng, Dabin 4 Blake, Ian F. 4 Ceria, Michela 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 Sáenz de Cabezón Irigaray, Eduardo 4 Schost, Éric 4 Scott, Tony C. 4 Solernó, Pablo 4 Steinwandt, Rainer 4 Udaya, Parampalli 4 Ulmer, Felix 4 Zantema, Hans 3 Aragona, Riccardo 3 Assi, Abdallah 3 Aydin, Nuh 3 Barkatou, Moulay A. 3 Beth, Thomas 3 Bhaintwal, Maheshanand 3 Caboara, Massimo 3 Camion, Paul F. 3 Clausen, Michael 3 Cluzeau, Thomas 3 de Graaf, Willem Adriaan 3 Du, Xiaoni 3 Ellis, Graham J. 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 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 Stănică, Pantelimon 3 Tang, Miao 3 Tarnanen, Hannu 3 Tietäväinen, Aimo A. 3 Vega, Gerardo 3 Villarino, Carlos 3 von zur Gathen, Joachim 3 Weispfenning, Volker 3 Willems, Wolfgang 3 Xing, Chaoping 3 Xu, Guangkui 3 Xu, Shanding ...and 1,099 more Authors
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#### Fields

 379 Information and communication theory, circuits (94-XX) 237 Computer science (68-XX) 234 Number theory (11-XX) 119 Algebraic geometry (14-XX) 118 Commutative algebra (13-XX) 73 Field theory and polynomials (12-XX) 62 Group theory and generalizations (20-XX) 57 Numerical analysis (65-XX) 55 Combinatorics (05-XX) 36 Associative rings and algebras (16-XX) 22 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) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Quantum theory (81-XX) 12 General and overarching topics; collections (00-XX) 11 Operations research, mathematical programming (90-XX) 10 Convex and discrete geometry (52-XX) 9 Systems theory; control (93-XX) 8 Special functions (33-XX) 7 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) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Biology and other natural sciences (92-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)

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Generalized quasi-cyclic codes: Structural properties and code construction. Zbl 1173.94453
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Primitive normal bases with prescribed trace. Zbl 0931.12002
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The minimum distance of parameterized codes on projective tori. Zbl 1271.13054
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Some power mappings with low differential uniformity. Zbl 0886.11067
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Formulae for arithmetic on genus 2 hyperelliptic curves. Zbl 1068.14065
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Combinatorial group theory and public key cryptography. Zbl 1104.94038
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On the time-space complexity of geometric elimination procedures. Zbl 0977.68101
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Lower bounds for arithmetic networks. Zbl 0769.68055
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On quasi-cyclic codes over $${\mathbb{Z}_q}$$. Zbl 1178.94216
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A new efficient factorization algorithm for polynomials over small finite fields. Zbl 0776.11070
Niederreiter, Harald
1993
Generalized sufficient conditions for modular termination of rewriting. Zbl 0810.68085
Gramlich, Bernhard
1994
Bounds of traces in complete intersections and degrees in the Nullstellensatz. Zbl 0844.14018
Sabia, Juan; Solernó, Pablo
1995
Toric varieties, Hirzebruch surfaces and error-correcting codes. Zbl 1043.94022
Hansen, Johan P.
2002
Structural properties and enumeration of quasi cyclic codes. Zbl 0774.94007
Conan, Jean; Séguin, Gérald
1993
Toric codes over finite fields. Zbl 1092.94031
Joyner, David
2004
A combinatorial approach to involution and $$\delta$$-regularity. I: Involutive bases in polynomial algebras of solvable type. Zbl 1175.13012
Seiler, Werner M.
2009
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
2010
Orders of Gauss periods in finite fields. Zbl 0931.11057
von zur Gathen, Joachim; Shparlinski, Igor
1998
Cryptanalysis of ‘less short’ RSA secret exponents. Zbl 0882.94026
Verheul, Eric R.; van Tilborg, Henk C. A.
1997
On the Naor-Reingold pseudo-random function from elliptic curves. Zbl 1011.11055
Shparlinski, Igor E.
2000
Necessary conditions for Liouvillian solutions of (third order) linear differential equations. Zbl 0813.12003
Singer, Michael F.; Ulmer, Felix
1995
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
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
Properness and inversion of rational parametrizations of surfaces. Zbl 0993.14022
Pérez-Díaz, Sonia; Schicho, Josef; Sendra, J. Rafael
2002
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
Verification of Erlang processes by dependency pairs. Zbl 0973.68101
Giesl, Jürgen; Arts, Thomas
2001
Construction of cyclic codes over $$\mathbb F_2 + u\mathbb F_2$$ for DNA computing. Zbl 1283.94131
Guenda, Kenza; Gulliver, T. Aaron
2013
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
2013
Metacyclic error-correcting codes. Zbl 0823.94017
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1995
Size functions and formal series. Zbl 0974.68229
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2001
Cryptanalysis of RSA with small prime difference. Zbl 1010.94007
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2002
Effective Łojasiewicz inequalities in semialgebraic geometry. Zbl 0754.14035
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1991
On some block ciphers and imprimitive groups. Zbl 1178.94183
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On decomposing systems of polynomial equations with finitely many solutions. Zbl 0793.13013
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1993
Termination of logic programs: Transformational methods revisited. Zbl 0973.68029
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2001
On necessary and sufficient conditions for differential flatness. Zbl 1239.93027
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2011
A resultant theory for the systems of two ordinary algebraic differential equations. Zbl 0999.12008
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1997
Construction of roadmaps in semi-algebraic sets. Zbl 0807.14047
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1993
Match-bounded string rewriting systems. Zbl 1101.68048
Geser, Alfons; Hofbauer, Dieter; Waldmann, Johannes
2004
A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications. Zbl 1011.12005
2000
Lattice structure and linear complexity of nonlinear pseudorandom numbers. Zbl 1033.11038
Niederreiter, Harald; Winterhof, Arne
2002
Lattice structure and linear complexity profile of nonlinear pseudorandom number generators. Zbl 1026.11064
Dorfer, Gerhard; Winterhof, Arne
2003
Primitive polynomials over finite fields of characteristic two. Zbl 1056.11077
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2004
Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations. Zbl 0978.13017
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1999
Multivariate polynomial decomposition. Zbl 1103.12004
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2003
On cyclic self-dual codes. Zbl 1174.94024
Kai, Xiaoshan; Zhu, Shixin
2008
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
Explicit factorization of $$x^{2^ k}+1$$ over $$F_ p$$ with prime $$p\equiv 3\bmod 4$$. Zbl 0778.11069
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1993
On the distance between the roots of a polynomial. Zbl 0835.12002
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1995
Semi-invariants, equivariants and algorithms. Zbl 0845.13009
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1996
On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040
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2000
Resolvent representation for regular differential ideals. Zbl 1048.12005
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2003
Computing hypergeometric solutions of linear recurrence equations. Zbl 1102.65132
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2006
Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. Zbl 1258.05133
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2013
Exponential lower bounds for depth 3 arithmetic circuits in algebras of functions over finite fields. Zbl 1040.68045
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2000
Degree bounds to find polynomial solutions of parameterized linear difference equations in $$\Pi\Sigma$$-fields. Zbl 1101.39001
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2005
Fast separable factorization and applications. Zbl 1205.12008
Lecerf, Grégoire
2008
Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration. Zbl 1259.94075
Cao, Yonglin
2011
Matrix-product codes over finite chain rings. Zbl 1142.94389
van Asch, Bram
2008
Lower bounds on minimal distance of evaluation codes. Zbl 1184.94278
Tohǎneanu, Ştefan O.
2009
Construction and decoding of matrix-product codes from nested codes. Zbl 1178.94225
Hernando, Fernando; Lally, Kristine; Ruano, Diego
2009
Symbolic homotopy construction. Zbl 0804.65058
Verschelde, Jan; Cools, Ronald
1993
Generalized Bézout identity. Zbl 1073.93516
1998
An efficient algebraic algorithm for the geometric completion to involution. Zbl 1095.13550
Hausdorf, Marcus; Seiler, Werner M.
2002
Plotting missing points and branches of real parametric curves. Zbl 1192.14045
2007
On the equivalence of codes over finite rings. Zbl 1055.94030
Dinh, Hai Quang; López-Permouth, Sergio R.
2004
On $$r$$-partition designs in Hamming spaces. Zbl 0756.05036
Camion, Paul; Courteau, Bernard; Delsarte, Philippe
1992
Fast radix-$$p$$ discrete cosine transform. Zbl 0755.65145
Steidl, Gabriele
1992
An object-oriented interpretation of the EAT system. Zbl 1046.68140
Lambán, Laureano; Pascual, Vico; Rubio, Julio
2003
New recombination algorithms for bivariate polynomial factorization based on Hensel lifting. Zbl 1245.12008
Lecerf, Grégoire
2010
On short multiplications and divisions. Zbl 0968.68200
Mulders, Thom
2000
Rationality analysis and direct parametrization of generalized offsets to quadrics. Zbl 1053.14068
Sendra, J. Rafael; Sendra, Juana
2000
The effective length of subcodes. Zbl 0805.94016
Simonis, Juriaan
1994
Simple termination is difficult. Zbl 0815.68064
Middeldorp, Aart; Gramlich, Bernhard
1995
Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-McMillan form at infinity and structural indices in Kronecker form. Zbl 0826.05044
Murota, Kazuo
1995
Computing Cartan subalgebras of Lie algebras. Zbl 0883.17001
De Graaf, Willem; Ivanyos, Gábor; Rónyai, Lajos
1996
On the self-dual codes with an automorphism of order 5. Zbl 07357744
Yankov, Nikolay; Anev, Damyan
2021
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
Arf good semigroups with fixed genus. Zbl 1448.14027
Zito, Giuseppe
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
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
Several classes of linear codes and their weight distributions. Zbl 1453.94148
Wang, Xiaoqiang; Zheng, Dabin; Liu, Hongwei
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
A note on the generalized Hamming weights of Reed-Muller codes. Zbl 1423.94172
Beelen, Peter
2019
On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices. Zbl 1418.94071
Dougherty, Steven T.; Saltürk, Esengül; Szabo, Steve
2019
Extremal invariant polynomials not satisfying the Riemann hypothesis. Zbl 1455.13011
Chinen, Koji
2019
Computing with D-algebraic power series. Zbl 1462.68243
van der Hoeven, Joris
2019
Several classes of binary linear codes and their weight enumerators. Zbl 1412.94232
Li, Fei; Yan, Yang; Wang, Qiuyan; Yan, Tongjiang
2019
Three questions of Bertram on locally maximal sum-free sets. Zbl 1454.11026
Anabanti, Chimere Stanley
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
The connection between quadratic bent-negabent functions and the Kerdock code. Zbl 1457.94252
Stănică, Pantelimon; Mandal, Bimal; Maitra, Subhamoy
2019
Fixed points of rational functions satisfying the Carlitz property. Zbl 1459.11232
Chubb, Kaitlyn; Panario, Daniel; Wang, Qiang
2019
Fast Gröbner basis computation and polynomial reduction for generic bivariate ideals. Zbl 1451.13084
van der Hoeven, Joris; Larrieu, Robin
2019
Greedy construction of DNA codes and new bounds. Zbl 1418.94070
Bennenni, Nabil; Guenda, Kenza; Gulliver, Thomas Aaron
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
Directed path spaces via discrete vector fields. Zbl 1411.55010
Ziemiański, Krzysztof
2019
$$LCD$$ codes from adjacency matrices of graphs. Zbl 1391.94846
Key, J. D.; Rodrigues, B. G.
2018
Few-weight codes from trace codes over a local ring. Zbl 1436.94114
Shi, Minjia; Qian, Liqin; Solé, Patrick
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 cyclotomic linear codes and their generalized Hamming weights. Zbl 1404.94137
Li, Fei
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
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
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 06916495
Vega, Gerardo
2018
A class of primitive BCH codes and their weight distribution. Zbl 1402.94109
Yan, Haode
2018
Computing weight $$q$$-multiplicities for the representations of the simple Lie algebras. Zbl 1436.17011
Harris, Pamela E.; Insko, Erik; Simpson, Anthony
2018
Verifiability-based conversion from CPA to CCA-secure predicate encryption. Zbl 1384.94092
Nandi, Mridul; Pandit, Tapas
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
Near-rings on digital Hopf groups. Zbl 1395.16049
Lee, Dae-Woong
2018
A Pommaret bases approach to the degree of a polynomial ideal. Zbl 1410.13017
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M.
2018
Some classes of permutation polynomials over finite fields with odd characteristic. Zbl 1402.11147
Liu, Qian; Sun, Yujuan; Zhang, Wei Guo
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
Six new classes of permutation trinomials over $$\mathbb{F}_{3^{3k}}$$. Zbl 1401.05020
Wang, Yanping; Zha, Zhengbang; Zhang, Weiguo
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
An improved method for determining the weight distribution of a family of $$q$$-ary cyclic codes. Zbl 1394.94954
Vega, Gerardo
2017
Several classes of Boolean functions with few Walsh transform values. Zbl 1427.94084
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2017
Reversible DNA codes using skew polynomial rings. Zbl 1375.94174
Gursoy, Fatmanur; Oztas, Elif Segah; Siap, Irfan
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
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 numerical ampleness criterion via Gale duality. Zbl 1404.14059
Rossi, Michele; Terracini, Lea
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
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
Secret sharing schemes based on additive codes over $$\mathrm{GF}(4)$$. Zbl 1384.94120
Kim, Jon-Lark; Lee, Nari
2017
A simple method for obtaining relations among factor basis elements for special hyperelliptic curves. Zbl 1390.11132
Sarkar, Palash; Singh, Shashank
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
Predicting the elliptic curve congruential generator. Zbl 1369.11099
Mérai, László
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
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
Binary codes and permutation decoding sets from the graph products of cycles. Zbl 1386.94101
Fish, W.
2017
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
New secondary constructions of bent functions. Zbl 1378.94072
Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng
2016
Deterministic root finding over finite fields using Graeffe transforms. Zbl 1346.13056
Grenet, Bruno; van der Hoeven, Joris; Lecerf, Grégoire
2016
Concatenated structure of cyclic codes over $$\mathbb {Z}_4$$ of length $$4n$$. Zbl 1344.94091
Cao, Yonglin; Cao, Yuan; Li, Qingguo
2016
Euclidean self-dual codes over non-commutative Frobenius rings. Zbl 1435.94149
Dougherty, Steven T.; Leroy, André
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
Constructions of self-dual codes and formally self-dual codes over rings. Zbl 1362.94062
Dougherty, Steven T.; Kaya, Abidin; Saltürk, Esengül
2016
Modular multiplication using the core function in the residue number system. Zbl 1342.68031
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
Eisenstein polynomials over function fields. Zbl 1411.11122
Dotti, Edoardo; Micheli, Giacomo
2016
Trisection for genus 2 curves in odd characteristic. Zbl 1402.11095
Riquelme, Edgardo
2016
On the evaluation codes given by simple $$\delta$$-sequences. Zbl 1342.94127
Galindo, C.; Pérez-Casales, R.
2016
Several classes of polynomials with low differential uniformity over finite fields of odd characteristic. Zbl 1333.94051
Xu, Guangkui; Cao, Xiwang; Xu, Shanding
2016
Dynamics of linear systems over finite commutative rings. Zbl 1358.13025
Wei, Yangjiang; Xu, Guangwu; Zou, Yi Ming
2016
Computational hardness of IFP and ECDLP. Zbl 1391.94819
Yasuda, Masaya; Shimoyama, Takeshi; Kogure, Jun; Izu, Tetsuya
2016
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
Approximating persistent homology in Euclidean space through collapses. Zbl 1320.55002
Botnan, Magnus Bakke; Spreemann, Gard
2015
Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial. Zbl 1327.13098
Bertone, Cristina
2015
Cohomological learning of periodic motion. Zbl 1331.68236
Vejdemo-Johansson, Mikael; Pokorny, Florian T.; Skraba, Primoz; Kragic, Danica
2015
Computing fundamental groups from point clouds. Zbl 1333.57004
Brendel, Piotr; Dłotko, Paweł; Ellis, Graham; Juda, Mateusz; Mrozek, Marian
2015
Some permutation polynomials over finite fields. Zbl 1400.11157
Marcos, José E.
2015
Trace representation of pseudorandom binary sequences derived from Euler quotients. Zbl 1343.94032
Chen, Zhixiong; Du, Xiaoni; Marzouk, Radwa
2015
2- and 3-modular lattice wiretap codes in small dimensions. Zbl 1343.94098
Lin, Fuchun; Oggier, Frédérique; Solé, Patrick
2015
$$A_\infty$$-persistence. Zbl 1330.55008
Belchí, Francisco; Murillo, Aniceto
2015
Rational homotopy theory for computing colorability of simplicial complexes. Zbl 1331.55007
Costoya, Cristina; Viruel, Antonio
2015
Constacyclic $$\mathbb F_q$$-linear codes over $$\mathbb F_{q^l}$$. Zbl 1359.94760
Cao, Yonglin; Chang, Xingxing; Cao, Yuan
2015
Parameterized codes associated to the edges of some subgraphs of a simple graph. Zbl 1343.94100
González Sarabia, Manuel; Sarmiento Rosales, Eliseo
2015
Editorial. Zbl 1315.00061
Ellis, Graham; Murillo, Aniceto; Real, Pedro; Sáenz-de-Cabezón, Eduardo
2015
Membrane parallelism for discrete Morse theory applied to digital images. Zbl 1331.68258
Reina-Molina, Raúl; Díaz-Pernil, Daniel; Real, Pedro; Berciano, Ainhoa
2015
Searching combinatorial optimality using graph-based homology information. Zbl 1316.05132
Real, Pedro; Molina-Abril, Helena; Gonzalez-Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc
2015
Computing path categories of finite directed cubical complexes. Zbl 1327.18027
Misamore, Michael D.
2015
More on quadratic functions and maximal Artin-Schreier curves. Zbl 1379.11066
Anbar, Nurdagül; Meidl, Wilfried
2015
On sequences, rational functions and decomposition. Zbl 1400.11160
Norton, Graham H.
2015
The linear complexity of a class of binary sequences with period $$2p$$. Zbl 1397.94040
Zhang, Jingwei; Zhao, Chang-An
2015
A note on cyclic codes from APN functions. Zbl 1342.94123
Tang, Chunming; Qi, Yanfeng; Xu, Maozhi
2014
...and 482 more Documents
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#### Cited by 3,361 Authors

 34 Dinh, Hai Quang 30 Shparlinski, Igor E. 26 Cao, Yonglin 26 Schost, Éric 26 Sendra, Juan Rafael 24 Fu, Fangwei 24 Villarreal, Rafael Heraclio 23 Solé, Patrick 22 Seiler, Werner M. 19 Cao, Yuan 19 Dougherty, Steven T. 19 Gao, Jian 19 Hu, Lei 19 Sriboonchitta, Songsak 18 Niederreiter, Harald 18 Zeng, Xiangyong 18 Zhu, Shixin 17 Cao, Xiwang 17 Lecerf, Grégoire 17 van der Hoeven, Joris 16 Geck, Meinolf 16 Safey El Din, Mohab 16 Takane, Yoshio 16 Winterhof, Arne 15 Helleseth, Tor 15 Liu, Hongwei 15 Pérez-Díaz, Sonia 15 Sala, Massimiliano 15 Schneider, Carsten 14 Barkatou, Moulay A. 14 Basu, Saugata 14 Gao, Xiaoshan 14 Himstedt, Frank 14 Jeronimo, Gabriela 14 Quadrat, Alban 14 Shi, Minjia 13 Alcazar, Juan Gerardo 13 Aydin, Nuh 13 Martínez-Moro, Edgar 13 Napp, Diego 13 Röhrle, Gerhard E. 13 Ulmer, Felix 12 Hashemi, Amir 12 Heintz, Joos 12 Middeldorp, Aart 12 Özbudak, Ferruh 12 Pardo, Luis Miguel 12 Rouillier, Fabrice 12 Zha, Zhengbang 11 Cluzeau, Thomas 11 Kai, Xiaoshan 11 Lübeck, Frank 11 Matera, Guillermo 11 Mora, Teo 11 Pinto, Raquel 11 Vaz Pinto, Maria 11 Yildiz, Bahattin 11 Zantema, Hans 10 Bhaintwal, Maheshanand 10 Grigor’ev, Dmitriĭ Yur’evich 10 Guenda, Kenza 10 Gulliver, Thomas Aaron 10 Li, Nian 10 Ling, San 10 Lucas, Salvador 10 Malle, Gunter 10 Panario, Daniel 10 Solernó, Pablo 9 Bandi, Ramakrishna 9 Bostan, Alin 9 Calderini, Marco 9 Ceria, Michela 9 Ding, Cunsheng 9 Gao, Shuhong 9 Giusti, Marc 9 Hiss, Gerhard 9 Meidl, Wilfried 9 Nishida, Naoki 9 Ovchinnikov, Alexey Igorevich 9 Ruano, Diego 9 Sharma, Anuradha 9 Shen, Liyong 9 Singer, Michael F. 9 Vidal, Germán 9 Zhang, Shugong 8 Abramov, Sergeĭ Aleksandrovich 8 Aragona, Riccardo 8 Ballet, Stéphane 8 Ballico, Edoardo 8 Chen, Bocong 8 Chen, Zhixiong 8 Climent, Joan-Josep 8 D’Andrea, Carlos 8 Emiris, Ioannis Z. 8 Faugère, Jean-Charles 8 Huang, Shih-Chang 8 Hwang, Heungsun 8 Johnsen, Trygve 8 Mesnager, Sihem 8 Moreno Maza, Marc ...and 3,261 more Authors
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#### Cited in 386 Journals

 267 Journal of Symbolic Computation 218 Finite Fields and their Applications 205 Applicable Algebra in Engineering, Communication and Computing 173 Designs, Codes and Cryptography 98 Journal of Algebra 95 Theoretical Computer Science 81 Discrete Mathematics 64 Journal of Pure and Applied Algebra 57 Advances in Mathematics of Communications 56 Cryptography and Communications 52 Mathematics of Computation 49 Journal of Complexity 46 Linear Algebra and its Applications 38 Journal of Algebra and its Applications 38 Mathematics in Computer Science 32 Communications in Algebra 28 Foundations of Computational Mathematics 26 Discrete Applied Mathematics 26 Journal of Computational and Applied Mathematics 22 Information and Computation 21 Information Processing Letters 21 Computer Aided Geometric Design 20 Journal of Automated Reasoning 19 Journal of Systems Science and Complexity 18 Applied Mathematics and Computation 18 Transactions of the American Mathematical Society 17 Journal of Number Theory 17 Discrete & Computational Geometry 16 Advances in Applied Mathematics 15 Journal of Applied Mathematics and Computing 14 Proceedings of the American Mathematical Society 14 International Journal of Foundations of Computer Science 13 Representation Theory 12 Computational Complexity 12 Experimental Mathematics 11 Journal of Mathematical Physics 11 Advances in Mathematics 11 International Journal of Algebra and Computation 10 Programming and Computer Software 10 Systems & Control Letters 10 Acta Applicandae Mathematicae 10 Science China. Mathematics 10 Journal of Algebra, Combinatorics, Discrete Structures and Applications 9 Problems of Information Transmission 9 Journal of Combinatorial Theory. Series A 9 SIAM Journal on Discrete Mathematics 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 9 Discrete Mathematics, Algorithms and Applications 8 Bulletin of the Australian Mathematical Society 8 International Journal of Control 8 Bulletin of the Korean Mathematical Society 8 Applied Mathematics Letters 8 International Journal of Computer Mathematics 8 Journal of Algebraic Combinatorics 8 Groups, Complexity, Cryptology 7 Annals of Mathematics and Artificial Intelligence 7 Theory and Practice of Logic Programming 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Computers & Mathematics with Applications 6 Automatica 6 Mathematics and Computers in Simulation 6 European Journal of Combinatorics 6 Graphs and Combinatorics 6 Journal of Cryptology 6 Numerical Algorithms 6 Computational Statistics and Data Analysis 6 Journal of Mathematical Sciences (New York) 6 Journal of Difference Equations and Applications 6 Mathematical Problems in Engineering 6 Wuhan University Journal of Natural Sciences (WUJNS) 6 International Journal of Number Theory 5 Geometriae Dedicata 5 Information Sciences 5 Journal of Computer and System Sciences 5 Results in Mathematics 5 Mathematical and Computer Modelling 5 Formal Aspects of Computing 5 MSCS. Mathematical Structures in Computer Science 5 Cybernetics and Systems Analysis 5 Journal of Combinatorial Designs 5 Journal of Group Theory 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Asian-European Journal of Mathematics 5 ACM Communications in Computer Algebra 5 Journal of Applied and Computational Topology 5 Prikladnaya Diskretnaya Matematika 5 Matematicheskie Voprosy Kriptografii 4 Journal of the Franklin Institute 4 Linear and Multilinear Algebra 4 Journal of Geometry and Physics 4 The Annals of Statistics 4 Computing 4 Journal of Geometry 4 Manuscripta Mathematica 4 Semigroup Forum 4 Topology and its Applications ...and 286 more Journals
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#### Cited in 60 Fields

 1,015 Information and communication theory, circuits (94-XX) 796 Computer science (68-XX) 750 Number theory (11-XX) 445 Algebraic geometry (14-XX) 433 Commutative algebra (13-XX) 301 Group theory and generalizations (20-XX) 269 Numerical analysis (65-XX) 260 Field theory and polynomials (12-XX) 212 Combinatorics (05-XX) 111 Associative rings and algebras (16-XX) 99 Mathematical logic and foundations (03-XX) 86 Ordinary differential equations (34-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 81 Systems theory; control (93-XX) 62 Quantum theory (81-XX) 49 Dynamical systems and ergodic theory (37-XX) 49 Algebraic topology (55-XX) 49 Operations research, mathematical programming (90-XX) 40 Special functions (33-XX) 38 Convex and discrete geometry (52-XX) 36 Partial differential equations (35-XX) 36 Geometry (51-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 34 Nonassociative rings and algebras (17-XX) 33 Statistics (62-XX) 30 Several complex variables and analytic spaces (32-XX) 30 Biology and other natural sciences (92-XX) 25 Differential geometry (53-XX) 24 Manifolds and cell complexes (57-XX) 23 Approximations and expansions (41-XX) 22 Difference and functional equations (39-XX) 21 Functions of a complex variable (30-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Mechanics of particles and systems (70-XX) 16 Real functions (26-XX) 15 Category theory; homological algebra (18-XX) 13 Probability theory and stochastic processes (60-XX) 11 Topological groups, Lie groups (22-XX) 10 History and biography (01-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 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) 8 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-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 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)