Results 31 to 40 of about 547 (94)
A note on isodual constacyclic codes
Finite Fields and Their Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Bocong, Dinh, Hai Q.
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Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the codes over the Z_3+vZ_3+v^2Z_3
, 2015 In this paper, we study the structure of cyclic, quasi-cyclic, constacyclic codes and their skew codes over the finite ring R=Z_3+vZ_3+v^2Z_3, v^3=v. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic and skew constacyclic codes over
Cengellenmis, Yasein +2 more
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Linear Algebra and its Applications, 2016 In this paper we investigate the class of constacyclic codes, which is a natural generalization of the class of cyclic and negacyclic codes. This class of codes is interesting in the sense that it contains codes with good or even optimal parameters.
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An overview on skew constacyclic codes and their subclass of LCD codes
Advances in Mathematics of Communications, 2021 Linear complementary dual (LCD) codes were introduced by Massey in 1994 [\textit{X. Yang} and \textit{J. L. Massey}, Discrete Math. 126, No. 1--3, 391--393 (1994; Zbl 0790.94022)] and proved that asymptotically good LCD codes exists [\textit{J. L. Massey}, Discrete Math. 106/107, 337--342 (1992; Zbl 0754.94009)]. From 2016 to 2018, some authors studied
Boulanouar, Ranya +2 more
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A class of constacyclic codes are generalized Reed–Solomon codes
Designs, Codes and Cryptography, 2023 Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. The most prominent MDS codes are generalized Reed-Solomon (GRS) codes. The square $\mathcal{C}^{2}$ of a linear code $\mathcal{C}$ is the linear code spanned by the component-wise products of every pair of ...
Hongwei Liu 0003, Shengwei Liu
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On the equivalence of linear cyclic and constacyclic codes
Discrete Mathematics, 2023 We introduce new sufficient conditions for permutation and monomial equivalence of linear cyclic codes over various finite fields. We recall that monomial equivalence and isometric equivalence are the same relation for linear codes over finite fields.
Reza Dastbasteh, Petr Lisonek
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Quantum MDS Codes over Small Fields
, 2015 We consider quantum MDS (QMDS) codes for quantum systems of dimension $q$ with lengths up to $q^2+2$ and minimum distances up to $q+1$. We show how starting from QMDS codes of length $q^2+1$ based on cyclic and constacyclic codes, new QMDS codes can be ...
Grassl, Markus, Roetteler, Martin
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Properties of constacyclic codes under the Schur product [PDF]
Designs, Codes and Cryptography, 2020 24 pages, 2 figures, acknowledgements ...
Brett Hemenway Falk +2 more
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