Results 21 to 30 of about 547 (94)
A generalization of cyclic code equivalence algorithm to constacyclic codes
Designs, Codes and Cryptography, 2022 Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to constacyclic codes. As an application of the algorithm we found many constacyclic codes with good parameters and properties. In particular, we found 23 new codes that improve
Dev Akre +3 more
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The Depth Distribution of Constacyclic Codes Over
IEEE Access, 2018 The depth distribution of a linear code was put forward by Etzion as a new characterization for linear codes. The previously known results pay close attention to the depth distribution of the linear codes over chain rings.
Guanghui Zhang
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Quantum Error Correction via Codes over GF(4) [PDF]
, 1996 The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product.
Calderbank, A. R. +3 more
core +10 more sources
Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 This paper overviews the study of skew Θ‐λ‐constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ‐λ‐constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ‐cyclic and skew Θ‐negacyclic codes over finite chain rings in general and ...
Hai Q. Dinh +3 more
wiley +1 more source
Hermitian Self‐Orthogonal Constacyclic Codes over Finite Fields
Journal of Discrete Mathematics, Volume 2014, Issue 1, 2014., 2014 Necessary and sufficient conditions for the existence of Hermitian self‐orthogonal constacyclic codes of length n over a finite field Fq2, n coprime to q, are found. The defining sets and corresponding generator polynomials of these codes are also characterised. A formula for the number of Hermitian self‐orthogonal constacyclic codes of length n over a
Amita Sahni +2 more
wiley +1 more source
On the dual codes of skew constacyclic codes
Advances in Mathematics of Communications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexis Eduardo Almendras Valdebenito +1 more
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Gray Images of Constacyclic Codes Over Some Polynomial Residue Rings
پژوهشهای ریاضی, 2021 Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( .
Reza Sobhani
doaj
A circulant approach to skew-constacyclic codes
Finite Fields and Their Applications, 2015 We introduce circulant matrices that capture the structure of a skew-polynomial ring F[x;θ] modulo the left ideal generated by a polynomial of the type x^n-a. This allows us to develop an approach to skew-constacyclic codes based on such circulants.
Neville Fogarty, Heide Gluesing-Luerssen
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The weight distributions of constacyclic codes
Advances in Mathematics of Communications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fengwei Li, Qin Yue 0001, Fengmei Liu
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Construction of New Matrix-Product Codes and Their Applications
IEEE Access, 2019 In this paper, from special code chains $\mathcal {C}_{1} \supseteq \mathcal {C}_{2}~\supseteq \mathcal {C}_{3}$ such that $\mathcal {C}^{\bot _{h}}_{1}\subseteq \mathcal {C}_{3}$ and $\mathcal {C}^{\bot _{h}}_{2}\subseteq \mathcal {C}_{2}$ , some ...
Hao Song +3 more
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