Results 31 to 40 of about 513,670 (123)
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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Constacyclic codes of length ps over Fpm+uFpm [PDF]
, 2010 For any prime p, all constacyclic codes of length ps over the ring R=Fpm+uFpm are considered. The units of the ring R are of the forms γ and α+uβ, where α,β, and γ are nonzero elements of Fpm, which provides pm(pm−1) such constacyclic codes.
Dinh, Hai Q., Hai Q. Dinh
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A family of constacyclic ternary quasi-perfect codes with covering radius 3
, 2010 In this paper a family of constacyclic ternary quasi-perfect linear block codes is presented. This family extends the result presented in a previous work by the first two authors, where the existence of codes with the presented parameters was stated as ...
Dodunekov, Stefan, +5 more
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On the construction of constacyclically permutable codes from constacyclic codes
AIMS Mathematics<abstract><p>In this paper, we propose a way to partition any constacyclic code over a finite field in its equivalence classes according to the algebraic structure of the code. Such a method gives the generalization of cyclically permutable codes (CPCs), which are called constacyclically permutable codes (CCPCs), and it is useful to derive ...
Guanghui Zhang, Shuhua Liang
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Two Classes of Constacyclic Codes with Variable Parameters
, 2022 Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are related to many areas of mathematics and outperform cyclic codes in several aspects.
Ding, Cunsheng +2 more
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Z_q(Z_q+uZ_q)-Linear Skew Constacyclic Codes [PDF]
, 2020 In this paper, we study skew constacyclic codes over the ring $\mathbb{Z}_{q}R$ where $R=\mathbb{Z}_{q}+u\mathbb{Z}_{q}$, $q=p^{s}$ for a prime $p$ and $u^{2}=0.$ We give the definition of these codes as subsets of the ring $\mathbb{Z}_{q}^{\alpha}R ...
Melakhessou, Ahlem +3 more
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On $(n,\sigma)-$equivalence relation between skew constacyclic codes [PDF]
, 2023 In this paper we generalize the notion of $n$-equivalence relation introduced by Chen et al. in \cite{Chen2014} to classify constacyclic codes of length $n$ over a finite field $\mathbb{F}_q$, where $q=p^r$ is a prime power, to the case of skew ...
Ou-azzou, Hassan +2 more
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Skew constacyclic codes over Fp+ vFp [PDF]
, 2016 In this paper, we study a special class of linear codes called skew constacyclic codes over finite non-chain rings of the form Fp+ vFp, where p is an odd prime and v2= v.
Abu-Jazar, Akram Qasem Mahmoud +1 more
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Several Families of Irreducible Constacyclic and Cyclic Codes [PDF]
, 2022 In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these irreducible constacyclic codes and the parameters of their duals are settled.
Ding, Cunsheng +2 more
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A q-polynomial approach to constacyclic codes
Finite Fields and Their Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weijun Fang +2 more
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