Results 21 to 30 of about 1,535,218 (92)
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
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(1+u) constacyclic and cyclic codes over F2+uF2 [PDF]
, 2005 We introduce (1+u) constacyclic and cyclic codes over the ring F2+uF2={0,1,u,ū=u+1}, where u2=0, and study them by analogy with the Z4 case. We prove that the Gray image of a linear (1+u) constacyclic code over F2+uF2 of length n is a binary distance ...
Jian-Fa Qian +5 more
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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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A family of constacyclic codes over a class of non-chain rings A q,r and new quantum codes
, 2021 International audienceFor a prime p, let F q 2 be the finite field of q 2 elements where q = p m and m ≥ 1 is an integer. In this paper, we study constacyclic and skew constacyclic codes of length n over a class of finite commutative non-chain rings A q ...
Prakash, Om +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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A class of constacyclic codes are generalized Reed-Solomon codes
, 2022 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
Liu, Hongwei, Liu, Shengwei
core
A class of constacyclic codes over Fp+vFp and its Gray image [PDF]
, 2011 We introduce a Gray map from Fp+vFp to Fp2 and study (1−2v)-constacyclic codes over Fp+vFp, where v2=v. It is proved that the image of a (1−2v)-constacyclic code of length n over Fp+vFp under the Gray map is a distance-invariant linear cyclic code of ...
Liqi Wang +3 more
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, 2023 A locally recoverable code (for brevity LRC) is a code such that a symbol in any coordinate of a codeword can be repaired by using the symbols in at most r other positions. These codes are used in distributed storage systems by Microsoft Azure and Hadoop
Köroğlu, Mehmet Emin, Zengin, Rabia
core
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this study, the hull dimensions of (−2vm−1 +1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q with vm = v are determined. In addition, by using a special Gray map, a necessary condition is given under which the generator polynomial of ...
Gökgöz Gökhan, Öke Figen
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