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pro vyhledávání: '"Dutt, Sucheta"'
In this paper, a unique form of generators of a constacyclic code of arbitrary length over a non-chain ring of the type $\mathtt{R_{_{\theta}}}=Z_{4}+\nu Z_{4}, \nu^{2}=\theta \in Z_{4}+\nu Z_{4}$ has been obtained. Further, rank and cardinality of a
Externí odkaz:
http://arxiv.org/abs/2407.08193
Autor:
Garg Disha, Dutt Sucheta
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 3, Pp 75-88 (2024)
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring ℛ with residue field 𝔽q, where m is arbitrary and q ≡ 1(mod n). Further, we have obtained a necessary and sufficient condition
Externí odkaz:
https://doaj.org/article/55cbd66b00fe4c6d891a9fd9d4123bf6
Let k be an arbitrary element of a finite commutative chain ring R and u be a unit in R. In this work, we present necessary conditions which are sufficient as well for a cyclic code to be a (u,k) reversible complement code over R. Using these conditi
Externí odkaz:
http://arxiv.org/abs/2308.00642
In this paper, necessary and sufficient conditions for the reversibility of a cyclic code of arbitrary length over a finite commutative chain ring have been derived. MDS reversible cyclic codes having length p^s over a finite chain ring with nilpoten
Externí odkaz:
http://arxiv.org/abs/2307.09156
In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings $Z_{4}+\nu Z_{4}$ for $\nu^{2} \in \{0,1,\nu,2\nu,3\nu,2+\nu,2+3\nu,3+2\nu\}$ to be a reversible cyclic code have been established. Also
Externí odkaz:
http://arxiv.org/abs/2304.02913
In this work, a unique set of generators for a cyclic code over a finite chain ring has been established. The minimal spanning set and rank of the code have also been determined. Further, sufficient as well as necessary conditions for a cyclic code t
Externí odkaz:
http://arxiv.org/abs/2303.15819
Autor:
Disha, Dutt, Sucheta
The aim of this paper is to determine the algebraic structure of multidimensional cyclic codes over a finite chain ring $\mathfrak{R}$. An algorithm to find the generator polynomials of $n$ dimensional ($n$D) cyclic codes of length $m_{1}m_{2}\dots m
Externí odkaz:
http://arxiv.org/abs/2303.07881
The rings $Z_{4}+\nu Z_{4}$ have been classified into chain rings and non-chain rings on the basis of the values of $\nu^{2} \in Z_{4}+\nu Z_{4}.$ In this paper, the structure of cyclic codes of arbitrary length over the rings $Z_{4}+\nu Z_{4}$ for t
Externí odkaz:
http://arxiv.org/abs/2303.07800
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Autor:
Garg, Arpana, Dutt, Sucheta
Publikováno v:
In Discrete Applied Mathematics 15 October 2020 285:581-590