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pro vyhledávání: '"Sehmi, Ranjeet"'
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
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
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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Publikováno v:
In Discrete Applied Mathematics 15 June 2020 280:162-170
Publikováno v:
In Discrete Applied Mathematics 15 June 2020 280:156-161
Akademický článek
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