Quantum codes obtained through (1+(p−2)ν)-constacyclic codes over Zp+νZp

Jagbir Singh, Prateek Mor

Abstract


This paper is concerned with, structural properties and construction of quantum codes over Zp by using (1+(p−2)ν)-Constacyclic codes over the finite commutative non-chain ring ℜ = Zp+νZp where ν2 = ν and Zp is field having p elements with characteristic p where p is prime. A Gray map is defined between ℜ and Zp2. The parameters of quantum codes over Zp are obtained by decomposing (1+(p−2)ν)-constacyclic codes into cyclic and negacyclic codes over Zp. As an application, some examples of quantum codes of arbitrary length, are also obtained.

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Published: 2021-04-05

How to Cite this Article:

Jagbir Singh, Prateek Mor, Quantum codes obtained through (1+(p−2)ν)-constacyclic codes over Zp+νZp, J. Math. Comput. Sci., 11 (2021), 2583-2592

Copyright © 2021 Jagbir Singh, Prateek Mor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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