(1+ϑ)-constacyclic codes over Z8 +ϑZ8

Swati Kharub, Dalip Singh

Abstract


In this paper, (1+ϑ)-constacyclic codes of arbitrary length m over a non-chain finite local frobenious ring Z8 + ϑZ8 are introduced. A new Gray map is constructed from Z8 + ϑZ8 to Z88 and proved that the Z8 - Gray image of (1+ϑ)-constacyclic codes having prescribed length m over the ring Z8 +ϑZ8 is a cyclic code of length 8m over the ring Z8. Moreover, it has been obtained that the binary image of the (1+ϑ)-constacyclic code of length m over Z8 +ϑZ8 is a distance invariant binary quasi-cyclic code of length 32m with index 16.

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Published: 2021-06-01

How to Cite this Article:

Swati Kharub, Dalip Singh, (1+ϑ)-constacyclic codes over Z8 +ϑZ8, J. Math. Comput. Sci., 11 (2021), 4216-4228

Copyright © 2021 Swati Kharub, Dalip Singh. 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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