Constacyclic codes over 𝑭𝒒[𝒖] /〈𝒖𝟑 = 𝟎〉 and their application of constructing quantum codes-Reference-Cited by-同舟云学术

Constacyclic codes over 𝑭𝒒[𝒖] /〈𝒖𝟑 = 𝟎〉 and their application of constructing quantum codes

Published:2022-11-11 Issue: Volume: Page:
ISSN:2667-6990
Container-title:International Journal of Informatics and Applied Mathematics
language:en
Short-container-title:IJIAM

Author:

HEBBACHE Zineb¹

Affiliation:

1. National School of Built and Ground Works Engineering Francis Jeanson (ENSTP)

Abstract

Let 𝑅 = 𝐹𝑞+u𝐹𝑞+𝑢^2𝐹𝑞, 𝑢^3=0 be a finite chain ring. In this paper, we give the structure of constacyclic codes over 𝑅 and obtain self-orthogonal codes over 𝐹𝑞 by using the Gray map from 𝑅𝑛 to 𝐹𝑞^(3𝑛). As an application, we present a construction of quantum codes from the codes obtained from this class.

Publisher

International Association of Academics

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