Constacyclic codes over the ring and their applications
Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India
Accepted: 19 October 2021
Published online: 6 December 2021
The objective of this paper is to investigate the structural properties of -constacyclic codes over the ring for odd prime p. Precisely, we prove that the Gray image of a constacyclic code of length n over this ring is a quasi-constacyclic code of length 6n. Further, some non-trivial examples of constacyclic codes over this ring have been computed. As an application, we have obtained non-binary quantum codes from these classes of constacyclic codes.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021