APPLICATION OF CONSTACYCLIC CODES OVER THE SEMI LOCAL RING F-pm + vF(pm)

Bag T., Dertli A., Cengellenmis Y., Upadhyay A. K.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.51, no.1, pp.265-275, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1007/s13226-020-0399-3
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.265-275
  • Keywords: Gray map, cyclic code, negacyclic code, constacyclic codes, quantum codes, CYCLIC CODES, QUANTUM
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we study the quantum codes over , which are obtained from (lambda(1) + lambda(2))-constacyclic codes over the semi local ring , where v(2) = 1, p is odd prime. We decompose a (lambda(1) + lambda(2))-constacyclic code over into two constacyclic codes over such as (lambda(1) + lambda(2))-constacyclic and (lambda(1)-lambda(2))-constacyclic. We give the necessary and sufficient condition that the (lambda(1) + v lambda(2))-constacyclic codes over contain their duals. We give some examples of non binary quantum codes.