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, cilt.51, sa.1, ss.265-275, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s13226-020-0399-3
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.265-275
  • Anahtar Kelimeler: Gray map, cyclic code, negacyclic code, constacyclic codes, quantum codes, CYCLIC CODES, QUANTUM
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.