New quasi-cyclic codes over F-5

Aydin N., Siap I.

APPLIED MATHEMATICS LETTERS, cilt.15, ss.833-836, 2002 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 15 Konu: 7
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0893-9659(02)00050-2
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayısı: ss.833-836

Özet

One of the most important problems of coding theory is to construct codes with best possible minimum distances. In this paper, we use the algebraic structure of quasi-cyclic codes and the BCH type bound on the minimum distance to search for quasi-cyclic codes over F-5, the finite field with five elements, which improve the minimum distances of best-known linear codes. We construct 15 new linear codes of this type. (C) 2002 Elsevier Science Ltd. All rights reserved.