The MacWilliams identity for m-spotty weight enumerators of linear codes over finite fields

Ozen M., Siap V.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.4, ss.1000-1004, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2010.12.048
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1000-1004
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

Some of the error control codes are applied to high speed memory systems using RAM chips with either 1-bit I/O data (b = 1) or 4-bit I/O data (to = 4). However, modern large-capacity memory systems use RAM chips with 8, 16, or 32 bits of I/O data. A new class of codes called m-spotty byte error codes provides a good source for correcting/detecting errors in those memory systems that use high-density RAM chips with wide I/O data (e.g. 8, 16, or 32 bits). The MacWilliams identity provides the relation of weight distribution of a code and that of its dual code. The main purpose of this paper is to present a version of the MacWilliams identity for m-spotty weight enumerators of linear codes over arbitrary finite fields. (C) 2010 Elsevier Ltd. All rights reserved.