An identity between the m-spotty weight enumerators of a linear code and its dual


Siap I.

TURKISH JOURNAL OF MATHEMATICS, vol.36, no.4, pp.641-650, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.3906/mat-1103-55
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Page Numbers: pp.641-650

Abstract

The m-spotty byte error control codes Provide a good source for detecting and correcting errors in semiconductor memory systems using high density RAM chips with wide I/O data (e.g. 8, 16, or 32 bits). m-spotty byte error control codes are very suitable for burst correction. Here, we introduce the to m-spotty weights and la-spotty weight enumerator of linear codes over the ring F-2 + uF(2) and prove a MacWilliams type identity.