Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4
An identity between the m-spotty weight enumerators of a linear code and its dual
- Pages
- 641–650
- DOI
- —
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 m-spotty weights and m-spotty weight enumerator of linear codes over the ring F2+uF2 and prove a MacWilliams type identity.
Özet
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 m-spotty weights and m-spotty weight enumerator of linear codes over the ring F2+uF2 and prove a MacWilliams type identity.