On the Complete Weight Enumerator of Reed-Solomon Codes
โ Scribed by Blake, Ian F.; Kith, Khun
- Book ID
- 118198453
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1991
- Tongue
- English
- Weight
- 727 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0895-4801
- DOI
- 10.1137/0404016
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The number of words of weight w in the product code of linear codes with minimum distances d, and d, is expressed in the number of low weight words of the constituent codes, provided that w <d,d, + max(d,, d<). By examples it is shown that, in general, the full weight enumerator of a product code is
MacWilliams identity for complete weight enumerators of codes over Mnxs(Fq) endowed with a non-Hamming metric is proved in [l]. We extend the notions introduced in [l] and prove a MacWilliams identity with respect to this new metric for the complete weight enumerator of linear codes over Mnxs(R) whe