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On the Complete Weight Enumerator of Reed-Solomon Codes

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


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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

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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