On the weight enumerators of duadic and quadratic residue codes
โ Scribed by Gaborit, P.; Nedeloaia, C.-S.; Wassermann, A.
- Book ID
- 114638589
- Publisher
- IEEE
- Year
- 2005
- Tongue
- English
- Weight
- 460 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0018-9448
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๐ SIMILAR VOLUMES
In this article, we investigate the Hamming weight enumerators of self-dual codes over % O and 9 I . Using invariant theory, we determine a basis for the space of invariants to which the Hamming weight enumerators belong for self-dual codes over % O and 9 I .
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