DocumentCode
2061345
Title
Weight enumerators of duadic and quadratic residue codes
Author
Gaborit, Philippe ; Nedeloaia, Carmen-Simona ; Wassermann, Alfred
Author_Institution
LACO, Limoges Univ., France
fYear
2004
fDate
27 June-2 July 2004
Firstpage
485
Abstract
We compute the weight enumerators of various quadratic residue (QR) codes over F2 and F3, together with certain codes of related families like the duadic codes. We use a parallel algorithm to find the number of codewords of a given (not too high) weight, from which we deduce by usual classical methods for selfdual and isodual codes over F2 and F3 their associated, previously unknown, weight enumerators. We compute weight enumerators for lengths as high as 152 for binary codes (except for n=138 for which one lacks the number of codewords of weight 34) and 84 for ternary codes.
Keywords
binary codes; dual codes; parallel algorithms; residue codes; ternary codes; QR; binary codes; duadic codes; isodual codes; parallel algorithm; quadratic residue codes; selfdual codes; ternary codes; weight enumerators; Binary codes; Concurrent computing; Parallel algorithms; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN
0-7803-8280-3
Type
conf
DOI
10.1109/ISIT.2004.1365525
Filename
1365525
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