DocumentCode
2056550
Title
A method for reducing the number of unknown coefficients of generalized Hamming weight enumerators
Author
Milenkovic, Olgica ; Compton, Kevin
Author_Institution
Dept. of Electron. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fYear
2002
fDate
2002
Firstpage
234
Abstract
We describe a combinatorial method for deriving linear equations, involving coefficients of generalized Hamming weight enumerators (GHWEs) of even isodual codes, that are linearly independent from the Klove (1992) identities. These equations can be combined with some other results derived by the first author to compute the complete set of GHWEs of many isodual codes. The approach presented is based on the "gluing" theory of Pless (1998) and also applies to formally self-dual codes, but is simplest to describe for self-dual codes.
Keywords
Hamming codes; combinatorial mathematics; dual codes; Klove identities; coefficients; combinatorial method; generalized Hamming weight enumerators; gluing theory; isodual codes; linear equations; self-dual codes; Argon; Bismuth; Concatenated codes; Ear; Equations; Hamming weight; Joining processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN
0-7803-7501-7
Type
conf
DOI
10.1109/ISIT.2002.1023506
Filename
1023506
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