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
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;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023506
