DocumentCode
1015789
Title
The Higher Weight Enumerators of the Doubly-Even, Self-Dual [48, 24, 12] Code
Author
Britz, Dieter ; Britz, Thomas ; Shiromoto, Keisuke ; SØrensen, Henrik Kragh
Author_Institution
Univ. of Aarhus, Arhus
Volume
53
Issue
7
fYear
2007
fDate
7/1/2007 12:00:00 AM
Firstpage
2567
Lastpage
2571
Abstract
An efficient algorithm is presented for calculating higher weight enumerators of linear codes given generator matrices. By this algorithm, the higher weight enumerators of the unique doubly-even, self-dual code are calculated. The algorithm is based on a previously shown relationship between Tutte polynomials and higher weight enumerators.
Keywords
Hamming codes; dual codes; linear codes; Tutte polynomials; doubly-even self-dual code; generalized Hamming weight; generator matrices; higher weight enumerators; linear codes; Australia; Chemistry; Cryptography; Galois fields; Hamming weight; Information systems; Linear code; Mathematics; Polynomials; Statistics; Generalized Hamming weight; Tutte polynomial; higher weight enumerator; matroid; self-dual code;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2007.899509
Filename
4252321
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