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
fDate :
7/1/2007 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.899509
