Title :
The third support weight enumerators of the doubly-even, self-dual [32,16,8] codes
Author :
Milenkovic, Olgica ; Coffey, Sean T. ; Compton, Kevin J.
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Colorado, Boulder, CO, USA
fDate :
3/1/2003 12:00:00 AM
Abstract :
We present combinatorial methods for computing the third support weight enumerators of the five doubly-even, self-dual [32,16,8] codes. The methods exploit relationships that exist between support weight enumerators and complete coset weight enumerators of a self-dual code.
Keywords :
binary codes; combinatorial mathematics; dual codes; linear codes; algebraic coding theory; binary code; combinatorial methods; coset weight; doubly-even codes; linear code; linear codes; self-dual codes; third support weight enumerators; Cryptography; Electronic mail; Hamming weight; Information theory; Instruments; Linear code; Terminology;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.808115