Title :
Extremal self-dual codes with an automorphism of order 2
Author :
Buyuklieva, Stefka ; Boukliev, Iliya
Author_Institution :
Fac. of Math. & Inf., Univ. of Veliko Tarnovo, Veliko Tarnova, Bulgaria
fDate :
1/1/1998 12:00:00 AM
Abstract :
A method to design binary self-dual codes with an automorphism of order two without fixed points is presented. Extremal self-dual codes with lengths 40, 42, 44, 54, 58, 68 are constructed. Many of them have weight enumerators for which extremal codes were previously not known to exist
Keywords :
binary sequences; cyclic codes; dual codes; automorphism; binary self-dual codes; code length; extremal self-dual codes; generator matrix; singly-even self-dual codes; weight enumerators; Design methodology; Heuristic algorithms; Informatics; Linear code; Mathematics; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
