Title :
Some new extremal self-dual codes with lengths 44, 50, 54, and 58
Author :
Boukliev, Ilya ; Buyuklieva, Stefka
Author_Institution :
Inst. of Math., Bulgarian Acad. of Sci., Sofia, Bulgaria
fDate :
3/1/1998 12:00:00 AM
Abstract :
We construct extremal self-dual codes with lengths 44, 50, 54, and 58. They have weight enumerators for which extremal codes were previously not known to exist. Two methods are used for constructing the codes using self dual codes of same or smaller length. To obtain the codes we use a combinatorial optimization search
Keywords :
combinatorial mathematics; dual codes; optimisation; search problems; code lengths; extremal self-dual codes; weight enumerators; Cryptography; Lattices;
Journal_Title :
Information Theory, IEEE Transactions on
