Some new extremal self-dual codes with lengths 44, 50, 54, and 58
I. Boukliev, Stefka Bouyuklieva · IEEE Transactions on Information Theory · 1998
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.