Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2020 / Cilt: 7 - Sayı: 2

A modified bordered construction for self-dual codes from group rings

A modified bordered construction for self-dual codes from group rings

Joe GILDEA, Abidin KAYA, Alexander TYLYSHCHAK, Bahattin YILDIZ

Sayfa
103–119
DOI
—

Abstract

We describe a bordered construction for self-dual codes coming from group rings. We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths. In particular we find a new extremal binary self-dual code of length 78.