Open AccessMathematics
J. Gildea, A. Kaya, A. Tylyshchak, B. Yildiz
2020.4.29Journal of Algebra Combinatorics Discrete Structures and Applications
tlooto Summary
A bordered construction for self-dual codes coming from group rings is described and a new extremal binary self- dual code of length 78 is found.
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.
Citation format
GILDEA, J., et al. A modified bordered construction for self-dual codes from group rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 2020.