A modified bordered construction for self-dual codes from group rings
Joe Gildea, Abidin Kaya, Alexander Tylyshchak, Bahattin Yıldız · Journal of Algebra Combinatorics Discrete Structures and Applications · 2020
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. Received: 19 February 2019 | Accepted: 22 September 2019