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

Year 2020, Volume: 7 Issue: 2, 103 - 119, 07.05.2020

Joe Gıldea Abidin Kaya Alexander Tylyshchak Bahattin Yıldız

https://doi.org/10.13069/jacodesmath.729402

Cited By: 1

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.

Keywords

Group rings, Self-dual codes, Codes over rings, Bordered constructions

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