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

Authors

DOI:

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

Keywords:

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

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.

Received: 19 February 2019 | Accepted: 22 September 2019

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Published

2020-05-07

How to Cite

Gildea, J., Kaya, A., Tylyshchak, A., & Yildiz, B. (2020). A modified bordered construction for self-dual codes from group rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(2), 103–119. https://doi.org/10.13069/jacodesmath.729402

Issue

Vol. 7 Issue 2: May 2020

Section

Articles