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

Joe Gildea; Abidin Kaya; Alexander Tylyshchak; Bahattin Yildiz

doi:10.13069/jacodesmath.729402

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

Joe Gildea, Abidin Kaya, Alexander Tylyshchak, Bahattin Yildiz

Informatics, Computing, and Cyber Systems, School of

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	103-119
Number of pages	17
Journal	Journal of Algebra Combinatorics Discrete Structures and Applications
Volume	7
Issue number	2
DOIs	https://doi.org/10.13069/jacodesmath.729402
State	Published - May 7 2020

Keywords

Bordered constructions
Codes over rings
Group rings
Self-dual codes

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.13069/jacodesmath.729402

Cite this

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title = "A modified bordered construction for self-dual codes from group rings",

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

author = "Joe Gildea and Abidin Kaya and Alexander Tylyshchak and Bahattin Yildiz",

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AU - Gildea, Joe

AU - Kaya, Abidin

AU - Tylyshchak, Alexander

AU - Yildiz, Bahattin

PY - 2020/5/7

Y1 - 2020/5/7

N2 - 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.

AB - 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.

KW - Bordered constructions

KW - Codes over rings

KW - Group rings

KW - Self-dual codes

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JF - Journal of Algebra Combinatorics Discrete Structures and Applications

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

Abstract

Keywords

ASJC Scopus subject areas

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