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

Joe Gildea, Abidin Kaya, Alexander Tylyshchak, Bahattin Yildiz

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Published: May 7, 2020

DOI: 10.13069/jacodesmath.729402

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Source 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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A modified bordered construction for self-dual codes from group rings — Mathematical Frontier Network