Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings

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Authors
Gildea, Joe
Kaya, Abidin
Taylor, Rhian
Tylyshchak, Alexander
Affiliation
University of Chester; Sampoerna University; Uzhgorod State University

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Abstract
In this work, we describe a double bordered construction of self-dual codes from group rings. We show that this construction is effective for groups of order 2p where p is odd, over the rings F2 + uF2 and F4 + uF4. We demonstrate the importance of this new construction by finding many new binary self-dual codes of lengths 64, 68 and 80; the new codes and their corresponding weight enumerators are listed in several tables
Citation
Gildea, J., Abidin, K., Taylor, R. & Tylyshchak, A. (2020). Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings. Cryptography and Communications, 1–16.
Publisher
Springer
Journal
Cryptography and Communications
URI
http://hdl.handle.net/10034/622870
Type
Article
Description
This is a post-peer-review, pre-copyedit version of an article published in Cryptography and Communications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12095-019-00420-3
EISSN
1936-2455
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https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/