Quadruple Bordered Constructions of Self-Dual Codes from Group Rings
AffiliationUniversity of Scranton; University of Chester; Sampoerna University
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AbstractIn this paper, we introduce a new bordered construction for self-dual codes using group rings. We consider constructions over the binary field, the family of rings Rk and the ring F4 + uF4. We use groups of order 4, 12 and 20. We construct some extremal self-dual codes and non-extremal self-dual codes of length 16, 32, 48, 64 and 68. In particular, we construct 33 new extremal self-dual codes of length 68.
CitationDougherty, S., Gildea, J., & Kaya, A. (2019). Quadruple Bordered Constructions of Self-Dual Codes from Group Rings, Cryptography and Communications.
JournalCryptography and Communications
DescriptionThis is a post-peer-review, pre-copyedited version of an article published in Cryptography and Communications. The final authenticated version is available online at: https://doi.org/10.1007/s12095-019-00380-8
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/