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Quadruple Bordered Constructions of Self-Dual Codes from Group Rings

Dougherty, Steven
; 
Gildea, Joe
; 
Kaya, Abidin
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University of Scranton; University of Chester; Sampoerna University
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2019-07-05
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Mathematics
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Abstract
In 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.
Citation
Dougherty, S., Gildea, J., & Kaya, A. (2019). Quadruple Bordered Constructions of Self-Dual Codes from Group Rings, Cryptography and Communications, 1-20.
Publisher
Springer
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Cryptography and Communications
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http://hdl.handle.net/10034/622357
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Article
Language
en
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This 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
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1936-2455
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https://link.springer.com/article/10.1007/s12095-019-00380-8
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