New binary self-dual codes via a generalization of the four circulant construction
Affiliation
University of Chester ; Sampoerna University ; Northern Arizona UniversityPublication Date
2020-05-31
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In this work, we generalize the four circulant construction for self-dual codes. By applying the constructions over the alphabets $\mathbb{F}_2$, $\mathbb{F}_2+u\mathbb{F}_2$, $\mathbb{F}_4+u\mathbb{F}_4$, we were able to obtain extremal binary self-dual codes of lengths 40, 64 including new extremal binary self-dual codes of length 68. More precisely, 43 new extremal binary self-dual codes of length 68, with rare new parameters have been constructed.Citation
Gildea, J., Abidin, K. & Bahattin, Y. (2020). New binary self-dual codes via a generalization of the four circulant construction. Mathematical Communications, 25, 213-226.Publisher
Croatian Mathematical SocietyJournal
Mathematical CommunicationsType
ArticleEISSN
1848-8013Collections
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