New Extremal Binary Self-dual Codes from block circulant matrices and block quadratic residue circulant matrices
AffiliationUniversity of Chester; Sampoerna University; Uzhgorod National University; Northern Arizona University
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AbstractIn this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2 and F2 + uF2. Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.
CitationGildea, J., Kaya, A., Taylor, R., Tylyshchak, A., & Yildiz, B. (2021). New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices. Discrete Mathematics, 344(11), 112590. https://doi.org/10.1016/j.disc.2021.112590
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