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New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices

In 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.

preprint2020arXivOpen access
Joe GildeaAbidin KayaRhian TaylorAlexander TylyshchakBahattin Yildiz
math.COmath.RA
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Open access5 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Joe GildeaAbidin KayaRhian TaylorAlexander TylyshchakBahattin Yildiz

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