Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68
AffiliationUniversity of Chester; University of Chester; Sampoerna University; Northern Arizona University
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AbstractIn this work we consider modiﬁed versions of quadratic double circulant and quadratic bordered double circulant constructions over the binary ﬁeld and the rings F2 +uF2 and F4 +uF4 for diﬀerent prime values of p. Using these constructions with extensions and neighbors we are able to construct a number of extremal binary self-dual codes of diﬀerent lengths with new parameters in their weight enumerators. In particular we construct 2 new codes of length 64, 4 new codes of length 66 and 14 new codes of length 68. The binary generator matrices of the new codes are available online at .
CitationGildea, J., Hamilton, H., Kaya, A. & Yildiz, B. (2020-forthcoming). Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68, Information Processing Letters, 157, 105927.
JournalInformation Processing Letters
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