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Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes of Order Two (1911.06130v2)
Published 14 Nov 2019 in cs.IT and math.IT
Abstract: In this paper, constructions of some double circulant self-dual codes by generalized cyclotomic classes of order two are presented. This technique is applied to [72, 36, 12] binary highest know self-dual codes to obtain self-dual codes over GF(2) and [32, 16, 8] almost optimal self-dual codes over GF(4). Based on the properties of generalized cyclotomy, some of these codes can be proved to possess good minimum weights.