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Double Circulant Self-Dual Codes From Generalized Cyclotomic Classes of Order Two

11/14/2019

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by Wenpeng Gao, et al.

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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.

Wenpeng Gao
4 publications
Tongjiang Yan
14 publications

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