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On self-dual four circulant codes (1709.07548v1)
Published 22 Sep 2017 in cs.IT and math.IT
Abstract: Four circulant codes form a special class of $2$-generator, index $4$, quasi-cyclic codes. Under some conditions on their generator matrices they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert-Varshamov bound.