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On self-dual double circulant codes (1603.00762v1)
Published 2 Mar 2016 in cs.IT and math.IT
Abstract: Self-dual double circulant codes of odd dimension are shown to be dihedral in even characteristic and consta-dihedral in odd characteristic. Exact counting formulae are derived for them and used to show they contain families of codes with relative distance satisfying a modified Gilbert-Varshamov bound.