Double Circulant Self-Dual and LCD Codes Over ℤp2

Daitao Huang, Minjia Shi, Patrick Solé · International Journal of Foundations of Computer Science · 2019

We study double circulant LCD codes over [Formula: see text] for all odd primes [Formula: see text] and self-dual double circulant codes over [Formula: see text] for primes [Formula: see text]. We derive exact enumeration formulae, and asymptotic lower bounds on the minimum distance of the [Formula: see text]-ary images of these codes by the classical Gray maps.

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