Double Circulant Self-Dual and LCD Codes Over Z p 2
Résumé
We study double circulant LCD codes over Z p 2 for all odd primes p, and self-dual double circulant codes over Z p 2 for primes p ≡ 1 (mod 4). We derive exact enumeration formu-lae, and asymptotic lower bounds on the minimum distance of the p-ary images of these codes by the classical Gray maps.