Double Circulant Self-Dual and LCD Codes Over ℤp2.

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 formulae, and asymptotic lower bounds on the minimum distance of the p -ary images of these codes by the classical Gray maps. [ABSTRACT FROM AUTHOR]