Double Circulant Self-Dual and LCD Codes Over Z p 2

Daitao Huang (1) , Minjia Shi (1) , Patrick Sole (2)

1 Anhui University [Hefei]
2 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: Double circulant codes; self-dual codes; LCD codes; Artin conjecture

Domaines: Informatique [cs]

Daitao Huang, Minjia Shi, Patrick Sole. Double Circulant Self-Dual and LCD Codes Over Z p 2. International Journal of Foundations of Computer Science, 2019, 30, pp.407 - 416. ⟨10.1142/S0129054119500114⟩. ⟨hal-02411608⟩