3 problems

Decreasing normalized count conjecture. The sequence $\{a_k,\ k=10,11,12,\dots\}$ is decreasing. This conjecture concerns the growth of the number of inequivalent binary self-dual…

Let $p>5$ be an odd prime, let $C_{NQ}\subset {\mathbb F}^{2p}$ be the quasi-quadratic residue code, and let $C'$ be the code spanned by $C_{NQ}$ and the all-ones codeword. Let…

Let $C$ be a binary linear self-dual $[72,36,16]$ code, and let $\sigma$ be a permutation in its permutation automorphism group $\operatorname{PAut}(C)$. Automorphism-group conject…