4 problems

For each integer $q\geqslant 2$, let $H_q$ be the capacity of the $q$-ary ghost-pulse constraint, and note that $H_2=H_{\rm BGP}$ and $H_3=H_{\rm TGP}$. Zero-capacity conjecture. T…

Let $H_{\rm TGP}$ and $H_{\rm BGP}$ denote the capacities of the ternary and binary ghost-pulse constraints, respectively, defined as the asymptotic base-two logarithmic growth rat…

Optimality conjecture. When $m$ is odd, the generating set $S$ of all TC-dominant length-$m$ sequences gives an $m$-secondary-structure-avoidance code with the largest rate among a…

Wolf's conjecture. The constrained BSC capacity satisfies