3 problems

Complete-transitivity conjecture for the codes. Under these divisibility conditions, $C^{(i)}$ is a completely transitive code.

Complete-transitivity conjecture for the extended codes. When one of these divisibility conditions is satisfied, $C^{(i)*}$ is a completely transitive code.

Let $C^{(i)}$ be the nested binary codes defined in the paper, with parameter $u$ and $i ein{0,1,ldots,u}$. Complete transitivity conjecture. The code $C^{(i)}$ is completely t…