3 problems

Let $m\ge 3$ be an odd integer, let $\alpha$ be a primitive element of $\operatorname{GF}(3^m)$, and let $\mathcal C_1$ and $\mathcal C_2$ be the ternary linear codes defined above…

Let $m\ge 3$ be an odd integer, let $\alpha$ be a primitive element of $\operatorname{GF}(3^m)$, and let $\mathcal C_1$ and $\mathcal C_2$ be the ternary linear codes defined by ……

A self-dual $[24,12,6]$ code is a ternary self-dual linear code of length $24$, dimension $12$, and minimum weight $6$; its automorphism group consists of the coordinate permutatio…