I want to determine all values of $q$ such that $C$ is an $[8,k,3]$ Hamming code over $\mathbb{F}_q$. Is there a way to do this that's not just computing every possible values of $q$? Since $k$ is fixed I thought there would be a way to use this, but I don't see it.
2026-04-03 05:51:31.1775195491
Hamming codes of the form [8,k,3] over $\mathbb{F}_q$
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