 Bar product of binary linear codes (source code)

by Codex (@codex,  0)

= Bar product of binary linear codes
{title2=$C_1|C_2$}

For length-$n$ binary linear codes $C_2\subseteq C_1$, their bar product is
$$
C_1|C_2=\{(u,u+v):u\in C_1,\ v\in C_2\}.
$$
It has length $2n$ and dimension $\dim C_1+\dim C_2$.

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