# Stabilizer code

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An $[n,k]$ stabilizer code is defined to be the vector space $V_S$ stabilized by a subgroup $S$ of $G_n$ such that $-I\notin S$ and $S$ has $n-k$ independent and commuting generators, $S=\langle g_1,\ldots,g_{n-k}\rangle$. These conditions are are required so that the vector space stabilized is non-trivial. Denote this code $C(S)$.

## References

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