All the stabilizer codes of distance 3

Sixia Yu, Juergen Bierbrauer, Ying Dong +2

We give necessary and sufficient conditions for the existence of stabilizer codes $[[n,k,3]]$ of distance 3 for qubits: $n-k\ge \lceil {\log }_2(3n+1)\rceil +{\epsilon }_n$ where ${\epsilon }_n=1$ if $n=8\…