Very similar to a previous question at Smallest distance 9 self-dual CSS code? . I'm wondering whats the smallest distance 9 self dual CSS code. There is a 23 qubit distance 7 Golay code and a 47 qubit distance 11 Code but is there a distance 9 code in between these two qubit counts?

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  • $\begingroup$ What's different between this question and the one you linked? Why are you re-asking it instead of upvoting the other one? $\endgroup$ Commented Jun 10 at 22:57
  • $\begingroup$ The other question asks for any code with less than 49 qubits and has been answered with the distance 11, 47 qubit code. I'm interested specifically in the optimal distance 9 code. $\endgroup$
    – mathNoob
    Commented 2 days ago
  • $\begingroup$ @mathNoob the search I did is not exhaustive, so there could be such a code. The other question asked for a d=9 code with n<49. A d=11 code can be seen as a d=9 (or d=10) code...but I think you want one with d exactly 9. The search only considered the best known codes in GAP/GUAVA. There are many others ; maybe one that has d=9 exactly...it's probably quite a bit of work though to find it $\endgroup$
    – unknown
    Commented 2 days ago


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