Although this site was up over 25 years it now soon will be shut down due to administrative reasons.
It will be further available on my new home page www.yvesedel.de

Some good quantum twisted codes

I give here some examples of good GF(q)-linear q²-ary quantum twisted codes for

q=2, length up to 1000

q=3, length up to 1000

q=4, length up to 1000

q=5, length up to 1000

q=7, length up to 1000

q=8, length up to 1000

q=9, length up to 1000

Codes which were obtained by Theorem 8 (standard lengthening) show an "e" in the "A" column. The distance was found by the BCH-bound. For more details and definitions see quantum twisted codes.

The tables were newly generated on 10/9/2020. The previous version contained a few wrong codes due to an error in the generating program. The wrong codes can be found here. I would like to thank Markus Grassl for pointing this out.

For nonbinary quantum codes see also, as a reference, the paper of A. Ashikhmin and E. Knill (LANL preprint, quant-ph/0005008).

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