Quantum Goethals-Preparata Codes

  • Markus Grassl ,
  • Martin Roetteler

Proceedings IEEE International Symposium on Information Theory (ISIT'08) |

Publication | Publication

We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length and minimum distance.