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paper

Quantum Goethals-Preparata Codes

arXiv:0801.2150 · doi:10.1109/ISIT.2008.4594996

Abstract

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.

Submitted to the 2008 IEEE International Symposium on Information Theory