Quantum Goethals-Preparata Codes

Details Quantum Goethals-Preparata Codes Quantum Goethals-Preparata Codes

2008-01-14

arxiv.org/abs/0801.2150v1

Proceedings 2008 IEEE International Symposium on Information Theory (ISIT 2008), Toronto, Canada, July 2008, pp. 300-304

Physics

Quantum Physics

Submitted to the 2008 IEEE International Symposium on Information Theory

Scientific paper

10.1109/ISIT.2008.4594996

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.

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