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Non-Additive Quantum Codes from Goethals and Preparata Codes

arXiv:0801.2144 · doi:10.1109/ITW.2008.4578694

Abstract

We extend the stabilizer formalism to a class of non-additive quantum codes which are constructed from non-linear classical codes. As an example, we present infinite families of non-additive codes which are derived from Goethals and Preparata codes.

submitted to the 2008 IEEE Information Theory Workshop (ITW 2008)