90 citations · 289 across the 7 of their papers we have counts for
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quant-ph2008★ 26 cited
Quantum Goethals-Preparata Codes
Markus Grassl, Martin Roetteler
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 t…
quant-ph2008★ 20 cited
Non-Additive Quantum Codes from Goethals and Preparata Codes
Markus Grassl, Martin Roetteler
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 no…