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arxiv: quant-ph/0502001 · v1 · submitted 2005-01-31 · 🪐 quant-ph

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Nonbinary Quantum Reed-Muller Codes

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classification 🪐 quant-ph
keywords codesquantumnonbinaryreed-mulleranswerbethclassicalconditions
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We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial answer to a question raised by Grassl, Beth and Roetteler on the existence of q-ary quantum MDS codes of length n with q\le n\le q^2-1.

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