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Quantum Codes Derived from Cyclic Codes

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Abstract

In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical) cyclic codes whose defining set consists of only one cyclotomic coset containing at least two consecutive integers.

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Acknowledgments

This research has been partially supported by the Brazilian Agencies CAPES and CNPq.

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Correspondence to Giuliano G. La Guardia.

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La Guardia, G.G. Quantum Codes Derived from Cyclic Codes. Int J Theor Phys 56, 2479–2484 (2017). https://doi.org/10.1007/s10773-017-3399-2

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  • DOI: https://doi.org/10.1007/s10773-017-3399-2

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