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arXiv · 2304.08121

Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes

Philippe Gimenez·Diego Ruano·Rodrigo San-José
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Abstract

We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can construct symmetric and asymmetric entanglement-assisted quantum error-correcting codes, which in many cases have new or better parameters than the ones available in the literature.

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Philippe Gimenez, Diego Ruano, Rodrigo San-José. 2023-04-17. Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes. https://doi.org/10.1007/s40314-023-02506-4

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