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

Published 17 Apr 2023 in cs.IT, math.AC, and math.IT | (2304.08121v2)

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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