Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed–Solomon codes
Philippe Giménez, Diego Ruano, Rodrigo San–José · Computational and Applied Mathematics · 2023
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.