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

Autor:	Gimenez, Philippe, Ruano, Diego, San-José, Rodrigo
Rok vydání:	2023
Předmět:	Computer Science - Information Theory Mathematics - Commutative Algebra 81P70 (Primary) 94B05 13P25 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.08121 Zobrazit plný text záznamu View this record from Arxiv