New Entanglement-Assisted Quantum MDS Codes Derived From Generalized Reed-Solomon Codes
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-020-04403-6
Abstract: Entanglement-assisted quantum error-correcting codes (abbreviate to EAQECCs) expand the usual paradigm of quantum error correction by allowing two parties to make use of pre-shared entanglement. It is well-known that we can construct an EAQECC from… read more here.
Keywords: assisted quantum; reed solomon; quantum mds; generalized reed ... See more keywords
Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes
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DOI: 10.1007/s12095-017-0274-1
Abstract: Quantum maximum-distance-separable (MDS) codes are a significant class of quantum codes. In this paper, we mainly utilize classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct five new classes of quantum MDS codes with large minimum… read more here.
Keywords: mds codes; reed solomon; distance; generalized reed ... See more keywords
MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3190676
Abstract: Twisted generalized Reed-Solomon (TGRS) codes are a family of codes that contains a large number of maximum distance separable (MDS) codes that are non-equivalent to generalized Reed-Solomon (GRS) codes. In this paper, we characterize a… read more here.
Keywords: mds; reed solomon; self dual; generalized reed ... See more keywords