New quantum MDS codes over finite fields

DOI10.1007/s11128-019-2506-0OpenAlexW2991138722MaRDI QIDQ2677558

Jinquan Luo, Xiaolei Fang

Publication date: 5 January 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12441

zbMATH Keywords

generalized Reed-Solomon codequantum MDS codeHermitian constructionHermitian self-orthogonal

Mathematics Subject Classification ID

Other types of codes (94B60) Quantum coding (general) (81P70)

Related Items (10)

Two classes of quantum codes from almost MDS codes ⋮ Two new classes of Hermitian self-orthogonal non-GRS MDS codes and their applications ⋮ Some new quantum MDS codes derived from generalized Reed-Solomon codes ⋮ The maximum designed distances of dual-containing non-primitive BCH codes ⋮ Some new quantum codes from constacyclic codes ⋮ Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes ⋮ Two classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Some entanglement-assisted quantum MDS codes with large minimum distance ⋮ Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes ⋮ New constructions of quantum MDS codes over finite fields

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