Constructions of quantum MDS codes

DOI10.1007/s11128-020-02949-2OpenAlexW3119521111MaRDI QIDQ2684201

Hualu Liu, Xiu-sheng Liu

Publication date: 16 February 2023

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

Full work available at URL: https://arxiv.org/abs/2002.06040

zbMATH Keywords

GRS codesquantum MDS codes\(s\)-Galois dual codes

Mathematics Subject Classification ID

Other types of codes (94B60) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (7)

Two classes of quantum codes from almost MDS codes ⋮ New MDS operator quantum error-correcting codes derived from constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\) ⋮ Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring ⋮ Application of Euclidean sums of matrix-product codes to quantum codes ⋮ Stabilizer quantum codes defined by trace-depending polynomials ⋮ Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes ⋮ QEC and EAQEC codes from cyclic codes over non-chain rings

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