On new quantum codes from matrix product codes

DOI10.1007/s12095-017-0242-9zbMath1382.81068arXiv1604.05823OpenAlexW2960808354MaRDI QIDQ1704198

Long Yu, Hualu Liu, Hai Quang Dinh, Xiu-sheng Liu

Publication date: 9 March 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05823

zbMATH Keywords

quantum codesHermitian constructionmatrix product codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15) Quantum coding (general) (81P70)

Related Items

Quasi-cyclic constructions of asymmetric quantum error-correcting codes, Construction of new quantum codes via Hermitian dual-containing matrix-product codes, Application of Euclidean sums of matrix-product codes to quantum codes, Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2}+v_1 \mathbb{F}_{q^2}+\cdots +v_r \mathbb{F}_{q^2}\) and new quantum codes, Matrix-product codes related to constacyclic codes and their applications to EAQEC codes, Matrix-product codes over commutative rings and constructions arising from \((\sigma,\delta)\)-codes, New stabilizer codes from the construction of dual-containing matrix-product codes, Good rate QECCs from the quantum construction \(X\)

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