New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\)

DOI10.1007/s11128-020-2580-3OpenAlexW2999982666WikidataQ126329986 ScholiaQ126329986MaRDI QIDQ2677149

Hualu Liu, Xiu-sheng Liu

Publication date: 13 January 2023

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

Full work available at URL: https://doi.org/10.1007/s11128-020-2580-3

zbMATH Keywords

cyclic codesentanglement-assisted quantum codeshulls

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (9)

New constructions of entanglement-assisted quantum codes ⋮ New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ Constructions of quasi-twisted quantum codes ⋮ New MDS EAQECCs from constacyclic codes over finite non-chain rings ⋮ Matrix-product codes related to constacyclic codes and their applications to EAQEC codes ⋮ Hulls of double cyclic codes ⋮ QEC and EAQEC codes from cyclic codes over non-chain rings ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\) ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme

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