New quantum constacyclic codes

DOI10.1007/s11128-019-2242-5zbMath1504.94233OpenAlexW2925099553MaRDI QIDQ2100740

Ruihu Li, Guanmin Guo, Yang Liu, Jun-Li Wang

Publication date: 25 November 2022

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

Full work available at URL: https://doi.org/10.1007/s11128-019-2242-5

zbMATH Keywords

quantum codeconstacyclic codecyclotomic cosetHermitian dual-containing code

Mathematics Subject Classification ID

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

Related Items (14)

\(\mathbb{F}_q\)-linear skew cyclic codes over \(\mathbb{F}_{q^2}\) and their applications of quantum codes construction ⋮ Entanglement-assisted quantum codes from cyclic codes and negacyclic codes ⋮ Some negacyclic BCH codes and quantum codes ⋮ Improved construction of quantum constacyclic BCH codes ⋮ On steane-enlargement of quantum codes from Cartesian product point sets ⋮ Construction of new quantum codes via Hermitian dual-containing matrix-product codes ⋮ New quantum codes from the images of cyclic codes ⋮ A class of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ A family of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ Two families of BCH codes and new quantum codes ⋮ New quantum constacyclic codes with length n=2(qm+1) ⋮ New quantum codes derived from images of cyclic codes ⋮ Hermitian dual-containing narrow-sense constacyclic BCH codes and quantum codes ⋮ Entanglement-assisted quantum error correction codes with length \(n=q^2+1\)

Uses Software

• Magma

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