Quantum codes derived from cyclic codes

DOI10.1007/s10773-017-3399-2zbMath1383.81065arXiv1705.00239OpenAlexW2607546259MaRDI QIDQ1700825

Giuliano G. La Guardia

Publication date: 22 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00239

zbMATH Keywords

cyclic codesquantum codescyclotomic coset

Mathematics Subject Classification ID

Quantum coding (general) (81P70)

Related Items (18)

Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\) ⋮ \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes ⋮ Unnamed Item ⋮ Quantum codes from (1 − 2v)-constacyclic codes over the ring 𝔽q + u𝔽q + v𝔽q + uv𝔽q ⋮ A new construction of quantum codes from quasi-cyclic codes over finite fields ⋮ New quantum stabilizer codes with better parameters from the images of some RS codes and BCH codes ⋮ Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring ⋮ 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 ⋮ Quantum codes from Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\) ⋮ Good classical and quantum codes from multi-twisted codes ⋮ Some families of quantum BCH codes ⋮ Constacyclic codes over the ring \(\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q\) and their applications of constructing new non-binary quantum codes ⋮ Quantum codes obtained from constacyclic codes ⋮ Quantum codes derived from negacyclic codes ⋮ Two families of BCH codes and new quantum codes ⋮ Quantum codes derived from one-generator quasi-cyclic codes with Hermitian inner product ⋮ New quantum codes derived from cyclic codes ⋮ Some new classes of quantum BCH codes

Cites Work

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• Improved constructions for nonbinary quantum BCH codes
• On the Construction of Nonbinary Quantum BCH Codes
• Nonbinary Stabilizer Codes Over Finite Fields
• On Quantum and Classical BCH Codes
• Fundamentals of Error-Correcting Codes
• Quantum twisted codes
• Quantum error correction via codes over GF(4)
• New Quantum MDS Codes

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