Improved constructions for nonbinary quantum BCH codes
From MaRDI portal
Publication:1705123
DOI10.1007/s10773-017-3277-yzbMath1390.81124OpenAlexW2572671490MaRDI QIDQ1705123
Publication date: 14 March 2018
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-017-3277-y
Related Items (15)
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 ⋮ New binary quantum codes constructed from quasi-cyclic codes ⋮ Unnamed Item ⋮ A family of negacyclic BCH codes of length \(n=\frac{q^{2m}-1}{2} \) ⋮ Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction ⋮ Quantum codes derived from cyclic 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 derived from negacyclic codes ⋮ Quantum codes derived from one-generator quasi-cyclic codes with Hermitian inner product ⋮ New quantum constacyclic codes with length n=2(qm+1) ⋮ New quantum codes derived from cyclic codes ⋮ Quantum cyclic codes over \( \mathbb{Z}_m \) ⋮ Hermitian dual-containing narrow-sense constacyclic BCH codes and quantum codes
Cites Work
- New optimal subsystem codes
- Entanglement-assisted quantum codes from arbitrary binary linear codes
- Constructions of new families of nonbinary CSS codes
- New optimal asymmetric quantum codes derived from negacyclic codes
- On non-binary quantum repeated-root cyclic codes
- Application of Constacyclic Codes to Quantum MDS Codes
- Extremal Channels of Gallager's $E_{0}$ Under the Basic Polarization Transformations
- New Quantum MDS Codes From Negacyclic Codes
- COMBINATORIAL CONSTRUCTION OF LINEAR QUANTUM CODES FROM QUATERNARY BCH CODES
- Asymptotic bounds on quantum codes from algebraic geometry codes
- Binary Construction of Quantum Codes of Minimum Distance Three and Four
- Nonbinary Stabilizer Codes Over Finite Fields
- On Quantum and Classical BCH Codes
- Fundamentals of Error-Correcting Codes
- Error Correcting Codes in Quantum Theory
- Enlargement of Calderbank-Shor-Steane quantum codes
- Quantum error correction via codes over GF(4)
- New Quantum MDS Codes
- Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
This page was built for publication: Improved constructions for nonbinary quantum BCH codes
