Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\)
From MaRDI portal
Publication:2104765
DOI10.1007/s11128-022-03685-5OpenAlexW4297996563MaRDI QIDQ2104765
Publication date: 7 December 2022
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-022-03685-5
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
Related Items
New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ New MDS operator quantum error-correcting codes derived from constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\) ⋮ New MDS EAQECCs from constacyclic codes over finite non-chain rings
Uses Software
Cites Work
- New entanglement-assisted MDS quantum codes from constacyclic codes
- Constructions of new entanglement-assisted quantum MDS and almost MDS codes
- Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- Quantum codes derived from negacyclic codes
- The Magma algebra system. I: The user language
- On MDS linear complementary dual codes and entanglement-assisted quantum codes
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- Constructions of good entanglement-assisted quantum error correcting codes
- Entanglement-assisted quantum MDS codes constructed from negacyclic codes
- Entanglement-assisted quantum MDS codes constructed from constacyclic codes
- Constructions of symplectic LCD MDS codes
- Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
- \(\mathbb{Z}_p \mathbb{Z}_p[v\)-additive cyclic codes are asymptotically good]
- Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m}\)
- Entanglement-assisted quantum codes from matrix-product codes
- Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
- Entanglement-assisted quantum error correction codes with length \(n=q^2+1\)
- \(n\)-dimension quasi-twisted codes of arbitrary length over finite fields
- Complete weight enumerator of torsion codes
- Two families of entanglement-assisted quantum MDS codes from constacyclic codes
- Some results on \( \mathbb{Z}_p\mathbb{Z}_p[v \)-additive cyclic codes]
- A class of skew cyclic codes and application in quantum codes construction
- Quantum codes and entanglement-assisted quantum codes derived from one-generator quasi-twisted codes
- Two families of entanglement-assisted quantum MDS codes from cyclic codes
- New entanglement-assisted quantum MDS codes with maximal entanglement
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\)
- Entanglement-assisted quantum codes from cyclic codes and negacyclic codes
- New EAQEC codes constructed from Galois LCD codes
- Entanglement-assisted quantum MDS codes from cyclic codes
- New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\)
- New classes of entanglement-assisted quantum MDS codes
- Three classes of new EAQEC MDS codes
- Application of Constacyclic Codes to Quantum MDS Codes
- Correcting Quantum Errors with Entanglement
- Fundamentals of Error-Correcting Codes
- Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
- Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
- Entanglement-Assisted Quantum Turbo Codes
- Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
