Two families of entanglement-assisted quantum MDS codes from cyclic codes
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Publication:2239546
DOI10.1007/s10773-021-04802-3OpenAlexW3101047909MaRDI QIDQ2239546
Jinshen Ren, Hao Cao, Ruihu Li, Liangdong Lu, Wen-Ping Ma
Publication date: 5 November 2021
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.12232
Theory of error-correcting codes and error-detecting codes (94Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)
Related Items (3)
New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\)
Cites Work
- Unnamed Item
- Entanglement-assisted quantum codes from arbitrary binary linear codes
- New entanglement-assisted MDS quantum codes from constacyclic codes
- Constructions of new entanglement-assisted quantum MDS and almost MDS codes
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- On MDS linear complementary dual codes and entanglement-assisted quantum codes
- Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
- Constructions of good entanglement-assisted quantum error correcting codes
- Entanglement-assisted quantum MDS codes constructed from negacyclic codes
- Entanglement-assisted quantum MDS codes from negacyclic codes
- Application of constacyclic codes to entanglement-assisted quantum maximum distance separable codes
- Entanglement-assisted quantum MDS codes constructed from constacyclic codes
- Some new quantum MDS codes from generalized Reed-Solomon codes
- Quantum MDS codes with relatively large minimum distance from Hermitian self-orthogonal codes
- Dualities and identities for entanglement-assisted quantum codes
- New entanglement-assisted quantum MDS codes with larger minimum distance
- New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\)
- Entanglement-assisted quantum codes constructed from primitive quaternary BCH codes
- Some New Classes of Quantum MDS Codes From Constacyclic Codes
- Application of Constacyclic Codes to Quantum MDS Codes
- Constacyclic Codes and Some New Quantum MDS Codes
- Duality in Entanglement-Assisted Quantum Error Correction
- Correcting Quantum Errors with Entanglement
- Nonbinary Stabilizer Codes Over Finite Fields
- Fundamentals of Error-Correcting Codes
- MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction
- High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement
- Entanglement-Assisted Quantum Turbo Codes
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