Two classes of quantum codes from almost MDS codes
From MaRDI portal
Publication:6086680
DOI10.1142/s0219749923500326MaRDI QIDQ6086680
Zhonghua Sun, Shixin Zhu, Xinyue Liu
Publication date: 10 November 2023
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Linear codes (general theory) (94B05) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Finite ground fields in algebraic geometry (14G15) Quantum coding (general) (81P70)
Cites Work
- Unnamed Item
- Construction of quantum caps in projective space \(\mathrm{PG}(r,4)\) and quantum codes of distance 4
- New \(q\)-ary quantum MDS codes with distances bigger than \(\frac{q}{2}\)
- Some constructions of quantum MDS codes
- Two new classes of quantum MDS codes
- Constructions of good entanglement-assisted quantum error correcting codes
- On the construction of quantum MDS codes
- Ovoids in \(\text{PG}(3,q)\): A survey
- Ternary optimal quantum codes constructed from caps in \(PG(k, 9)\) (\(k \geq 2\))
- Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes
- Construction of some new quantum MDS codes
- New quantum MDS codes over finite fields
- Constructions of quantum MDS codes
- Three classes of optimal Hermitian dual-containing codes and quantum codes
- Quantum Codes Derived From Certain Classes of Polynomials
- Application of Constacyclic Codes to Quantum MDS Codes
- A Construction of New Quantum MDS Codes
- Constacyclic Codes and Some New Quantum MDS Codes
- Nonbinary Stabilizer Codes Over Finite Fields
- On Quantum and Classical BCH Codes
- Nonbinary quantum stabilizer codes
- ON OPTIMAL QUANTUM CODES
- Quantum error correction via codes over GF(4)
- Some New Constructions of Quantum MDS Codes
- Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
- All the Stabilizer Codes of Distance 3
- LCD Cyclic Codes Over Finite Fields