EAQECCs derived from constacyclic codes over finite non-chain rings
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Publication:6671084
DOI10.1007/s11128-024-04606-4MaRDI QIDQ6671084
Shixin Zhu, Xin-xin Zhang, Liqi Wang
Publication date: 24 January 2025
Published in: Quantum Information Processing (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Quantum computation (81P68) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
Cites Work
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- New quantum codes from dual-containing cyclic codes over finite rings
- New entanglement-assisted quantum codes from \(k\)-Galois dual codes
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
- Constructions of good entanglement-assisted quantum error correcting codes
- Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)]
- A new family of EAQMDS codes constructed from constacyclic codes
- New quantum codes from constacyclic codes over the ring \(R_{k,m}\)
- Entanglement-assisted quantum codes from matrix-product codes
- Linear codes with arbitrary dimensional hull and their applications to EAQECCs
- QEC and EAQEC codes from cyclic codes over non-chain rings
- Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes
- Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\)
- Hermitian dual-containing narrow-sense constacyclic BCH codes and quantum codes
- Application of GRS codes to some entanglement-assisted quantum MDS codes
- New constructions of quantum MDS codes over finite fields
- New constructions of entanglement-assisted quantum codes
- Hermitian LCD codes over \(\mathbb{F}_{q^2}+u \mathbb{F}_{q^2}\) and their applications to maximal entanglement EAQECCs
- A study of quantum codes obtained from cyclic codes over a non-chain ring
- New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)]
- A class of constacyclic BCH codes and new quantum codes
- Construction of new quantum codes derived from constacyclic codes over \(\mathbb{F}_{q^2}+u\mathbb{F}_{q^2}+\cdots +u^{r-1}\mathbb{F}_{q^2}\)
- New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\)
- Entanglement-assisted quantum codes from cyclic codes and negacyclic codes
- Some construction of entanglement-assisted quantum MDS codes
- New quantum codes from constacyclic codes over a non-chain ring
- Quantum codes from cyclic codes over š½q+vš½q+v2š½q+v3š½q
- Application of Constacyclic Codes to Quantum MDS Codes
- New Quantum MDS Codes From Negacyclic Codes
- Correcting Quantum Errors with Entanglement
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
- Quantum error correction via codes over GF(4)
- MDS Codes With Galois Hulls of Arbitrary Dimensions and the Related Entanglement-Assisted Quantum Error Correction
- Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes
- MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction
- New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\)
- Quantum codes from codes over the ring \(R_q\)
- New MDS EAQECCs from constacyclic codes over finite non-chain rings
- New quantum codes derived from group rings
- New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal 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
- On the \(\ell\)-DLIPs of codes over finite commutative rings
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