Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction
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Publication:6142132
DOI10.1007/s11128-023-04230-8OpenAlexW4390500070MaRDI QIDQ6142132
Zhaoyang Tian, Yun Gao, Unnamed Author
Publication date: 25 January 2024
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-023-04230-8
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Quantum computation (81P68)
Cites Work
- Unnamed Item
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- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- Quantum codes from nearly self-orthogonal quaternary linear codes
- New quantum codes from dual-containing cyclic codes over finite rings
- Quantum MDS codes with large minimum distance
- Affine and projective planes
- The Magma algebra system. I: The user language
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes
- Improved constructions for nonbinary quantum BCH codes
- Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)]
- On the construction of quantum MDS codes
- The average dimension of the Hermitian hull of constacyclic codes over finite fields of square order
- The average dimension of the hull of cyclic 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
- Hulls of cyclic and negacyclic codes over finite fields
- New quantum MDS codes derived from constacyclic codes
- New quantum codes from constacyclic codes over the ring \(R_{k,m}\)
- Quantum codes from cyclic codes over the mixed alphabet structure
- Weight distribution of double cyclic codes over Galois rings
- Good rate QECCs from the quantum construction \(X\)
- Hermitian hulls of constacyclic codes and their applications to quantum codes
- Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes
- New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\)
- On self-dual constacyclic codes over finite fields
- New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)]
- Some new quantum MDS codes from generalized Reed-Solomon codes
- Improved constructions for quantum maximum distance separable codes
- A class of constacyclic BCH codes and new quantum codes
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- New quantum codes from constacyclic and additive constacyclic codes
- Quantum codes from Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\)
- Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
- Weight distributions of Q2DC codes over finite fields
- Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\)
- Hulls of double cyclic codes
- Quantum codes from cyclic codes over š½q+vš½q+v2š½q+v3š½q
- 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
- Extending Construction X for Quantum Error-Correcting Codes
- Nonbinary Stabilizer Codes Over Finite Fields
- On the Dimension of the Hull
- Nonbinary quantum codes
- Quantum error correction via codes over GF(4)
- Gray maps on linear codes over $\bm{\mathbb{F}_p[v/(v^m-v)}$ and their\\ applications]
- Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
- Some New Constructions of Quantum MDS Codes
- MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction
- Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
- New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\)
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