On MDS linear complementary dual codes and entanglement-assisted quantum codes
From MaRDI portal
Publication:1647570
DOI10.1007/s10623-017-0413-xzbMath1391.94850OpenAlexW2755639496MaRDI QIDQ1647570
Publication date: 26 June 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-017-0413-x
Related Items
Hermitian LCD codes over \(\mathbb{F}_{q^2}+u \mathbb{F}_{q^2}\) and their applications to maximal entanglement EAQECCs ⋮ Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance ⋮ The Hermitian dual-containing LCD BCH codes and related quantum codes ⋮ MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs ⋮ Three new classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ New EAQEC codes constructed from Galois LCD codes ⋮ Entanglement-assisted quantum MDS codes from cyclic codes ⋮ New entanglement-assisted quantum constacyclic codes ⋮ Two families of entanglement-assisted quantum MDS codes from constacyclic codes ⋮ Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ New entanglement-assisted quantum MDS codes with larger minimum distance ⋮ New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\) ⋮ New classes of entanglement-assisted quantum MDS codes ⋮ Constructions of symplectic LCD MDS codes from quasi-cyclic codes ⋮ New EAQMDS codes constructed from negacyclic codes ⋮ Three classes of new EAQEC MDS codes ⋮ EAQEC codes from two distinct constacyclic codes ⋮ Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2 ⋮ Matrix-product codes related to constacyclic codes and their applications to EAQEC codes ⋮ New entanglement-assisted MDS quantum codes from constacyclic codes ⋮ Cyclic codes and some new entanglement-assisted quantum MDS 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 ⋮ Construction of MDS twisted Reed-Solomon codes and LCD MDS codes ⋮ A new family of EAQMDS codes constructed from constacyclic codes ⋮ 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 ⋮ New entanglement-assisted quantum MDS codes ⋮ Entanglement-assisted quantum MDS codes constructed from constacyclic codes ⋮ Linear \(\ell \)-intersection pairs of codes and their applications ⋮ Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Constructions of symplectic LCD MDS codes ⋮ Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes ⋮ An application of constacyclic codes to entanglement-assisted quantum MDS codes ⋮ Entanglement-assisted quantum negacyclic BCH codes ⋮ Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes ⋮ Linear \(\ell\)-intersection pairs of MDS codes and their applications to AEAQECCs ⋮ New entanglement-assisted quantum MDS codes with length \(n=\frac{q^2+1}{10\mu }\) ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Some entanglement-assisted quantum MDS codes with large minimum distance ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\) ⋮ Application of GRS codes to some entanglement-assisted quantum MDS codes ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme ⋮ Construction of new entanglement-assisted quantum MDS codes via cyclic codes ⋮ Entanglement-assisted quantum error correction codes with length \(n=q^2+1\)
Cites Work
- On entanglement-assisted quantum codes achieving the entanglement-assisted Griesmer bound
- Entanglement-assisted quantum codes from arbitrary binary linear codes
- On complementary-dual quasi-cyclic codes
- Linear codes with complementary duals
- The condition for a cyclic code to have a complementary dual
- The combinatorics of LCD codes: linear programming bound and orthogonal matrices
- Constructions of good entanglement-assisted quantum error correcting codes
- Linear codes with complementary duals meet the Gilbert-Varshamov bound
- Maximal entanglement entanglement-assisted quantum codes constructed from linear codes
- ON REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 4ps
- 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
- Complementary Dual Codes for Counter-Measures to Side-Channel Attacks
- Fundamentals of Error-Correcting Codes
- Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
- Complementary Dual Algebraic Geometry Codes
- Maximal entanglement entanglement-assisted quantum codes of distance three
- High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement
- LCD Cyclic Codes Over Finite Fields
- Unnamed Item
