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IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2013, Volume 59, Issue 2, pp. 1193 - 1197
Let q be an odd prime power. Based on classical negacyclic codes, we construct two classes of quantum maximum-distance-separable (MDS) codes with parameters [[... 
Linear code | Quantum mechanics | negacyclic codes | quantum maximum-distance-separable (MDS) codes | Educational institutions | Polynomials | Error correction codes | Cyclotomic cosets | STABILIZER CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ERROR-CORRECTION | ENGINEERING, ELECTRICAL & ELECTRONIC | Error-correcting codes | Usage | Quantum theory
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2015, Volume 61, Issue 3, pp. 1474 - 1484
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2014, Volume 60, Issue 4, pp. 2080 - 2086
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 8/2017, Volume 56, Issue 8, pp. 2479 - 2484
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane... 
Quantum codes | Cyclotomic coset | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Cyclic codes | Physics | Elementary Particles, Quantum Field Theory | BCH CODES | PHYSICS, MULTIDISCIPLINARY
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2015, Volume 61, Issue 9, pp. 5224 - 5228
Quantum maximum-distance-separable (MDS) codes form an important family of quantum codes. In this paper, using Hermitian construction and classical... 
constacyclic codes | Quantum computing | Hermitian construction | Quantum mechanics | Linear codes | Polynomials | Generators | cyclotomic cosets | Quantum MDS codes | STABILIZER CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ERROR-CORRECTION | TWISTED CODES | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 11/2019, Volume 58, Issue 11, pp. 3945 - 3951
In this article, by using Hermitian construction, we obtain several new quantum codes and quantum MDS codes compare to the known codes from the constacyclic... 
Cyclotomic coset | Theoretical, Mathematical and Computational Physics | MDS code | Quantum Physics | Physics, general | Quantum code | Physics | Elementary Particles, Quantum Field Theory | Constacyclic code
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 3/2018, Volume 57, Issue 3, pp. 682 - 686
Recently, La Guardia constructed some new quantum codes from cyclic codes (La Guardia, Int. J. Theor. Phys., 2017). Inspired by this work, we consider quantum... 
Quantum codes | Cyclotomic coset | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Negacyclic codes | Physics | Elementary Particles, Quantum Field Theory | MDS CODES | BCH CODES | PHYSICS, MULTIDISCIPLINARY
Journal Article
Quantum Information Processing, ISSN 1570-0755, 12/2018, Volume 17, Issue 12, pp. 1 - 16
One central theme in quantum error correction is to construct quantum codes that have large minimum distances. It has been a great challenge to construct new... 
Quantum Computing | Quantum MDS code | Mathematical Physics | Cyclotomic coset | Quantum Information Technology, Spintronics | Quantum Physics | BCH bound | Physics | Data Structures and Information Theory | Constacyclic code | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | CONSTRUCTION | PHYSICS, MATHEMATICAL
Journal Article
Procedia Computer Science, ISSN 1877-0509, 2019, Volume 154, pp. 663 - 668
Linear codes with complementary-duals (LCD) have many applications in cryptography, communication systems and data storage. A q-ary linear code C is called LCD... 
cyclotomic coset | cyclic code | LCD code | MDS code
Journal Article
Quantum Information Processing, ISSN 1570-0755, 5/2019, Volume 18, Issue 5, pp. 1 - 23
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2014, Volume 60, Issue 10, pp. 6399 - 6416
We propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our... 
Semantics | Lattices | Gaussian distribution | Encoding | Security | Zinc | Mutual information | strong secrecy | Lattice coding | information theoretic security | wiretap channel | semantic security | BOUNDS | COMPUTER SCIENCE, INFORMATION SYSTEMS | INTERFERENCE | COSET CODES | ENGINEERING, ELECTRICAL & ELECTRONIC | Coding theory | Evaluation | Usage | Data security | Analysis
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 7/2019, Volume 58, Issue 7, pp. 2293 - 2302
In this paper, two families of Hermitian dual-containing Bose-Chau- dhuri-Hocquenghem (BCH) codes with length n = a ⋅ q 2 + 1 2 $n=a\cdot \frac {q^{2}+ 1}{2}$... 
Hermitian dual-containing | Cyclic code | Cyclotomic coset | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Quantum code | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 10/2018, Volume 86, Issue 10, pp. 2139 - 2165
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 9/2017, Volume 84, Issue 3, pp. 473 - 492
Journal Article
Quantum Information Processing, ISSN 1570-0755, 3/2017, Volume 16, Issue 3, pp. 1 - 16
Journal Article
Quantum Information Processing, ISSN 1570-0755, 10/2018, Volume 17, Issue 10, pp. 1 - 24
In this paper, two families of non-narrow-sense (NNS) BCH codes of lengths $$n=\frac{q^{2m}-1}{q^2-1}$$ n=q2m-1q2-1 and $$n=\frac{q^{2m}-1}{q+1}$$ n=q2m-1q+1... 
Quantum Computing | Data Structures, Cryptology and Information Theory | Dual-containing code | Mathematical Physics | Cyclotomic coset | Quantum Information Technology, Spintronics | Quantum Physics | BCH code | Quantum code | Physics | PHYSICS, MULTIDISCIPLINARY | CONSTACYCLIC CODES | STABILIZER CODES | MDS CODES | ERROR-CORRECTION | PHYSICS, MATHEMATICAL
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 09/2018, Volume 53, pp. 309 - 325
The entanglement-assisted (EA) formalism allows arbitrary classical linear codes to transform into entanglement-assisted quantum error correcting codes... 
MDS codes | Entanglement-assisted quantum error correcting codes (EAQECCs) | Cyclotomic cosets | Constacyclic code | MATHEMATICS | MATHEMATICS, APPLIED | Cyclotornic cosets | Error-correcting codes
Journal Article
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