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IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2018, Volume 64, Issue 10, pp. 6567 - 6582
Despite their exceptional error-correcting properties, Reed-Solomon (RS) codes have been overlooked in distributed storage applications due to the common... 
Reed-Solomon codes | Cloud computing | trace | File systems | erasure | repair bandwidth | Collaboration | Bandwidth | Maintenance engineering | Electronic mail | distributed storage systems | REGENERATING CODES | DISTRIBUTED STORAGE-SYSTEMS | MDS CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Codes | Maintenance | Error correction | Repair
Journal Article
Applicable Algebra in Engineering, Communication and Computing, ISSN 0938-1279, 8/2018, Volume 29, Issue 4, pp. 335 - 350
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2019, Volume 65, Issue 4, pp. 2593 - 2602
Journal Article
by Shi, MJ and Guan, Y and Wang, CC and Sole, P
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, ISSN 0004-9727, 08/2018, Volume 98, Issue 1, pp. 167 - 174
We construct two families of few-weight codes for the Lee weight over the ring Rk based on two di ff erent defining sets. For the first defining set, taking... 
2-WEIGHT CODES | MATHEMATICS | Gray may | trace codes | LINEAR CODES | few-weights codes | defining set
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 08/2018, Volume 98, Issue 1, pp. 167 - 174
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 03/2017, Volume 219, pp. 176 - 181
We construct an infinite family of two-Lee-weight codes over the ring . These codes are defined as trace codes and have the algebraic structure of abelian... 
Griesmer bound | Trace codes | Two-weight codes | Secret sharing schemes | MATHEMATICS, APPLIED | LINEAR CODES | Codes | Mapping | Applied mathematics | Binary system | Binary codes
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2019, Volume 65, Issue 5, pp. 2696 - 2703
Journal Article
Designs, Codes, and Cryptography, ISSN 0925-1022, 07/2016, Volume 80, Issue 1, pp. 197 - 216
We compare the two duality theories of rank-metric codes proposed by Delsarte and Gabidulin, proving that the former generalizes the latter. We also give an... 
Trace | Network coding | Duality | Matrix | Rank-metric code | MacWilliams identity | MATHEMATICS, APPLIED | NETWORK | NUMBER | CODING THEORY | MATRICES | FINITE-FIELD | COMPUTER SCIENCE, THEORY & METHODS | ASSOCIATION SCHEMES
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 07/2007, Volume 53, Issue 7, pp. 2480 - 2489
A code over GF can be imaged or expanded into a code over GF using a basis for the extension field over the base field. The properties of such an image depend... 
Images of codes | Codes | Drives | Decoding | Galois fields | self-orthogonality | quantum codes | Sufficient conditions | Image coding | Image analysis | trace of codes | Hard disks | Protection | DISTANCE | REED-SOLOMON CODES | images of codes | COMPUTER SCIENCE, INFORMATION SYSTEMS | CYCLIC CODES | ENGINEERING, ELECTRICAL & ELECTRONIC | Data transmission
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2019, Volume 65, Issue 4, pp. 2101 - 2106
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2018, Volume 64, Issue 2, pp. 889 - 899
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 07/2018, Volume 52, pp. 261 - 280
We give sufficient conditions for self-orthogonality with respect to symplectic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes... 
Trace | Quantum codes | Quasi-cyclic codes | Hermitian and Euclidean duality | Symplectic | MATHEMATICS | MATHEMATICS, APPLIED | ERROR-CORRECTING CODES | STABILIZER CODES
Journal Article
Quantum Information Processing, ISSN 1570-0755, 11/2016, Volume 15, Issue 11, pp. 4489 - 4500
Journal Article
by Shi, MJ and Zhu, HW and Sole, P
APPLIED AND COMPUTATIONAL MATHEMATICS, ISSN 1683-3511, 2018, Volume 17, Issue 2, pp. 175 - 184
In this paper, we construct an infinite family of three-weight binary codes from linear codes over the ring R = F-2 + vF(2) + v(2)F(2)where v(3) = 1. These... 
Three-Weight Codes | MATHEMATICS, APPLIED | BINARY-CODES | CONSTACYCLIC CODES | RING | Secret Sharing Schemes | LINEAR CODES | Trace Codes | Griesmer Bound | SCHEMES
Journal Article
Quantum Information Processing, ISSN 1570-0755, 10/2016, Volume 15, Issue 10, pp. 4071 - 4088
Journal Article
IEEE TRANSACTIONS ON INFORMATION THEORY, ISSN 0018-9448, 05/2019, Volume 65, Issue 5, pp. 2696 - 2703
Let p be a prime number and q = p(s) for a positive integer s. For any positive divisor e of q - 1, we construct infinite families of codes C of size q(2m)... 
trace codes | 2-WEIGHT | codes over rings | COMPUTER SCIENCE, INFORMATION SYSTEMS | gauss sums | Two-weight codes | PERIOD POLYNOMIALS | three-weight codes | BINARY LINEAR CODES | SUMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Annals of Nuclear Energy, ISSN 0306-4549, 01/2015, Volume 75, pp. 87 - 100
The ® is an advanced pressurized water reactor (PWR) design developed by Westinghouse which implements passive safety systems to provide core cooling in case... 
TRACE | SBLOCA | Passive safety systems | AP1000 | SYSTEM | RELAP5 | NUCLEAR SCIENCE & TECHNOLOGY | API 000 | BREAK | FACILITY | Analysis | Nuclear reactors
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 09/2017, Volume 47, pp. 286 - 308
This paper studies the Galois images of constacyclic codes over of length relatively prime to , and determines when those images are equal and when they... 
Trace and subfield codes | Constacyclic codes | Frobenius automorphism | MATHEMATICS | MATHEMATICS, APPLIED | CYCLIC CODES | SUBFIELD SUBCODES
Journal Article
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