Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes
Sign Up to like & getrecommendations! Published in 2017 at "Cryptography and Communications"
DOI: 10.1007/s12095-017-0274-1
Abstract: Quantum maximum-distance-separable (MDS) codes are a significant class of quantum codes. In this paper, we mainly utilize classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct five new classes of quantum MDS codes with large minimum… read more here.
Keywords: mds codes; reed solomon; distance; generalized reed ... See more keywords
Repairing Reed-Solomon Codes With Multiple Erasures
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DOI: 10.1109/tit.2018.2827942
Abstract: Despite their exceptional error-correcting properties, Reed–Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth. A naive repair approach would require for the whole… read more here.
Keywords: reed solomon; repairing reed; multiple erasures; solomon codes ... See more keywords
Deep Holes of Projective Reed-Solomon Codes
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DOI: 10.1109/tit.2019.2940962
Abstract: Projective Reed-Solomon (PRS) codes are Reed-Solomon codes of the maximum possible length $q+1$ . The classification of deep holes –received words with maximum possible error distance– for PRS codes is an important and difficult problem.… read more here.
Keywords: deep holes; solomon codes; reed solomon; prs codes ... See more keywords
Decoding information on the state of electrotechnical objects by using Reed–Solomon codes
Sign Up to like & getrecommendations! Published in 2017 at "Russian Electrical Engineering"
DOI: 10.3103/s1068371217030063
Abstract: This paper considers the problem of digital information processing by the example of encoding and decoding the control signal of a wireless working cycle correction technology for an autonomous electrical grid. Being subjected to random… read more here.
Keywords: solomon codes; using reed; information; reed solomon ... See more keywords