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Two New Four-Error-Correcting Binary Codes
2005
Designs, Codes and Cryptography
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Geometric WOM codes and coding strategies for multilevel flash memories
[article]
2012
arXiv
pre-print
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We also analyze methods of adapting binary WOM codes for use on multilevel flash cells. In particular, we give two strategies based on different rewrite objectives. ...
This construction yields WOM codes with new parameters and provides insight into the criterion that incidence structures should satisfy to give rise to good codes. ...
Acknowledgments Some of this work was completed while the authors were at the Fall 2011 program on Combinatorial, Algebraic and Algorithmic Aspects of Coding Theory at the Bernoulli Center, EPFL, Switzerland ...
arXiv:1206.5762v1
fatcat:fmm4tzcwrnd3fn7wxyq4ytzkim
A Review of design of Binary Golay Code and Extended Binary Golay Code for error correction
2018
International Journal of Trend in Scientific Research and Development
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The Golay code encodes 12-bits of data in such a way that it can correct 3-bits of error and detect 7-bits of error. G24 code is also called the Perfect Binary Golay Code. ...
The two binary Golay codes formats are the Binary Golay Code (23-bit, G23) and Extended Binary Golay code (24-bit, G24). ...
The binary Golay code (24, 12, 8) can be constructed as the direct sum of two array codes involving [6] four component codes, two of which are simple linear block codes and other two are symmetric code ...
doi:10.31142/ijtsrd11426
fatcat:d4h2ntcojfbnnhnuxdvr4ernea
Geometric WOM codes and coding strategies for multilevel flash memories
2012
Designs, Codes and Cryptography
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We also analyze methods of adapting binary WOM codes for use on multilevel flash cells. In particular, we give two strategies based on different rewrite objectives. ...
This construction yields WOM codes with new parameters and provides insight into the criterion that incidence structures should satisfy to give rise to good codes. ...
Acknowledgments Some of this work was completed while the authors were at the Fall 2011 program on Combinatorial, Algebraic and Algorithmic Aspects of Coding Theory at the Bernoulli Center, EPFL, Switzerland ...
doi:10.1007/s10623-012-9681-7
fatcat:j3sp7tm5fvf55pmzbbp6wxlzom
The Performance of Concatenated Schemes Based on Non-binary Multithreshold Decoders
[chapter]
2014
Advances in Intelligent Systems and Computing
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The SER performance of qMTD is shown to be close to the results provided by optimum total search methods, which are not realizable for non-binary codes in general. qMTD decoders are compared with different ...
decoders for Reed-Solomon and LDPC codes. ...
In such systems to protect data from errors it is recommended to use non-binary error-correcting codes. ...
doi:10.1007/978-3-319-01857-7_24
fatcat:3w5444ani5hahfku2n74vsjwam
Page 4912 of Mathematical Reviews Vol. , Issue 94h
[page]
1994
Mathematical Reviews
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Summary: “Binary block codes for correcting asymmetric errors are called binary AsEC block codes. ...
(SF-TURK; Turku) Some features of binary block codes for correcting asymmetric errors. ...
Secret Key Distribution Protocol for Practical Optical Channels Using a Preshared Key and Phase Fluctuations
2010
Japanese Journal of Applied Physics
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Using the difference, new secret keys are generated information theoretically although a preshared key is used. ...
The probabilistic property of signal-light fluctuations works with the preshared key to produce a difference in bit-error rate between a receiver and an eavesdropper. ...
He decodes the binary signals to error-corrected signals based on the original function of the error-correcting code. Bob furthermore decodes them with SK2. ...
doi:10.1143/jjap.49.074401
fatcat:evit3nmf2jfp3pk4rz5xb3yehm
Trellis-coded modulation with redundant signal sets Part I: Introduction
1987
IEEE Communications Magazine
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As an illustration, consider four-phase modulation (4-PSK) without coding, and eight-phase modulation (8-PSK) used with a binary error-correction code of rate 2/3. ...
Classical Error-Correction Coding In classical digital communication systems, the functions of modulation and error-correction coding are separated. ...
doi:10.1109/mcom.1987.1093542
fatcat:dqnpih5pibhovlfjwy2fydav3u
Page 59 of IBM Journal of Research and Development Vol. 4, Issue 1
[page]
1960
IBM Journal of Research and Development
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Specific applications of this class of codes are given for a modulation system where even errors only are ex- pected, and codes correcting two and four different types of related errors are described. ...
Melas
A New Group of Codes for Correction of Dependent Errors in Data Transmission
Abstract: Multiple related errors of any configuration can be automatically corrected by a class of codes
having the property ...
Two optimal one-error-correcting codes of length 13 that are not doubly shortened perfect codes
2010
Designs, Codes and Cryptography
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Pottonen, The perfect binary one-error-correcting codes of length 15: Part I - Classification, IEEE Trans. Inform. Theory, to appear]; there are 117821 such (13,512,3) codes. ...
By applying a switching operation to those codes, two more (13,512,3) codes are obtained, which are then not doubly shortened perfect codes. ...
We shall here see that as a code switch maintains the minimum distance of the code, it is applicable to any error-correcting codes, not just perfect ones. ...
doi:10.1007/s10623-010-9450-4
fatcat:tnkrlcmwkjeslnbopsufikpmmm
Modelling the Storage Capacity of 2d Pixel Mosaics
[chapter]
2011
Real-World Problems for Secondary School Mathematics Students
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The binary message produced is now coded through an error correction process. ...
Note that for the QR Code, the Reed-Solomon error correction is being used. This algorithm divides the binary message into units of 8 Bits each and calculates their error correction information. ...
doi:10.1007/978-94-6091-543-7_5
fatcat:a66hbsxzbzh2hottnmvcs5s7ii
Separability of ternary Error-Correcting Output Codes
2008
Pattern Recognition (ICPR), Proceedings of the International Conference on
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Error Correcting Output Codes (ECOC) represent a successful framework to deal with multi-class categorization problems based on combining binary classifiers. ...
In this paper, we present a new formulation of the ternary ECOC distance and the error-correcting capabilities in the ternary ECOC framework. ...
Based on the new measure and the ternary error-correcting capabilities, we propose a new sparse coding design. ...
doi:10.1109/icpr.2008.4761048
dblp:conf/icpr/EscaleraPR08
fatcat:ish4zvy5ejhpldgravpvvbqk2q
Page 545 of Communications of the Association for Computing Machinery Vol. 4, Issue 12
[page]
1961
Communications of the Association for Computing Machinery
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The paper introduces a new family of codes for detecting and correcting multiple errors in a binary-coded message. ...
A four-dimensional code, correcting three and detecting four errors, has been developed; the extension to higher-dimensional codes with greater correction power is straightforward.
l. ...
On multiple insertion/deletion correcting codes
2002
IEEE Transactions on Information Theory
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We investigate binary, number-theoretic, bit insertion/deletion correcting codes as pioneered by Levenshtein. ...
The weight spectra and Hamming distance properties of single insertion/deletion error-correcting codes are analyzed. ...
In [1] , some characteristics of binary codes that can correct insertions, deletions, and additive errors are given, as well as two single-error correcting classes of codes. ...
doi:10.1109/18.971760
fatcat:3axt3lo3tjf6pglfennpp7rabu
On Step-by-Step Complete Decoding Triple-Error-Correcting Binary BCH Codes
2006
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
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According to the properties found in the algebraic complete decoding method for triple-error-correcting binary Bose-Chaudhuri-Hocquenghem (BCH) codes, a step-by-step complete decoding algorithm of this ...
code is presented. ...
Triple-Error-Correcting Binary BCH Codes It had been proven that the triple-error-correcting binary BCH codes can correct some patterns of four and five errors if beyond BCH bound decoding is employed ...
doi:10.1093/ietfec/e89-a.11.3360
fatcat:xw5y77ezvvehdlril6nkfwhyli
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