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Low Density Parity Check Convolutional Codes Derived from Quasi-Cyclic Block Codes
[chapter]
2003
Communications, Information and Network Security
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A set of low density parity check convolutional codes is derived from this quasi-cyclic code and its generalizations. ...
Using algebraic techniques, one of the co-authors has designed a [155,64,20] low density parity check code based on permutation matrices. ...
Introduction In the past few years, excellent performance has been achieved for binary transmission over noisy channels using turbo coding and low density parity check (LDPC) codes. ...
doi:10.1007/978-1-4757-3789-9_4
fatcat:te3uhtusrzfu5ckgiax6z67fku
Repeat-Accumulate Codes for Reconciliation in Continuous Variable Quantum Key Distribution
[article]
2015
arXiv
pre-print
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We design new coding schemes based on quasi-cyclic repeat-accumulate codes which demonstrate good performances for CVQKD reconciliation. ...
This paper investigates the design of low-complexity error correction codes for the verification step in continuous variable quantum key distribution (CVQKD) systems. ...
Recently, researcher have begun to consider how to design very low rate error correction codes for CVQKD including layered low-density parity-check codes [8] , [9] , multi-edgetype low-density parity-check ...
arXiv:1510.03510v1
fatcat:xp72zq33brbubjhvjc5xtthsey
Development of crypto-code constructs based on LDPC codes
2022
Eastern-European Journal of Enterprise Technologies
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The results of developing post-quantum algorithms of McEliece and Niederreiter crypto-code constructs based on LDPC (Low-Density Parity-Check) codes are presented. ...
To ensure the security of wireless mobile channels, it is proposed to use McEliece and Niederreiter crypto-code constructs based on LDPC codes, which allows integration into the credibility technology ...
The first option is based on moderate-density parity-check (MDPC) codes, and the other one -on quasi-cyclic MDPC codes. ...
doi:10.15587/1729-4061.2022.254545
fatcat:63mddjfirbehpdjqtg2o6j3nxe
High-Speed Reconciliation for CVQKD Based on Spatially Coupled LDPC Codes
2018
IEEE Photonics Journal
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In detail, to increase the reconciliation efficiency, rather than using the block low-density parity-check (LDPC) codes, such as quasi-cyclic LDPC codes, multiedgetype LDPC codes, and punctured LDPC codes ...
Index Terms: Continuous variable quantum key distribution (CVQKD), reconciliation efficiency, low-density parity-check (LDPC) code. ...
One class of structured LDPC codes that allows low complexity encoding is the class of quasi-cyclic (QC)-LDPC codes [35] . ...
doi:10.1109/jphot.2018.2853736
fatcat:cjvyevdq4naxhmxue5hxyexb64
Worst case QC-MDPC decoder for McEliece cryptosystem
2016
2016 IEEE International Symposium on Information Theory (ISIT)
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Variable time decoders might leak some information on the code structure (that is on the sparse parity check equations) and must be avoided. ...
Furthermore, it remains secure against a quantum adversary and is very well suited to low cost implementations on embedded devices. ...
In 2013, the use of quasi-cyclic MDPC (Moderate Density Parity Check) codes was suggested to instantiate the McEliece scheme in [8] . ...
doi:10.1109/isit.2016.7541522
dblp:conf/isit/ChauletS16
fatcat:jmbsq4kqtrhthmu5azfbu7l44q
A Joint Encryption-Encoding Scheme Using QC-LDPC Codes Based on Finite Geometry
[article]
2019
arXiv
pre-print
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In this article, we present a joint encryption-encoding scheme using Quasi Cyclic-Low Density Parity Check (QC-LDPC) codes based on finite geometry. ...
Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear codes, would shorten the key size as well as improving error correction capability ...
) Parity Check Matrix Density A parity check matrix of density 0.01 or lower is categorized as a low density parity check matrix. ...
arXiv:1711.04611v2
fatcat:pqetesg3wnhxbiygkwc44mwo2e
Key Reconciliation with Low-Density Parity-Check Codes for Long-Distance Quantum Cryptography
[article]
2017
arXiv
pre-print
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Multi-edge low-density parity-check (LDPC) codes with low code rates and long block lengths were proposed for CV-QKD, in order to extend the maximum reconciliation distance between the two remote parties ...
This work introduces a quasi-cyclic (QC) code construction for multi-edge LDPC codes that is highly suitable for hardware-accelerated decoding on a modern graphics processing unit (GPU). ...
at the University of York for introducing the upper bound on secret key rate for lossy channels, and Dr. ...
arXiv:1702.07740v2
fatcat:gztdowdmmnfc5fgz2jdjxmeyfa
High Efficiency Continuous-Variable Quantum Key Distribution Based on ATSC 3.0 LDPC Codes
2020
Entropy
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In this paper, we construct the spatially coupled (SC)-low-density parity-check (LDPC) codes and quasi-cyclic (QC)-LDPC codes by adopting the parity-check matrices of LDPC codes in the Advanced Television ...
Based on the fundamental theorem of quantum mechanics, continuous-variable quantum key distribution (CVQKD) has the property of physical absolute security and can effectively overcome the dependence of ...
Then, the base matrix H b of size M b × N b is given by
Figure 6 . 6 The construction of quasi-cyclic (QC)-LDPC code based on IRA-structured LDPC code. ...
doi:10.3390/e22101087
pmid:33286856
fatcat:kuiv4jyiozgnppmyfp5lurgxnu
McEliece/Niederreiter PKC: Sensitivity to Fault Injection
2010
2010 5th International Conference on Future Information Technology
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We present the injection fault in the McEliece scheme using Goppa codes and in two variants using quasi-cyclic alternant and quasi-dyadic codes, and describe the main difference of those constructions ...
The McEliece and Niederreiter public key cryptosystems (PKC) are presumed secure in a post quantum world [4] because there is no efficient quantum algorithm that solves the hard problems upon which these ...
This idea has been explored in [16] , where the authors examined the implications of using low density parity-check (LDPC) codes. ...
doi:10.1109/futuretech.2010.5482663
fatcat:ldkz42yj35elzdcn3vk42unohu
Protograph-based Quasi-Cyclic MDPC Codes for McEliece Cryptosystems
[article]
2018
arXiv
pre-print
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In this paper, ensembles of quasi-cyclic moderate-density parity-check (MDPC) codes based on protographs are introduced and analyzed in the context of a McEliece-like cryptosystem. ...
The proposed ensembles are analyzed in the asymptotic setting via density evolution, both under the sum-product algorithm and a low-complexity (error-and-erasure) message passing algorithm. ...
In [2] , a McEliece cryptosystem based on quasi cyclic (QC)-MDPC codes that defeats information set decoding attacks on the dual code due to the moderate density parity-check matrix, is presented. ...
arXiv:1801.07484v1
fatcat:gcnzcf2dkzhytlytlexb552zte
Randomized Serially Concatenated LDGM Codes for the Gaussian Wiretap Channel
2018
IEEE Communications Letters
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Index Terms-Low density parity check (LDPC) codes, low density generator matrix (LDGM) codes, Gaussian wiretap channel, security gap. ...
We study the application of a special class of lowdensity parity-check codes to the wiretap channel. ...
Index Terms-Low density parity check (LDPC) codes, low density generator matrix (LDGM) codes, Gaussian wiretap channel, security gap.
I. ...
doi:10.1109/lcomm.2018.2789346
fatcat:ygvlqbqh3rhxngtaptenqopury
LEDAkem: a post-quantum key encapsulation mechanism based on QC-LDPC codes
[article]
2018
arXiv
pre-print
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It is built on the Niederreiter cryptosystem and relies on quasi-cyclic low-density parity-check codes as secret codes, providing high decoding speeds and compact keypairs. ...
This work presents a new code-based key encapsulation mechanism (KEM) called LEDAkem. ...
However, this may also compromise the system security, as it occurred with some first McEliece variants based on quasi-cyclic (QC) codes [17] , low-density parity-check (LDPC) codes [31] and quasi-cyclic ...
arXiv:1801.08867v1
fatcat:3r532jsq3bfvtjf4ohjcvuftiy
Post-Quantum Network Security:McEliece and Niederreiter Cryptosystems Analysis and Education Issues
2020
WSEAS transactions on systems and control
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The paper is aimed at analyzing of the classical McEliece and Niederreiter cryptosystems as well as theQuasi-Cyclic MDPC McEliece cipher in a context of the post-quantum network security. ...
The binary Goppa codes are describedin the context of their role for the cryptanalytic resistance of the classic McEliece and Niederreiter schemes. ...
Several proposals have been made to overcome this drawback, among which the most notable one is the McEliece cryptosystem based on the quasi-cyclic moderate-density parity-check codes [15] . ...
doi:10.37394/23203.2020.15.62
fatcat:ycx2ry6l2bdvbeqr5qudu5uhb4
Variations of the McEliece Cryptosystem
[article]
2017
arXiv
pre-print
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The second variation is based on the use of spatially coupled moderate-density parity-check codes as secret codes. ...
The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. ...
Acknowledgements We would like to thank the organizers of the IPAM workshop on Algebraic Geometry for Coding Theory and Cryptography for inviting us to the event. ...
arXiv:1612.05085v2
fatcat:iotsnlu6qzdqjpatxcv2vmvrqe
Multisource SWIPT-based coded cooperation:rate compatible codes and codeword splitting protocol
2020
EURASIP Journal on Wireless Communications and Networking
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Firstly, a class of naturally rate compatible low-density parity-check (LDPC) codesquasi-cyclic repeat-accumulate (QC-RA) codes is introduced, and the joint parity-check matrix corresponding to the QC-RA ...
Based on the joint parity-check matrix, we jointly design the QC-RA codes to cancel all the short girth cycles. ...
Lingjun Kong and Jun Li revised and checked the whole manuscript. All authors read and approved the final manuscript. ...
doi:10.1186/s13638-020-01664-x
fatcat:c4d4qltf6jb4nma5b2ig4hlk4u
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