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QC-LDPC Code-Based Cryptography [PDF]
This book describes the fundamentals of cryptographic primitives based on quasi-cyclic low-density parity-check (QC-LDPC) codes, with a special focus on the use of these codes in public-key cryptosystems derived from the McEliece and Niederreiter schemes.
Baldi, Marco
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Quasi-cyclic generalized ldpc codes with low error floors [PDF]
In this paper, a novel methodology for designing structured generalized LDPC (G-LDPC) codes is presented. The proposed design results in quasi-cyclic G-LDPC codes for which efficient encoding is feasible through shift-register-based circuits.
Gianluigi Liva +2 more
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High-Throughput QC-LDPC Decoders
IEEE Transactions on Broadcasting, 2009High-throughput design approaches for quasi-cyclic (QC) low-density parity-check (LDPC) decoders are presented in this paper. Three novel schemes for the horizontal process in min-sum algorithm and its revisions are derived to reduce design and implementation complexity.
Nan Jiang +4 more
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Shortening for irregular QC-LDPC codes
IEEE Communications Letters, 2009Shortening is a technique to obtain codes of shorter length and lower rate from a given LDPC code by putting infinite reliability on some variable nodes, whose positions are assumed to be available to both encoder and decoder. In this paper, we propose a shortening algorithm suitable for irregular QC-LDPC codes. The efficiency of the proposed algorithm
Xiaojian Liu +2 more
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Analysis of balanced cycles of QC-LDPC codes
2011 Eighth International Conference on Wireless and Optical Communications Networks, 2011In this paper, we analyze balanced cycles of quasi-cyclic low-density parity-check (QC-LDPC) codes. We show the structure of balanced cycles and their necessary and sufficient existence conditions. Furthermore, we determine the minimal matrices of balanced cycle. Meanwhile we propose the property of B-girth in its mother matrix.
Gao Xiao, Zhang Nan
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Generalization of floor lifting for QC-LDPC codes
2017 IEEE East-West Design & Test Symposium (EWDTS), 2017The given paper presents a method for constructing a QC-LDPC code of shorter length by length adaption from a given QC-LDPC code of maximal length. The proposed method can be considered as a generalization of floor lifting. Making some offline calculation it is possible to construct a sequence of QC-LDPC codes with different circulant sizes generated ...
Vasiliy Usatyuk, Sergey Egorov
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Design of masking matrix for QC-LDPC codes
2013 IEEE Information Theory Workshop (ITW), 2013The masking matrix plays an important role in constructing new classes of regular and irregular quasi-cyclic low density parity check (QC-LDPC) codes. By coupling two identical graphs in a special way, we present a new structure of the masking matrix, whose Tanner graph can be seen as a protograph.
Yang Liu, Ying Li
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Compressing construction of QC-LDPC codes
2008 11th IEEE Singapore International Conference on Communication Systems, 2008Two compressing construction methods of quasi-cyclic LDPC (QC-LDPC) codes are proposed, which can be called recursive-compressing and single-compressing respectively. Selecting a good QC-LDPC code as the Mother, the son codes constructed through the compressing methods are still good codes, i.e., have high girth and few short cycles, moreover, they ...
null Shuqi Sun, null Wuyang Zhou
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2009 IEEE Circuits and Systems International Conference on Testing and Diagnosis, 2009
A multi-rate memory-efficient encoder for low-density parity-check (LDPC) codes is proposed in this paper based on shift-register-adder-accumulator (SRAA). The SRAA algorithm simplifies the encoder computation module and reduces the complexity of the operation. The LDPC code generator matrix is constructed by lots of quasi-cyclic square matrices in the
Huxing Zhang, Hongyang Yu
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A multi-rate memory-efficient encoder for low-density parity-check (LDPC) codes is proposed in this paper based on shift-register-adder-accumulator (SRAA). The SRAA algorithm simplifies the encoder computation module and reduces the complexity of the operation. The LDPC code generator matrix is constructed by lots of quasi-cyclic square matrices in the
Huxing Zhang, Hongyang Yu
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An Improved McEliece Cryptosystem Based on QC-LDPC Codes
2020In the original McEliece cryptosystem based on QC-LDPC codes, the decoding algorithm uses BF algorithm instead of BP algorithm, which reduces the time complexity but decreases the decoding performance. To solve this problem, we improve the original algorithm and use the Q-decoder which utilizes the correlation between the error pattern e and the matrix
Fan Bu +4 more
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