Construction of low-density parity-check codes based on balanced incomplete block designs

B Ammar, B Honary, Y Kou, J Xu… - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
This correspondence presents a method for constructing structured regular low-density
parity-check (LDPC) codes based on a special type of combinatoric designs, known as …

Construction of regular and irregular LDPC codes: Geometry decomposition and masking

J Xu, L Chen, I Djurdjevic, S Lin… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
Two algebraic methods for systematic construction of structured regular and irregular low-
density parity-check (LDPC) codes with girth of at least six and good minimum distances are …

Cryptanalysis of a new instance of McEliece cryptosystem based on QC-LDPC codes

M Baldi, F Chiaraluce - 2007 IEEE International Symposium on …, 2007 - ieeexplore.ieee.org
We adopt a class of quasi-cyclic low-density parity-check codes that allow to overcome the
main limitations of the original McEliece cryptosystem based on Goppa codes, that are large …

Quasi-cyclic low-density parity-check codes in the McEliece cryptosystem

M Baldi, F Chiaraluce, R Garello… - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
In this paper, a new variant of the McEliece cryptosystem, based on quasi-cyclic low-density
parity-check (QC-LDPC) codes, is studied. In principle, such codes can substitute Goppa …

[图书][B] QC-LDPC code-based cryptography

M Baldi - 2014 - books.google.com
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 …

Set of irregular LDPC codes with random structure and low encoding complexity

Q Spencer - US Patent 7,523,375, 2009 - Google Patents
(57) ABSTRACT A set of irregular LDPC (Low Density Parity Check) codes having a pseudo-
random structure and low encoding com plexity. A block-cyclic LDPC code has an irregular …

A matrix-theoretic approach for analyzing quasi-cyclic low-density parity-check codes

Q Diao, Q Huang, S Lin… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
A matrix-theoretic approach for studying quasi-cyclic codes based on matrix transformations
via Fourier transforms and row and column permutations is developed. These …

Construction of low-density parity-check codes by superposition

J Xu, L Chen, L Zeng, L Lan… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
Construction of low-density parity-check codes by superposition Page 1 IEEE TRANSACTIONS
ON COMMUNICATIONS, VOL. 53, NO. 2, FEBRUARY 2005 243 Transactions Papers …

Low-complexity encoding of quasi-cyclic codes based on Galois Fourier transform

Q Huang, L Tang, S He, Z Xiong… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
This paper presents two novel low-complexity encoding algorithms for quasi-cyclic (QC)
codes based on Galois Fourier transform. The key idea behind them is making use of the …

Jointly designed quasi-cyclic LDPC-coded cooperation with diversity combining at receiver

M Asif, W Zhou, Q Yu, S Adnan… - … Journal of Distributed …, 2020 - journals.sagepub.com
This correspondence proposes a jointly-designed quasi-cyclic (QC) low-density parity-check
(LDPC)-coded multi-relay cooperation with a destination node realized by multiple receive …