A construction for girth‐8 QC‐LDPC codes using Golomb rulers [PDF]
Electronics Letters, Volume 58, Issue 15, Page 582-584, July 2022., 2022 Abstract In this paper, an algebraic construction of regular QC‐LDPC codes by using the modular multiplication table mod P and Golomb rulers are proposed. It is proved that the proposed QC‐LDPC codes based on a Golomb ruler of length L have girth at least 8 if P>2L$P>2L$.
Inseon Kim, Hong‐Yeop Song
semanticscholar +4 more sources
A High Throughput Implementation of QC-LDPC Codes for 5G NR [PDF]
IEEE Access, 2019 Quasi-cyclic low-density parity-check (QC-LDPC) codes are the choice for data channels in the fifth generation (5G) new radio (NR). At the transmitter side, code bits from the QC-LDPC encoder are delivered to the rate matcher.
Hao Wu, Huayong Wang
semanticscholar +6 more sources
Hierarchical and High-Girth QC LDPC Codes [PDF]
IEEE Transactions on Information Theory, 2011 We present a general approach to designing capacity-approaching high-girth low-density parity-check (LDPC) codes that are friendly to hardware implementation.
Draper, Stark C. +2 more
core +5 more sources
An Effective Multi-Mode Iris Authentication System on a Microprocessor-FPGA Heterogeneous Platform With QC-LDPC Codes [PDF]
IEEE Access, 2021 With the emergence and popularity of iris biometrics, there are increasing concerns regarding the feasibility of iris authentication systems and their corresponding variability reduction methods.
Longyu Ma +3 more
semanticscholar +4 more sources
Full-Length Row-Multiplier QC-LDPC Codes With Girth Eight and Short Circulant Sizes
IEEE Access, 2023 As a special case of a quasi-cyclic (QC) low-density parity-check (LDPC) code, a full-length row-multiplier (FLRM) QC-LDPC code is described by a compact exponent matrix based on two sequences of integers.
Juhua Wang +3 more
semanticscholar +3 more sources
Performance Analysis for Cooperative Communication System with QC-LDPC Codes Constructed with Integer Sequences [PDF]
Discrete Dynamics in Nature and Society, 2015 This paper presents four different integer sequences to construct quasi-cyclic low-density parity-check (QC-LDPC) codes with mathematical theory. The paper introduces the procedure of the coding principle and coding.
Feng-fan Yang, Weijun Song, Yan Zhang
core +3 more sources
McEliece cryptosystem based on Plotkin construction with QC-MDPC and QC-LDPC codes [PDF]
arXiv.org, 2022 . In this paper, we propose a new variant of the McEliece cryptosystem using two fam-ilies of quasi-cyclic codes: low density parity check codes (QC-LDPC) and moderate density parity check codes (QC-MDPC).
Belkacem Imine +2 more
openalex +3 more sources
Some variations of Tanner's construction for short length QC‐LDPC codes
Electronics Letters, Volume 60, Issue 3, February 2024.This paper proposes a modification to Tanner's work for constructing girth‐8 quasi‐cyclic low‐density parity‐check codes. The main contribution of this paper is to use an arithmetic sequence at the leftmost column for the exponent matrix so that the ...
Wonjun Kim +3 more
semanticscholar +2 more sources
Double-Hamming based QC LDPC codes with large minimum distance [PDF]
, 2011 A new method using Hamming codes to construct base matrices of (J, K)-regular LDPC convolutional codes with large free distance is presented. By proper labeling the corresponding base matrices and tailbiting these parent convolutional codes to given ...
Bocharova, Irina +3 more
core +4 more sources
Encoding of QC-LDPC Codes of Rank Deficient Parity Matrix
Journal of Engineering, 2016 The encoding of long low density parity check (LDPC) codes presents a challenge compared to its decoding. The Quasi Cyclic (QC) LDPC codes offer the advantage for reducing the complexity for both encoding and decoding due to its QC structure.
Mohammed Kasim Mohammed Al-Haddad, Instructor
doaj +4 more sources