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1. Full Text Symmetrical Constructions for Regular Girth-8 QC-LDPC Codes
by Tasdighi, Alireza and Banihashemi, Amir H and Sadeghi, Mohammad-Reza
IEEE Transactions on Communications, ISSN 0090-6778, 01/2017, Volume 65, Issue 1, pp. 14 - 22
In this paper, we propose new constructions for regular girth-8 quasi-cyclic low-density parity-check (QC-LDPC) codes based on circulant permutation matrices... 
Symmetric matrices | Additives | symmetrical QC-LDPC codes | Linear matrix inequalities | Complexity theory | Indexes | regular LDPC codes | QC-LDPC codes | Simulation | protograph-based LDPC codes | girth | QC-LDPC code construction | Parity check codes | QC-LDPC codes of girth 8 | regular LDPCcodes | MATRICES | SIZE | PARITY-CHECK CODES | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Chaos theory | Greedy algorithms | Permutations | Codes | Computer simulation | Search algorithms | Mathematical analysis | Low density parity check codes | Binary system | Error correcting codes | Parity | Matrix methods | Symmetry
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2. Full Text On the Tanner Graph Cycle Distribution of Random LDPC, Random Protograph-Based LDPC, and Random Quasi-Cyclic LDPC Code Ensembles
by Dehghan, Ali and Banihashemi, Amir H
IEEE Transactions on Information Theory, ISSN 0018-9448, 06/2018, Volume 64, Issue 6, pp. 4438 - 4451
In this paper, we study the cycle distribution of random low-density parity-check (LDPC) codes, randomly constructed protograph-based LDPC codes, and random... 
Algorithm design and analysis | Symmetric matrices | cycle distribution of LDPC codes | Complexity theory | Indexes | cyclic lifting | short cycles | random LDPC codes | cycle multiplicity | protograph-based LDPC codes | lifting | girth | Parity check codes | Bipartite graph | Random variables | quasi cyclic (QC) LDPC codes | Low-density parity-check (LDPC) codes | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | ELEMENTARY TRAPPING SETS | PARITY-CHECK CODES | Lower bounds | Codes | Asymptotic properties | Low density parity check codes | Binary system | Poisson distributions | Error correcting codes
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3. Full Text Regular and irregular progressive edge-growth tanner graphs
by Xiao-Yu Hu and Eleftheriou, E and Arnold, D.M
IEEE Transactions on Information Theory, ISSN 0018-9448, 01/2005, Volume 51, Issue 1, pp. 386 - 398
We propose a general method for constructing Tanner graphs having a large girth by establishing edges or connections between symbol and check nodes in an... 
PEG Tanner graphs | LDPC codes over | Rate distortion theory | Entropy | Random processes | Image coding | low-density parity-check (LDPC) codes | Signal processing algorithms | Bandwidth | Signal processing | Video compression | Speech processing | Girth | progressive edge growth (PEG) | Progressive edge growth (PEG) | LDPC codes over GF(q) | Low-density parity check (LDPC) codes | CAPACITY | DESIGN | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | PROBABILITY PROPAGATION | ENGINEERING, ELECTRICAL & ELECTRONIC | ERROR-CORRECTING CODES | CHANNEL | MODELS | BOUNDS | girth | PARITY-CHECK CODES | CONSTRUCTIONS | Research | Information theory | Graph representations | Codes | Information systems | Lower bounds | Construction | Algorithms | Computer simulation | Symbols | Graphs | Joints
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4. Full Text Design of Finite-Length Irregular Protograph Codes with Low Error Floors over the Binary-Input AWGN Channel Using Cyclic Liftings
by Asvadi, Reza and Banihashemi, A. H and Ahmadian-Attari, M
IEEE Transactions on Communications, ISSN 0090-6778, 04/2012, Volume 60, Issue 4, pp. 902 - 907
We propose a technique to design finite-length irregular low-density parity-check (LDPC) codes over the binary-input additive white Gaussian noise (AWGN)... 
Algorithm design and analysis | Image edge detection | Bit error rate | irregular LDPC codes | error floor | Zinc | cyclic lifting | AWGN channels | protograph LDPC codes | Charge carrier processes | approximate cycle extrinsic message degree (ACE) | Parity check codes | quasi-cyclic LDPC codes | ACE spectrum | AWGN channel | finite-length LDPC codes | Low-density parity-check (LDPC) codes | TRAPPING SETS | LDPC | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Error-correcting codes | Coding theory | Mobile communication systems | Wireless communication systems | Research
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5. Full Text Iterative Decoding Threshold Analysis for LDPC Convolutional Codes
by Lentmaier, Michael and Sridharan, Arvind and Costello, Daniel J and Zigangirov, Kamil Sh and ELLIIT: the Linköping-Lund initiative on IT and mobile communication and Lund University and Lunds universitet and Institutionen för elektro- och informationsteknik and Department of Electrical and Information Technology
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2010, Volume 56, Issue 10, pp. 5274 - 5289
An iterative decoding threshold analysis for terminated regular LDPC convolutional (LDPCC) codes is presented. Using density evolution techniques, the... 
Convolutional codes | LDPC convolutional codes | Error probability | Message passing | low-density parity-check (LDPC) codes | density evolution | Decoding | Block codes | Iterative decoding | Belief propagation | threshold analysis | message passing | iterative decoding | CAPACITY | DESIGN | PERFORMANCE | BLOCK | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | DENSITY | BOUNDS | PARITY-CHECK CODES | Management | Research | Decoders | Codes | Convergence | Thresholds | Evolution | Density | Channels | Elektroteknik och elektronik | Engineering and Technology | Electrical Engineering, Electronic Engineering, Information Engineering | parity-check (LDPC) codes | low-density | Teknik
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6. Full Text Performance Comparison of LDPC Block and Spatially Coupled Codes Over GF (q)
by Kechao Huang and Mitchell, David G. M and Lai Wei and Xiao Ma and Costello, Daniel J
IEEE Transactions on Communications, ISSN 0090-6778, 03/2015, Volume 63, Issue 3, pp. 592 - 604
In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density paritycheck (SC-LDPC) codes and LDPC block codes... 
protograph-based codes | LDPC convolutional codes | q-ary | LDPC block codes | Pipelines | Decoding latency | spatially coupled codes | Decoding | Block codes | Computational complexity | LDPC codes | Iterative decoding | CAPACITY | DESIGN | q-ary LDPC codes | CONVOLUTIONAL-CODES | ALGORITHMS | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Binary-coded notation | Iterative methods (Mathematics) | Low density parity check codes | Codes | Binary system | Rule based | Computation | Blocking | Joining | Error correcting codes | Complexity
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7. Full Text Low-complexity bound on irregular LDPC belief-propagation decoding thresholds using a Gaussian approximation
by Vatta, F and Soranzo, A and Babich, F
Electronics Letters, ISSN 0013-5194, 8/2018, Volume 54, Issue 17, pp. 1038 - 1040
Since irregular low-density parity-check (LDPC) codes are known to perform better than regular ones, and to exhibit, like them, the so-called ‘threshold... 
Information and communications | approximation theory | binary codes | memoryless binary input additive white Gaussian noise channels | DESIGN | channel coding | parity check codes | irregular LDPC belief-propagation decoding thresholds | irregular LDPC codes | density evolution | regular LDPC codes | decoding | Gaussian approximation | simple algorithmic method | ENGINEERING, ELECTRICAL & ELECTRONIC | AWGN channels | threshold phenomenon | Gaussian processes | belief-propagation decoding algorithm | PARITY-CHECK CODES | sum-product decoding | message densities | irregular low-density parity-check codes | low-complexity upper bound
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8. Full Text Status and Recent Advances on Forward Error Correction Technologies for Lightwave Systems
by Leven, Andreas and Schmalen, Laurent
Journal of Lightwave Technology, ISSN 0733-8724, 08/2014, Volume 32, Issue 16, pp. 2735 - 2750
Since the introduction of coherent transponders, forward error correction based on soft decision is now established in optical communication. In this paper, we... 
Forward error correction | Encoding | Optical fiber communication | Decoding | Iterative decoding | Equations | iterative decoding | Error correction codes | lowdensity parity-check (LDPC) codes | spatial coupling | CAPACITY | PERFORMANCE | BLOCK | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | DENSITY | low-density parity-check (LDPC) codes | PARITY-CHECK CODES | LDPC CODES | OPTICS
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9. Full Text On Characterization and Efficient Exhaustive Search of Elementary Trapping Sets of Variable-Regular LDPC Codes
by Hashemi, Yoones and Banihashemi, Amir H
IEEE Communications Letters, ISSN 1089-7798, 03/2015, Volume 19, Issue 3, pp. 323 - 326
Recently, Karimi and Banihashemi demonstrated that a large majority of the elementary trapping set (ETS) structures of variable-regular low-density... 
Silicon compounds | Computers | Charge carrier processes | Complexity theory | Decoding | Iterative decoding | low-density parity-check (LDPC) codes | exhaustive search of trapping sets | layered superset (LSS) property | variableregular LDPC codes | absorbing sets | error floor | left-regular LDPC codes | trapping sets | Characterization of elementary trapping sets | elementary trapping sets | short cycles | variable-regular LDPC codes | TELECOMMUNICATIONS | ERROR-FLOOR | Codes
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10. Full Text LDPC block and convolutional codes based on circulant matrices
by Tanner, R.M and Sridhara, D and Sridharan, A and Fuja, T.E and Costello, D.J
IEEE Transactions on Information Theory, ISSN 0018-9448, 12/2004, Volume 50, Issue 12, pp. 2966 - 2984
A class of algebraically structured quasi-cyclic (QC) low-density parity-check (LDPC) codes and their convolutional counterparts is presented. The QC codes are... 
Convolutional codes | message-passing | AWGN | Bit error rate | Very large scale integration | Sparse matrices | LDPC codes | Iterative decoding | LDPC convolutional codes | Convolution | low-density parity-check (LDPC) block codes | Parity check codes | quasi-cyclic (QC) codes | Block codes | Circulant matrices | Signal to noise ratio | Quasi-cyclic (QC) codes | Message-passing | Low-density parity-check (LDPC) block codes | iterative decoding | circulant matrices | PARITY-CHECK CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Research | Information theory | Codes
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11. Full Text Efficient Search of Girth-Optimal QC-LDPC Codes
by Tasdighi, Alireza and Banihashemi, Amir H and Sadeghi, Mohammad-Reza
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2016, Volume 62, Issue 4, pp. 1552 - 1564
In this paper, we study the cycle structure of quasi-cyclic (QC) low-density parity-check (LDPC) codes with the goal of obtaining the shortest code with a... 
Computer science | Computers | Girth- Optimal QC-LDPC Codes | Protograph Codes | Cyclic Liftings | Parity check codes | Bipartite graph | Indexes | Girth | Quasi-Cyclic Low-Density Parity-Check (QCLDPC) Codes | Manganese | girth-optimal QC-LDPC codes | ARRAY CODES | protograph codes | MATRICES | girth | PARITY-CHECK CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | cyclic liftings | Quasi-cyclic low-density paritycheck (QC-LDPC) codes | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Graph theory | Research | Codes | Probability distribution | Information theory
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12. Full Text LDPC codes based on Mobius transformations
by Gholami, Mohammad and Nassaj, Akram
IET Communications, ISSN 1751-8628, 7/2019, Volume 13, Issue 11, pp. 1615 - 1624
Recently, a class of low-density parity-check (LDPC) codes from affine permutation matrices, called APM-LDPC codes, have attracted because of some advantages... 
Research Article | square matrix | APM-LDPC codes | graph theory | parity check codes | PERFORMANCE | cyclic codes | cycle distribution | Tanner graph | desired girth | algebraic LDPC codes | deterministic algorithm | matrix algebra | QC-LDPC codes | nonbinary constructed MT-LDPC codes | affine permutation matrices | ENGINEERING, ELECTRICAL & ELECTRONIC | error-rate performance | CONSTRUCTION | PARITY-CHECK CODES | base matrix | Mobius transformation | low-density parity-check codes | minimum-distance
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13. Full Text Optimal Search for Girth-8 Quasi Cyclic and Spatially Coupled Multiple-Edge LDPC Codes
by Sadeghi, Mohammad-Reza
IEEE Communications Letters, ISSN 1089-7798, 09/2019, Volume 23, Issue 9, pp. 1466 - 1469
Two essential categories of LDPC codes that are more preferable to other types are quasi-cyclic LDPC (QC-LDPC) codes and spatially coupled LDPC convolutional... 
Multiple-edge protographs | girth | difference matrices | lifting degree | SC-LDPC-CCs | QC-LDPC codes
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14. Full Text Superposition Construction of Q -Ary LDPC Codes by Jointly Optimizing Girth and Number of Shortest Cycles
by Hengzhou Xu and Baoming Bai
IEEE Communications Letters, ISSN 1089-7798, 07/2016, Volume 20, Issue 7, pp. 1285 - 1288
In this letter, we consider the construction of q-ary low-density parity-check (LDPC) codes by jointly optimizing the girth and number of shortest cycles in... 
q-ary LDPC codes | superposition | Null space | Binary codes | girth | Silicon | Decoding | Sparse matrices | LDPC codes | Iterative decoding | quasi-cyclic (QC) LDPC codes | PARITY-CHECK CODES | TELECOMMUNICATIONS | Frames | Construction | Algorithms | Computer simulation | Error correcting codes | Optimization
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15. Full Text On the Girth of Quasi-Cyclic Protograph LDPC Codes
by Karimi, M and Banihashemi, A. H
IEEE Transactions on Information Theory, ISSN 0018-9448, 07/2013, Volume 59, Issue 7, pp. 4542 - 4552
In this paper, we study the relationships between the girth of the Tanner graph of a quasi-cyclic (QC) protograph low-density parity-check (LDPC) code, the... 
Upper bound | low-density parity-check (LDPC) codes | protograph LDPC codes | Cyclic lifting | lifting | girth | upper bounds on girth | Parity check codes | Bipartite graph | protograph | quasi-cyclic LDPC codes | Protograph | Upper bounds on girth | Protograph LDPC codes | Girth | Lifting | Quasi-cyclic LDPC codes | Low-density parity-check (LDPC) codes | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | ARRAY CODES | MATRICES | PARITY-CHECK CODES | Coding theory | Usage | Graph theory | Analysis | Low density parity check codes | Graphs
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16. Full Text Hard-Information Bit-Reliability Based Decoding Algorithm for Majority-Logic Decodable Nonbinary LDPC Codes
by Xiangcheng Li and Tuanfa Qin and Haiqiang Chen and Youming Sun and Qi Liang and Liping Luo
IEEE Communications Letters, ISSN 1089-7798, 05/2016, Volume 20, Issue 5, pp. 866 - 869
A modified bit-reliability based decoding algorithm is presented based on a recent work by Huang et al. For the presented algorithm, only one Galois field... 
Algorithm design and analysis | Hard information | Quantization (signal) | reliability-based | majoritylogic decoding | LDPC decoding | Decoding | Complexity theory | Reliability | Iterative decoding | non-binary LDPC codes | nonbinary LDPC codes | TELECOMMUNICATIONS
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17. Full Text Algebraic-Based Nonbinary LDPC Codes with Flexible Field Orders and Code Rates
by Hengzhou Xu Dan Feng Cheng Sun Baoming Bai
中国通信：英文版, ISSN 1673-5447, 2017, Volume 14, Issue 4, pp. 111 - 119
In this paper, we study the rank of matrices over GF（2^p）,and propose two construction methods for algebraic-based nonbinary LDPC codes from an existing LDPC... 
LDPC码 | 编码速率 | 非零元素 | 多进制 | AWGN信道 | AWGN channels | Redundancy | nonbinary LDPC codes; algebraic-based LDPC codes; rank; iterative algorithms | Finite element analysis | Decoding | Galois fields | Iterative decoding | algebraic-based LDPC codes | rank | nonbinary LDPC codes | iterative algorithms | OFDM SYSTEMS | DECODING ALGORITHMS | CONSTRUCTION | BINARY | TELECOMMUNICATIONS
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18. Full Text A Fully Parallel Nonbinary LDPC Decoder With Fine-Grained Dynamic Clock Gating
by Youn Sung Park and Yaoyu Tao and Zhengya Zhang
IEEE Journal of Solid-State Circuits, ISSN 0018-9200, 02/2015, Volume 50, Issue 2, pp. 464 - 475
Nonbinary LDPC (NB-LDPC) codes, defined over Galois field, offer better coding gain and a lower error floor than binary LDPC codes. However, the complex... 
Algorithm design and analysis | nonbinary LDPC code | Throughput | LDPC decoder architecture | Parity check codes | Decoding | Complexity theory | LDPC code | Indexes | Clocks | Dynamic clock gating | DESIGN | CODES | CONSTRUCTION | ARCHITECTURE | CHECK | ENGINEERING, ELECTRICAL & ELECTRONIC | Low density parity check codes | Energy efficiency
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19. Full Text Comparison of Low-Density Parity-Check Codes in ATSC 3.0 and 5G Standards
by Ahn, Seok-Ki and Kim, Kyung-Joong and Myung, Seho and Park, Sung-Ik and Yang, Kyeongcheol
IEEE Transactions on Broadcasting, ISSN 0018-9316, 09/2019, Volume 65, Issue 3, pp. 489 - 495
Recently, low-density parity-check (LDPC) codes have been adopted in Advanced Television Systems Committee 3.0 and 3rd Generation Partnership Project 5G... 
Phase change materials | 5G mobile communication | low-density parity-check (LDPC) codes | ATSC 30 | multi-edge type LDPC codes | Parity check codes | 3GPP | 3GPP 5G | quasi-cyclic LDPC codes | Digital video broadcasting | ATSC 3.0
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20. Full Text A Coded DCSK Modulation System Over Rayleigh Fading Channels
by Chen, Pingping and Shi, Long and Fang, Yi and Cai, Guofa and Wang, Lin and Chen, Guanrong
IEEE Transactions on Communications, ISSN 0090-6778, 09/2018, Volume 66, Issue 9, pp. 3930 - 3942
Coded modulation (CM) is a bandwidth efficient framework to approach the capacity limit of the differential chaos shift keying (DCSK) systems. In this paper,... 
Fading channels | UWB | Chaotic communication | Modulation | coded modulation | protograph-based LDPC codes | Detectors | DCSK | multipath Rayleigh fading channel | Decoding | Iterative decoding | protograph-hased LDPC codes | CAPACITY | DESIGN | NONBINARY LDPC CODES | TELECOMMUNICATIONS | RECEIVERS | CHAOTIC COMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | PERFORMANCE ANALYSIS | KEYING COMMUNICATION-SYSTEM | Fading | Keying | Codes | Broadband | Wireless networks | Ultrawideband | Information transfer | Bandwidth | Error correcting codes | Channels
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