Results 81 to 90 of about 21,530 (259)
Code-based public-key cryptosystems based on QC-LDPC and QC-MDPC codes are promising post-quantum candidates to replace quantum vulnerable classical alternatives.
A Becker +14 more
core +1 more source
Some variations of Tanner's construction for short length QC‐LDPC codes
We propose a variation of Tanner's construction for quasi‐cyclic low‐density parity‐check codes in a way that allows us to use NON‐prime lifting sizes by using some arithmetic sequences instead of geometric sequences. We prove two theorems on the values of this lifting sizes so that the resulting code has girth at least 8.
Wonjun Kim +3 more
wiley +1 more source
Derived dynamic scheduling for belief propagation decoding of LDPC codes
Our article introduces two innovative dynamic scheduling strategies, derived informed variable‐to‐check residual belief propagation and derived variable‐node and variable‐to‐check‐edge residual belief propagation, for low‐density parity‐check (LDPC) codes.
Xiaotian Xu, Hua Zhou, Jiayi Zhao
wiley +1 more source
Constructing Large Girth QC Protograph LDPC Codes Based on PSD-PEG Algorithm
For a given base graph, the lifted graph can be obtained by a copy-and-permute procedure. If the permutation is cyclic, the lifted graph corresponds to a quasi-cyclic (QC) protograph low-density parity-check (LDPC) code.
Xue-Qin Jiang +3 more
doaj +1 more source
Relation Between GCD Constraint and Full-Length Row-Multiplier QC-LDPC Codes With Girth Eight
The greatest-common-divisor (GCD) method is a general framework employing a set of simple inequalities (called GCD constraint) to guarantee girth eight for a class of $(J,L)$ quasi-cyclic (QC) low-density parity-check (LDPC) codes.
Guohua Zhang +3 more
semanticscholar +1 more source
This paper investigates a backscatter communication (BackCom) based non‐orthogonal multiple access (NOMA) system in a multiple‐input and single‐output (MISO) scenario, where two decoding methods are deployed, including the sum‐capacity approach and QR decomposition.
Dingjia Lin +4 more
wiley +1 more source
Tanner (3, 23)-Regular QC-LDPC Codes: Cycle Structure and Girth Distribution
This paper studies a class of quasi-cyclic LDPC (QC-LDPC) codes, i.e., Tanner (3, 23)-regular QC-LDPC codes of code length $23p$ with $p$ being a prime and $p \equiv 1 (\mathrm {mod} 69)$ .
Qi Wang +5 more
doaj +1 more source
Parameters of LDPC codes, such as minimum distance, stopping distance, stopping redundancy, girth of the Tanner graph, and their influence on the frame error rate performance of the BP, ML and near-ML decoding over a BEC and an AWGN channel are studied ...
A Orlitsky +19 more
core +1 more source
A cyclic‐shift based method for counting cycles of quasi‐cyclic LDPC codes
This paper presents some new necessary and sufficient conditions for the existence of cycles with arbitrary lengths and proposes a simple and novel method for counting cycles of QC‐LDPC codes based on the improved condition. Compared with the existing methods, the presented method is effective and feasible and can enumerate cycles of QC‐LDPC codes in a
Hengzhou Xu +5 more
wiley +1 more source
Efficient Search of Compact QC-LDPC and SC-LDPC Convolutional Codes with Large Girth
We propose a low-complexity method to find quasi-cyclic low-density parity-check block codes with girth 10 or 12 and shorter length than those designed through classical approaches.
Baldi, Marco +4 more
core +1 more source

