Results 51 to 60 of about 250 (178)
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
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
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
Counting short cycles of QC‐LDPC codes in base graph
Here, a method for using the base matrix to count the number of short cycles of quasi‐cyclic low‐density parity‐check codes is proposed. The time complexity of the proposed algorithm is not directly related to the length of the codes, but only to the number of edges in the base graph. Moreover, as the lifting degree of the codes increases, the proposed
Liqian Wang +3 more
wiley +1 more source
Girth-Eight Reed-Solomon Based QC-LDPC Codes [PDF]
This paper presents a class of regular quasi-cyclic (QC) LDPC codes whose Tanner graphs have girth at least eight. These codes are constructed based on the conventional parity-check matrices of Reed-Solomon (RS) codes with minimum distance 5. Masking their parity-check matrices significantly reduces the numbers of short cycles in their Tanner graphs ...
Xin Xiao 0001 +4 more
openaire +1 more source
On the lifting degree of girth-8 QC-LDPC codes
The lifting degree and the deterministic construction of quasi-cyclic low-density parity-check (QC-LDPC) codes have been extensively studied, with many construction methods in the literature, including those based on finite geometry, array-based codes, computer search, and combinatorial techniques.
Haoran Xiong +3 more
openaire +2 more sources
Construction and Encoding of QC-LDPC Codes Using Group Rings [PDF]
Quasi-cyclic (QC) low-density parity-check (LDPC) codes which are known as QC-LDPC codes, have many applications due to their simple encoding implementation by means of cyclic shift registers. In this paper, we construct QC-LDPC codes from group rings.
Hassan Khodaiemehr, Dariush Kiani
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Novel construction of QC-LDPC codes with modified 2-D GRS codes
The construction method for QC-LDPC (quasi-cyclic low density parity-check) code with modified two-dimensional generalized reed-solomon (2-D GRS) code is proposed using the generator polynomial of GRS code,so thus the constructed code can have better ...
Ming ZHAO, Xiao-lin ZHANG
doaj +2 more sources
Type-II QC-LDPC Codes From Multiplicative Subgroup of Prime Field
A quasi-cyclic (QC) low-density parity-check (LDPC) code is called type-II, if the maximum weight over all circulants appearing in the parity-check matrix has the value of two. On the basis of multiplicative subgroup analysis for the prime field, a novel
Guohua Zhang +4 more
doaj +1 more source

