A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8
نویسندگان
1 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.
2 Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran.
3 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.
doi
10.22044/jas.2019.8086.1397چکیده
In this paper, we define a structure to obtain exponent matrices of girth-8 QC-LDPC codes with column weight 3. Using the difference matrices introduced by Amirzade et al., we investigate necessary and sufficient conditions which result in a Tanner graph with girth 8. Our proposed method contributes to reduce the search space in recognizing the elements of an exponent matrix. In fact, in this method we only search to obtain one row of an exponent matrix. The other rows are multiplications of that row.
