A REDUCTION IN THE SEARCH SPACE OF QC-LDPC CODES WITH GIRTH 8 | ||
| Journal of Algebraic Systems | ||
| مقاله 13، دوره 7، شماره 2، فروردین 2020، صفحه 271-280 اصل مقاله (133.14 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.8086.1397 | ||
| نویسندگان | ||
| F. Amirzade1؛ M. Alishahi1؛ M.R. Rafsanjani-Sadeghi* 2 | ||
| 1Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. | ||
| 2Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| QC-LDPC codes؛ Girth؛ Difference matrices؛ Lifting degree | ||
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آمار تعداد مشاهده مقاله: 535 تعداد دریافت فایل اصل مقاله: 619 |
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