TY - JOUR ID - 2195 TI - (7,K) GIRTH-8 QC-LDPC CODES WITH AN EXPLICIT CONSTRUCTION JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Majdzadeh, M. AU - Gholami, M. AU - Raeisi, Gh. AD - Department of Mathematics, Shahrekord University, Shahrekord, Iran. Y1 - 2022 PY - 2022 VL - 9 IS - 2 SP - 229 EP - 239 KW - QC-LDPC codes KW - explicit constructions KW - girth KW - exponent matrix DO - 10.22044/jas.2021.8911.1434 N2 - Recently, for each row weight $K$ and column-weight $J$, $3\le J< K$, several classes of $(J,K)$ quasi-cyclic (QC) low-density parity-check (LDPC) codes with girth 8 have been constructed explicitly such that their corresponding lower-bounds on the size of circulant permutation matrices (CPMs) have been considered small as possible. In this paper, for $J=7$, a class of $(7,K)$ QC-LDPC codes with girth 8 is generated by an explicit method such that the lower-bounds of the constructed codes remarkably are better than the state-of-the-art bound $(K-1)(K^2+K)+1$. UR - https://jas.shahroodut.ac.ir/article_2195.html L1 - https://jas.shahroodut.ac.ir/article_2195_c0df1d88cfdf2c920bfa4dcd2111e302.pdf ER -