Abstract
Recently, the incidence matrices of some block designs have been considered as the mother matrices of some quasi-cyclic (QC) low-density parity-check (LDPC) codes with maximum girth 20. In fact, the authors have introduced a deterministic algorithm which randomly, by a computer search, generates the slope vectors corresponding to the codes with desired girth, not greater than 20. In this paper, by rearranging the blocks of each block design, some slope vectors are proposed with an explicit method such that their corresponding QC LDPC codes have girth 8. Then, for each slope vector S, the lower bound Q(S) is found such that the QC LDPC codes with slope vector S and block size N, N ≥ Q, have girth at least 8.
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Acknowledgments
We would like to thank the anonymous referees for their helpful comments. This work was supported in part by the research council of Shahrekord University. Moreover, the first author was in part supported by a Grant from IPM (No. 93050065).
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Gholami, M., Gholami, Z. An Explicit Method to Generate Some QC LDPC Codes with Girth 8. Iran. J. Sci. Technol. Trans. Sci. 40, 145–149 (2016). https://doi.org/10.1007/s40995-016-0008-9
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DOI: https://doi.org/10.1007/s40995-016-0008-9