Recursive construction of $(J,L)$ QC LDPC codes with girth 6

Document Type: Research Paper

Authors

1 Shahrekord University

2 University of Shahrekord,

Abstract

‎In this paper‎, ‎a recursive algorithm is presented to generate some exponent matrices which correspond to Tanner graphs with girth at least 6‎. ‎For a $J \times L$ exponent matrix $E$‎, ‎the lower bound $Q(E)$ is obtained explicitly such that $(J,L)$ QC LDPC codes with girth at least 6 exist for any circulant permutation matrix (CPM) size $m \geq Q(E)$‎. ‎The results show that the exponent matrices constructed with our recursive algorithm have smaller lower-bound than the ones proposed recently with girth 6‎.

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References

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Transactions on Combinatorics

Volume 5, Issue 2
June 2016
Pages 11-22

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