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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History

  • Receive Date: 27 May 2014
  • Revise Date: 28 February 2015
  • Accept Date: 26 February 2015
  • Published Online: 01 June 2016

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