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4-Cycle Free LDPC Codes Based on Difference Sets

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2 Author(s)
Esmaeili, M. ; Dept. of Math. Sci., Isfahan Univ. of Technol., Isfahan, Iran ; Javedankherad, M.

Difference sets are used to give a novel method for constructing structured regular quasi-cyclic low-density parity-check codes. Let Fq be a field with q elements and assume that D={d1,..., dk} is a (v,k,1)-difference set for Zv with d1<;d2<;...<;dk. Depending on v=q-1, v≥ 2dk or v≥ 2dk-1, three code construction methods are given that produce regular 4-cycle free codes, that is codes with girth at least 6. Simulation results show that the constructed codes perform well over the AWGN channel with an iterative sum-product message-passing decoding algorithm.

Published in:

Communications, IEEE Transactions on  (Volume:60 ,  Issue: 12 )