on the girth of tanner (3,7) quasi-cyclic ldpc codes
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abstract
s. kim et al. have been analyzed the girth of some algebraically structured quasi-cyclic (qc) low-density parity-check (ldpc) codes, i.e. tanner $(3,5)$ of length $5p$, where $p$ is a prime of the form $15m+1$. in this paper, by extension this method to tanner $(3,7)$ codes of length $7p$, where $p$ is a prime of the form $21m+ 1$, the girth values of tanner $(3,7)$ codes will be derived. as an advantage, the rate of tanner $(3,7)$ codes is about $0.17$ more than the rate of tanner $(3,5)$ codes.
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Journal title:
transactions on combinatoricsPublisher: university of isfahan
ISSN 2251-8657
volume 1
issue 2 2012
Keywords
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