on the girth of tanner (3,7) quasi-cyclic ldpc codes

Authors

mohammad gholami

fahime sadat mostafaiee

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 combinatorics

Publisher: university of isfahan

ISSN 2251-8657

volume 1

issue 2 2012

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