High-rate, short length, (3,3s)-regular LDPC of girth 6 and 8

Michael E. O’Sullivan, Roxana Smarandache · 2003

This paper presents a simple construction of a class of LDPC codes generalizing [BHS01] and gives necessary and sufficient, easy to implement, conditions for avoiding 2m cycles, m/spl ges/2. The parity check matrix is formed by square blocks, with each block a sum of three permutation matrices, chosen such that the block is (3,3) regular. The resulting codes have rate (s-1)/s.

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