Abstract
In this paper, some regular and irregular girth-8 cycle codes with arbitrarily high code rates are presented which have minimum lengths among all girth-8 cycle codes having parity-check matrices of the same row regularity. The parity-check matrices of the constructed girth-8 cycle codes can be considered as the mother matrices of some quasi-cyclic (QC) cycle codes with maximum-achievable girth 24 having better rates rather than the girth-24 Geometric and Cylinder-type cycle codes. Simulation results show that the binary and non-binary constructed cycle codes perform better than the repeat accumulate (RA) codes, progressive edge growth (PEG) codes and random-like LDPC codes of the same lengths and rates.
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