Title :
Design of Binary and Nonbinary Codes from Lifting of Girth-8 Cycle Codes with Minimum Lengths
Author :
Gholami, M. ; Samadieh, M.
Author_Institution :
Dept. of Math., Shahrekord Univ., Shahrekord, Iran
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 nonbinary 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.
Keywords :
binary codes; cyclic codes; parity check codes; PEG codes; QC cycle codes; RA codes; binary constructed cycle code design; cylinder-type cycle codes; girth-24 geometric-type cycle codes; high code rates; irregular girth-8 cycle codes; nonbinary constructed cycle code design; parity-check matrices; progressive edge growth codes; quasicyclic cycle codes; random-like LDPC codes; regular girth-8 cycle codes; repeat accumulate codes; Bit error rate; Complexity theory; Decoding; Encoding; Hardware; Parity check codes; Simulation; LDPC codes; Tanner graph; girth;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2013.020513.122820
