Group-theoretic analysis of Cayley-graph-based cycle GF(2p) codes
IEEE Transactions on Communications
Design of fast-prunable S-random interleavers
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory - Part 1
IEEE Transactions on Information Theory
Good error-correcting codes based on very sparse matrices
IEEE Transactions on Information Theory
Factor graphs and the sum-product algorithm
IEEE Transactions on Information Theory
Design of capacity-approaching irregular low-density parity-check codes
IEEE Transactions on Information Theory
Interleavers for turbo codes using permutation polynomials over integer rings
IEEE Transactions on Information Theory
Regular and irregular progressive edge-growth tanner graphs
IEEE Transactions on Information Theory
TS-LDPC Codes: Turbo-Structured Codes With Large Girth
IEEE Transactions on Information Theory
Large-girth nonbinary QC-LDPC codes of various lengths
IEEE Transactions on Communications
Performance evaluation of regular cycle non-binary LDPC codes in AWGN channel
Proceedings of the International Conference on Advances in Computing, Communications and Informatics
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In this paper, we study nonbinary regular LDPC cycle codes whose parity check matrix H has fixed column weight j = 2 and fixed row weight d. Through graph analysis, we show that the parity check matrix H of a regular cycle code can be put into an equivalent structure in the form of concatenation of row-permuted block-diagonal matrices if d is even, or, if d is odd and the code's associated graph contains at least one spanning subgraph that consists of disjoint edges. This equivalent structure of H enables: i) parallel processing in lineartime encoding; ii) considerable resource reduction on the code storage for encoding and decoding; and iii) parallel processing in sequential belief-propagation decoding, which increases the throughput without compromising performance or complexity. On the code's structure design, we propose a novel design methodology based on the equivalent structure of H. Finally, we present various numerical results on the code performance and the decoding complexity.