Abstract:Since their rediscovery in the early 1990s, low-density parity-check (LDPC)
codes have become the most popular error-correcting codes owing to their
excellent performance. An LDPC code is a linear block code that has a sparse
parity-check matrix. Cycles in this matrix, particularly short cycles,
degrade the performance of such a code. Hence, several methods for counting
short cycles in LDPC codes have been proposed, such as Fan?s method to
detect 4-cycles, 6- cycles, 8-cycles, and 10-cycles. … Show more
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