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Double Cylinder Cycle codes of Arbitrary Girth

Published 10 Feb 2014 in cs.IT, cs.DM, math.CO, and math.IT | (1403.0804v1)

Abstract: A particular class of low-density parity-check codes referred to as cylinder-type BC-LDPC codes is proposed by Gholami and Eesmaeili. In this paper We represent a double cylinder-type parity-check matrix H by a graph called the block-structure graph of H and denoted by BSG(H). Using the properties of BSG(H) we propose some mother matrices with column-weight two such that the rate of corresponding cycle codes are greater tan cycle codes constructed by Gholami with same girth.

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