Combinatorial design-based Quasi-cyclic LDPC codes with girth eight

Sina Vafi, Narges Rezvani Majid

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    Abstract

    This paper presents a novel regular Quasi-cyclic (QC) Low Density Parity Check (LDPC) codes with column-weight three and girth at least eight. These are designed on the basis of combinatorial design in which subsets applied for the construction of circulant matrices are determined by a particular subset. Considering the non existence of cycles four and six in the structure of the parity check matrix, a bound for their minimum weight is proposed. The simulations conducted confirm that without applying a masking technique, the newly implemented codes have a performance similar to or better than other well-known codes. This is evident in the waterfall region, while their error floor at very low bit error rate (BER) is expected.

    Original languageEnglish
    Pages (from-to)296-300
    Number of pages5
    JournalDigital Communications and Networks
    Volume4
    Issue number4
    DOIs
    Publication statusPublished - Nov 2018

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