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On Disjoint Difference Sets and Their Associated QC-LDPC Codes with Large Girth | IEEE Conference Publication | IEEE Xplore

On Disjoint Difference Sets and Their Associated QC-LDPC Codes with Large Girth


Abstract:

The disjoint difference set (DDS) has been utilized in recent years to construct quasi-cyclic (QC) low-density parity-check (LDPC) codes without small cycles. However, th...Show More

Abstract:

The disjoint difference set (DDS) has been utilized in recent years to construct quasi-cyclic (QC) low-density parity-check (LDPC) codes without small cycles. However, the existing DDS-based QC-LDPC codes have no all-zero circulants, which limits the decoding performance of such codes to some extent. In this paper, two new types of DDS-based QC-LDPC codes are proposed, which contain all-zero circulants and possess girth at least eight and girth at least ten, respectively. Numerical simulations show that the new codes have good performance in AWGN channels. Besides, a new result on existence for DDSs and two novel deterministic constructions for DDSs are put forward.
Date of Conference: 10-12 August 2023
Date Added to IEEE Xplore: 01 September 2023
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Conference Location: Dalian, China

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