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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title = "Combinatorial design-based Quasi-cyclic LDPC codes with girth eight",
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.",
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Combinatorial design-based Quasi-cyclic LDPC codes with girth eight. / Vafi, Sina; Majid, Narges Rezvani.

In: Digital Communications and Networks, Vol. 4, No. 4, 11.2018, p. 296-300.

Research output: Contribution to journalArticleResearchpeer-review

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AB - 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.

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