Construction method of QC-LDPC codes based on multiplicative group of finite field in optical communication-中国Betway体育网页登陆

摘要 Inordertomeettheneedsofhigh-speeddevelopmentofopticalcommunicationsystem,aconstructionmethodofquasi-cycliclow-densityparity-check(QC-LDPC)codesbasedonmultiplicativegroupoffinitefieldisproposed.TheTannergraphofparitycheckmatrixofthecodeconstructedbythismethodhasnocycleoflength4,anditcanmakesurethattheobtainedcodecangetagooddistanceproperty.Simulationresultsshowthatwhenthebiterrorrate(BER)is10-6,inthesamesimulationenvironment,thenetcodinggain(NCG)oftheproposedQC-LDPC(3780,3540)codewiththecoderateof93.7%inthispaperisimprovedby2.18dBand1.6dBrespectivelycomparedwiththoseoftheRS(255,239)codeinITU-TG.975andtheLDPC(32640,30592)codeinITU-TG.975.1.Inaddition,theNCGoftheproposedQC-LDPC(3780,3540)codeisrespectively0.2dBand0.4dBhighercomparedwiththoseoftheSG-QC-LDPC(3780,3540)codebasedonthetwodifferentsubgroupsinfinitefieldandtheAS-QC-LDPC(3780,3540)codebasedonthetwoarbitrarysetsofafinitefield.Thus,theproposedQC-LDPC(3780,3540)codeinthispapercanbewellappliedinopticalcommunicationsystems.

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Construction method of QC-LDPC codes based on multiplicative group of finite field in optical communication

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