MAGMA Computational Algebra System

LOW DENSITY PARTY CHECK CODES

 
Acknowledgements
 
Introduction
      Constructing LDPC Codes
      Access Functions
      LDPC Decoding and Simulation
      Density Evolution

DETAILS

 
Introduction

      Constructing LDPC Codes
            LDPCCode(H) : MtrxSprs -> Code
            GallagerCode(n, a, b) : RngIntElt, RngIntElt, RngIntElt -> Code
            RegularLDPCEnsemble(n, a, b) : RngIntElt, RngIntElt, RngIntElt -> Code
            IrregularLDPCEnsemble(n, Sv, Sc) : RngIntElt, SeqEnum, SeqEnum -> Code
            MargulisCode(p) : RngIntElt -> Code
            Example CodeLDPC_IsLDPC (H129E1)

      Access Functions
            IsLDPC(C) : Code -> BoolElt
            AssignLDPCMatrix(~C, H) : Code, MtrxSprs ->
            LDPCMatrix(C) : Code -> MtrxSprs
            LDPCDensity(C) : Code -> FldReElt
            IsRegularLDPC(C) : Code -> BoolElt
            TannerGraph(C) : Code -> Grph
            LDPCGirth(C) : Code -> RngIntElt
            LDPCEnsembleRate(v, c) : RngIntElt, RngIntElt -> FldReElt
            Example CodeLDPC_IsLDPC (H129E2)

      LDPC Decoding and Simulation
            LDPCDecode(C, v) : Code, ModTupRngElt -> ModTupRngElt
            Example CodeLDPC_DecodeLDPC-BSC (H129E3)
            Example CodeLDPC_DecodeLDPC-BSC (H129E4)
            LDPCSimulate(C, N) : Code, RngIntElt -> FldReElt, FldReElt
            Example CodeLDPC_DecodeEnsemble (H129E5)

      Density Evolution
            LDPCBinarySymmetricThreshold(v, c) : RngIntElt, RngIntElt -> FldReElt
            DensityEvolutionBinarySymmetric(v, c, p) : RngIntElt, RngIntElt, FldReElt -> BoolElt
            Example CodeLDPC_DE-BSC (H129E6)
            LDPCGaussianThreshold(v, c) : RngIntElt, RngIntElt -> FldReElt
            DensityEvolutionGaussian(v, c, σ) : RngIntElt, RngIntElt, FldReElt -> BoolElt
            GoodLDPCEnsemble(i) : RngIntElt, -> FldReElt, [FldReElt], [FldReElt]
            Example CodeLDPC_DEGaussian (H129E7)

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