Spatially-Coupled MacKay-Neal Codes with No Bit Nodes of Degree Two Achieve the Capacity of BEC
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math.IT
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codesachievecapacitydegreenodesmackay-nealsc-mnspatially-coupled
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Obata et al. proved that spatially-coupled (SC) MacKay-Neal (MN) codes achieve the capacity of BEC. However, the SC-MN codes codes have many variable nodes of degree two and have higher error floors. In this paper, we prove that SC-MN codes with no variable nodes of degree two achieve the capacity of BEC.
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Cited by 1 Pith paper
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Spatially Coupled MacKay-Neal/Hsu-Anastasopoulos CSS Codes Achieve the Quantum-Erasure Hashing Bound by Seeded BP Decoding
Spatially coupled MN/HA CSS codes achieve the quantum-erasure hashing bound under seeded BP decoding at the DE level for the X/Z equal-rate family.
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