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A Deterministic Construction and Density Evolution Analysis for Generalized Product Codes

Häger, Christian, 1986 (author)
Chalmers tekniska högskola,Chalmers University of Technology
Pfister, Henry D. (author)
Graell i Amat, Alexandre, 1976 (author)
Chalmers tekniska högskola,Chalmers University of Technology
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Brännström, Fredrik, 1974 (author)
Chalmers tekniska högskola,Chalmers University of Technology
Agrell, Erik, 1965 (author)
Chalmers tekniska högskola,Chalmers University of Technology
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 (creator_code:org_t)
2016
2016
English.
  • Conference paper (other academic/artistic)
Abstract Subject headings
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  • Generalized product codes (GPCs) are extensions of product codes (PCs) where code symbols are protected by two component codes but not necessarily arranged in a rectangular array. In this tutorial paper, we review a deterministic construction for GPCs that has been previously proposed by the authors together with an accompanying density evolution (DE) analysis. The DE analysis characterizes the asymptotic performance of the resulting GPCs under iterative bounded-distance decoding of the component codes over the binary erasure channel. As an application, we discuss the analysis and design of three different classes of GPCs: spatially-coupled PCs, symmetric GPCs, and GPCs based on component code mixtures.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)
TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Kommunikationssystem (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Communication Systems (hsv//eng)

Keyword

braided codes
Deterministic generalized product codes
spatially-coupled codes
bounded-distance decoding
random graphs
staircase codes

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