Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices

Haiyang LIU; Hao ZHANG; Lianrong MA; Lingjun KONG

doi:10.1587/transfun.2020EAL2031

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Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices

Haiyang LIU, Hao ZHANG, Lianrong MA, Lingjun KONG

著者情報

キーワード: Low-density parity-check (LDPC) codes, nonbinary, cyclic, quasi-cyclic (QC), α-multiplied parity-check matrix (PCM)

ジャーナル認証あり早期公開

論文ID: 2020EAL2031

DOI https://doi.org/10.1587/transfun.2020EAL2031

この記事には本公開記事があります。

The final version of this article is now available: Vol. E103.A (2020), No. 11 pp. 1299-1303

詳細

抄録

In this letter, the structural analysis of nonbinary cyclic and quasi-cyclic (QC) low-density parity-check (LDPC) codes with α-multiplied parity-check matrices (PCMs) is concerned. Using analytical methods, several structural parameters of nonbinary cyclic and QC LDPC codes with α-multiplied PCMs are determined. In particular, some classes of nonbinary LDPC codes constructed from finite fields and finite geometries are shown to have good minimum and stopping distances properties, which may explain to some extent their wonderful decoding performances.

責任著者(Corresponding author)

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