Type-II QC-LDPC codes from multiplicative subgroup of prime field
G Zhang, Y Hu, D Ren, Y Liu, Y Yang - IEEE Access, 2020 - ieeexplore.ieee.org
A quasi-cyclic (QC) low-density parity-check (LDPC) code is called type-II, if the maximum
weight over all circulants appearing in the parity-check matrix has the value of two. On the
basis of multiplicative subgroup analysis for the prime field, a novel algebraic approach for
type-II QC-LDPC codes is proposed from Tanner's method. For column weight of four, the
new type-II codes possess girth at least six and include a subset with very small circulant
sizes almost attaining the theoretical lower bound. The new approach can yield type-II codes …
weight over all circulants appearing in the parity-check matrix has the value of two. On the
basis of multiplicative subgroup analysis for the prime field, a novel algebraic approach for
type-II QC-LDPC codes is proposed from Tanner's method. For column weight of four, the
new type-II codes possess girth at least six and include a subset with very small circulant
sizes almost attaining the theoretical lower bound. The new approach can yield type-II codes …
[PDF][PDF] Type-II QC-LDPC Codes From Multiplicative Subgroup of Prime Field
Y LIU, Y YANG - scholar.archive.org
ABSTRACT A quasi-cyclic (QC) low-density parity-check (LDPC) code is called type-II, if the
maximum weight over all circulants appearing in the parity-check matrix has the value of
two. On the basis of multiplicative subgroup analysis for the prime field, a novel algebraic
approach for type-II QC-LDPC codes is proposed from Tanner's method. For column weight
of four, the new type-II codes possess girth at least six and include a subset with very small
circulant sizes almost attaining the theoretical lower bound. The new approach can yield …
maximum weight over all circulants appearing in the parity-check matrix has the value of
two. On the basis of multiplicative subgroup analysis for the prime field, a novel algebraic
approach for type-II QC-LDPC codes is proposed from Tanner's method. For column weight
of four, the new type-II codes possess girth at least six and include a subset with very small
circulant sizes almost attaining the theoretical lower bound. The new approach can yield …
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