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Parity-check matrix

Known as: Check matrix, Parity check matrix 
In coding theory, a parity-check matrix of a linear block code C is a matrix which describes the linear relations that the components of a codeword… Expand
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Papers overview

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Highly Cited
2018
Highly Cited
2018
A compact encoding process with three phases is proposed for quasi-cyclic low-density parity-check (QC-LDPC) codes. A back… Expand
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Highly Cited
2012
Highly Cited
2012
A matrix-theoretic approach for studying quasi-cyclic codes based on matrix transformations via Fourier transforms and row and… Expand
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Highly Cited
2010
Highly Cited
2010
Quasi-cyclic LDPC codes are the most promising class of structured LDPC codes due to their ease of implementation and excellent… Expand
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Highly Cited
2007
Highly Cited
2007
In the late 1950s and early 1960s, finite fields were successfully used to construct linear block codes, especially cyclic codes… Expand
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Highly Cited
2004
Highly Cited
2004
A class of algebraically structured quasi-cyclic (QC) low-density parity-check (LDPC) codes and their convolutional counterparts… Expand
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Highly Cited
2001
Highly Cited
2001
Low-density parity-check (LDPC) codes can be considered serious competitors to turbo codes in terms of performance and complexity… Expand
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Highly Cited
2001
Highly Cited
2001
This paper presents a geometric approach to the construction of low-density parity-check (LDPC) codes. Four classes of LDPC codes… Expand
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Highly Cited
1999
Highly Cited
1999
We present a class of convolutional codes defined by a low-density parity-check matrix and an iterative algorithm for decoding… Expand
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Highly Cited
1993
Highly Cited
1993
Zero-knowledge proofs were introduced in 1985, in a paper by Goldwasser, Micali and Rackoff ([6]). Their practical significance… Expand
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Highly Cited
1962
Highly Cited
1962
A low-density parity-check code is a code specified by a parity-check matrix with the following properties: each column contains… Expand
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