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Quasi-Cyclic LDPC Codes on Latin Squares and the Ranks of their Parity-Check Matrices
"... Abstract — Quasi-cyclic codes are the most promising class of structured LDPC codes due to their ease of implementation and excellent performance over noisy channels when decoded with message-passing algorithms as extensive simulation studies have shown. An approach for constructing quasi-cyclic LDP ..."
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Abstract — Quasi-cyclic codes are the most promising class of structured LDPC codes due to their ease of implementation and excellent performance over noisy channels when decoded with message-passing algorithms as extensive simulation studies have shown. An approach for constructing quasi-cyclic
Constructions of High Performance Non-Binary Quasi-Cyclic LDPC Codes
, 2008
"... quasi-cyclic LDPC codes ..."
Algebraic Constructions of Nonbinary Quasi-Cyclic LDPC Codes: Array Masking and Dispersion ∗
"... Abstract — This paper is concerned with algebraic constructions of nonbinary quasi-cyclic (QC) LDPC codes based on arrays of circulant permutation matrices constructed from finite fields. Two methods, array masking and dispersion, are presented for constructing nonbinary QC-LDPC codes. Simulation re ..."
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Cited by 10 (1 self)
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Abstract — This paper is concerned with algebraic constructions of nonbinary quasi-cyclic (QC) LDPC codes based on arrays of circulant permutation matrices constructed from finite fields. Two methods, array masking and dispersion, are presented for constructing nonbinary QC-LDPC codes. Simulation
Circulant Arrays on Cyclic Subgroups of Finite Fields: Rank Analysis and Construction of Quasi-Cyclic LDPC Codes
"... ar ..."
Decoding of Quasi-Cyclic LDPC Codes With Section-Wise Cyclic Structure
"... Abstract—Presented in this paper is a reduced-complexity iterative decoding scheme for quasi-cyclic (QC) LDPC codes. This decoding scheme is devised based on the section-wise cyclic structure of the parity-check matrix of a QC-LDPC code. Using this decoding scheme, the hardware implementation comple ..."
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Abstract—Presented in this paper is a reduced-complexity iterative decoding scheme for quasi-cyclic (QC) LDPC codes. This decoding scheme is devised based on the section-wise cyclic structure of the parity-check matrix of a QC-LDPC code. Using this decoding scheme, the hardware implementation
Design of Non-Binary Quasi-Cyclic LDPC Codes by ACE Optimization
"... Abstract—An algorithm for constructing Tanner graphs of non-binary irregular quasi-cyclic LDPC codes is introduced. It employs a new method for selection of edge labels allowing control over the code’s non-binary ACE spectrum and resulting in low error-floor. The efficiency of the algorithm is demon ..."
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Abstract—An algorithm for constructing Tanner graphs of non-binary irregular quasi-cyclic LDPC codes is introduced. It employs a new method for selection of edge labels allowing control over the code’s non-binary ACE spectrum and resulting in low error-floor. The efficiency of the algorithm
High-rate non-binary regular quasi-cyclic LDPC codes for optical communications
- IEEE/OSA Journal of Lightwave Technology (JLT
"... Abstract—The parity-check matrix of a nonbinary (NB) low-density parity-check (LDPC) code over Galois field is constructed by assigning nonzero elements from to the 1s in corresponding binary LDPC code. In this paper, we state and prove a theorem that establishes a necessary and sufficient co ..."
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Cited by 4 (0 self)
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con-dition that an NB matrix over constructed by assigning nonzero elements from to the 1s in the parity-check matrix of a binary quasi-cyclic (QC) LDPC code, must satisfy in order for its null-space to define a nonbinary QC-LDPC (NB-QC-LDPC) code. We also provide a general scheme
Quantization Index Modulation: A Class of Provably Good Methods for Digital Watermarking and Information Embedding
- IEEE TRANS. ON INFORMATION THEORY
, 1999
"... We consider the problem of embedding one signal (e.g., a digital watermark), within another "host" signal to form a third, "composite" signal. The embedding is designed to achieve efficient tradeoffs among the three conflicting goals of maximizing information-embedding rate, mini ..."
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Cited by 495 (15 self)
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(AWGN) channels, which may be good models for hybrid transmission applications such as digital audio broadcasting, and mean-square-error-constrained attack channels that model private-key watermarking applications.
Quasi-cyclic ldpc codes for the magnetic recording channel: Code design and vlsi implementation
- IEEE Trans. Magn
, 2007
"... By implementing a field-programmable gate array (FPGA)-based simulator, we investigate the performance of randomly constructed high-rate quasi-cyclic (QC) low-density parity-check (LDPC) codes for the magnetic recording channel at very low block sector error rates. On the basis of extensive simulati ..."
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Cited by 7 (1 self)
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By implementing a field-programmable gate array (FPGA)-based simulator, we investigate the performance of randomly constructed high-rate quasi-cyclic (QC) low-density parity-check (LDPC) codes for the magnetic recording channel at very low block sector error rates. On the basis of extensive
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