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A survey on protograph LDPC codes and their applications
Low-density parity-check (LDPC) codes have attracted much attention over the past two
decades since they can asymptotically approach the Shannon capacity in a variety of data …
decades since they can asymptotically approach the Shannon capacity in a variety of data …
Performance analysis of linear codes under maximum-likelihood decoding: A tutorial
This article is focused on the performance evaluation of linear codes under optimal
maximum-likelihood (ML) decoding. Though the ML decoding algorithm is prohibitively …
maximum-likelihood (ML) decoding. Though the ML decoding algorithm is prohibitively …
[کتاب][B] Information theory, inference and learning algorithms
DJC MacKay - 2003 - books.google.com
Information theory and inference, often taught separately, are here united in one entertaining
textbook. These topics lie at the heart of many exciting areas of contemporary science and …
textbook. These topics lie at the heart of many exciting areas of contemporary science and …
Capacity-approaching protograph codes
This paper discusses construction of protograph-based low-density parity-check (LDPC)
codes. Emphasis is placed on protograph ensembles whose typical minimum distance …
codes. Emphasis is placed on protograph ensembles whose typical minimum distance …
Sparse-graph codes for quantum error correction
Sparse-graph codes appropriate for use in quantum error-correction are presented.
Quantum error-correcting codes based on sparse graphs are of interest for three reasons …
Quantum error-correcting codes based on sparse graphs are of interest for three reasons …
Combinatorial constructions of low-density parity-check codes for iterative decoding
This paper introduces several new combinatorial constructions of low-density parity-check
(LDPC) codes, in contrast to the prevalent practice of using long, random-like codes. The …
(LDPC) codes, in contrast to the prevalent practice of using long, random-like codes. The …
Hierarchical memories: simulating quantum LDPC codes with local gates
CA Pattison, A Krishna, J Preskill - ar** set distribution of LDPC code ensembles
Stop** sets determine the performance of low-density parity-check (LDPC) codes under
iterative decoding over erasure channels. We derive several results on the asymptotic …
iterative decoding over erasure channels. We derive several results on the asymptotic …
High-rate girth-eight low-density parity-check codes on rectangular integer lattices
B Vasic, K Pedagani, M Ivkovic - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
This letter introduces a combinatorial construction of girth-eight high-rate low-density parity-
check codes based on integer lattices. The parity-check matrix of a code is defined as a …
check codes based on integer lattices. The parity-check matrix of a code is defined as a …