Various code constructions use expander graphs to improve the error resilience. Often the use of expanding graphs comes at the expense of the alphabet size. This is the case, e.g., in [1], [8] and [7]. We show that by replacing the balanced expanding graphs used in the above constructions with unbalanced dispersers or extractors depending on the actual construction) the alphabet size can be dramatically improved. Contents
Practical applications that employ entropy coding for large alphabets often partition the alphabet s...
It is known that the expansion property of a graph influences the performance of the corresponding c...
We revisit the asymptotic analysis of probabilistic construction of adjacency matrices of expander g...
• What is an expander? Why are we interested in unbalanced condensers? What are the optimal paramete...
In this note we revisit the construction of high noise, almost optimal rate list decodable code of G...
We study the classical expander codes, introduced by Sipser and Spielman [M. Sipser and D. A. Spielm...
Wherever information is transmitted we can find error-correcting codes. LDPC (low density parity che...
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expans...
An expander code is a binary linear code whose parity-check matrix is the bi-adjacency matrix of a b...
International audienceProofs of Retrievability (PoR) protocols ensure that a client can fully retrie...
We present a novel error correcting code and decoding algorithm which have construction similar to e...
Expander graphs are highly connected sparse graphs which lie at the interface of many different fields...
A new technique, based on the pseudo-random properties of certain graphs, known as expanders, is use...
A study of the efficiency, error-correcting capabilities, and limitations of graph theoretic block c...
Practical applications that employ entropy coding for large alphabets often partition the alphabet ...
Practical applications that employ entropy coding for large alphabets often partition the alphabet s...
It is known that the expansion property of a graph influences the performance of the corresponding c...
We revisit the asymptotic analysis of probabilistic construction of adjacency matrices of expander g...
• What is an expander? Why are we interested in unbalanced condensers? What are the optimal paramete...
In this note we revisit the construction of high noise, almost optimal rate list decodable code of G...
We study the classical expander codes, introduced by Sipser and Spielman [M. Sipser and D. A. Spielm...
Wherever information is transmitted we can find error-correcting codes. LDPC (low density parity che...
We give an improved explicit construction of highly unbalanced bipartite expander graphs with expans...
An expander code is a binary linear code whose parity-check matrix is the bi-adjacency matrix of a b...
International audienceProofs of Retrievability (PoR) protocols ensure that a client can fully retrie...
We present a novel error correcting code and decoding algorithm which have construction similar to e...
Expander graphs are highly connected sparse graphs which lie at the interface of many different fields...
A new technique, based on the pseudo-random properties of certain graphs, known as expanders, is use...
A study of the efficiency, error-correcting capabilities, and limitations of graph theoretic block c...
Practical applications that employ entropy coding for large alphabets often partition the alphabet ...
Practical applications that employ entropy coding for large alphabets often partition the alphabet s...
It is known that the expansion property of a graph influences the performance of the corresponding c...
We revisit the asymptotic analysis of probabilistic construction of adjacency matrices of expander g...