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» Bounds on Codes Based on Graph Theory
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CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 2 months ago
Algebraic Constructions of Graph-Based Nested Codes from Protographs
Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement binning schemes in the presence ...
Christine A. Kelley, Jörg Kliewer
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 5 months ago
Network Coding for Speedup in Switches
We present a graph theoretic upper bound on speedup needed to achieve 100% throughput in a multicast switch using network coding. By bounding speedup, we show the equivalence betwe...
MinJi Kim, Jay Kumar Sundararajan, Muriel Mé...
CATS
2006
13 years 6 months ago
A Polynomial Algorithm for Codes Based on Directed Graphs
A complete description and proof of correctness are given for a new polynomial time algorithm for a class of codes based on directed graphs and involving construction well known i...
A. V. Kelarev
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 9 months ago
Analysis of Low Density Codes and Improved Designs Using Irregular Graphs
In [6], Gallager introduces a family of codes based on sparse bipartite graphs, which he calls low-density parity-check codes. He suggests a natural decoding algorithm for these c...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 5 months ago
Better extractors for better codes?
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
Venkatesan Guruswami