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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 4 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 7 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 8 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 11 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 7 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