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» Lower Bounds on the Rate-Distortion Function of LDGM Codes
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TIT
2008
78views more  TIT 2008»
13 years 6 months ago
Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
The nonlinearity profile of a Boolean function (i.e. the sequence of its minimum Hamming distances nlr(f) to all functions of degrees at most r, for r 1) is a cryptographic crite...
Claude Carlet
ICALP
2005
Springer
13 years 11 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 4 months ago
Rate-distortion function via minimum mean square error estimation
Abstract—We derive a simple general parametric representation of the rate–distortion function of a memoryless source, where both the rate and the distortion are given by integr...
Neri Merhav
APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
13 years 11 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
MOBIHOC
2012
ACM
11 years 8 months ago
Throughput of rateless codes over broadcast erasure channels
In this paper, we characterize the throughput of a broadcast network with n receivers using rateless codes with block size K. We assume that the underlying channel is a Markov mod...
Yang Yang, Ness B. Shroff