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» Lower Bounds on the Rate-Distortion Function of LDGM Codes
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TIT
2008
78views more  TIT 2008»
15 years 1 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
15 years 6 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»
14 years 12 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»
15 years 7 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
13 years 3 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