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» Extractors from Reed-Muller codes
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JCSS
2006
59views more  JCSS 2006»
13 years 5 months ago
Extractors from Reed-Muller codes
Amnon Ta-Shma, David Zuckerman, Shmuel Safra
EUROCRYPT
2007
Springer
13 years 11 months ago
Cryptanalysis of the Sidelnikov Cryptosystem
We present a structural attack against the Sidelnikov cryptosystem [8]. The attack creates a private key from a given public key. Its running time is subexponential and is effecti...
Lorenz Minder, Amin Shokrollahi
ICS
2010
Tsinghua U.
13 years 9 months ago
Weight Distribution and List-Decoding Size of Reed-Muller Codes
: We study the weight distribution and list-decoding size of Reed-Muller codes. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with a w...
Tali Kaufman, Shachar Lovett, Ely Porat
CORR
2006
Springer
112views Education» more  CORR 2006»
13 years 5 months ago
Complementary Sets, Generalized Reed-Muller Codes, and Power Control for OFDM
The use of error-correcting codes for tight control of the peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency-division multiplexing (OFDM) transmission is considere...
Kai-Uwe Schmidt
FOCS
2010
IEEE
13 years 3 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan