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» Pseudorandom Bits for Polynomials
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FOCS
2007
IEEE
14 years 5 months ago
Pseudorandom Bits for Polynomials
We present a new approach to constructing pseudorandom generators that fool lowdegree polynomials over finite fields, based on the Gowers norm. Using this approach, we obtain th...
Andrej Bogdanov, Emanuele Viola
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 11 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
IMA
2005
Springer
71views Cryptology» more  IMA 2005»
14 years 4 months ago
Concrete Security of the Blum-Blum-Shub Pseudorandom Generator
Abstract. The asymptotic security of the Blum-Blum-Shub (BBS) pseudorandom generator has been studied by Alexi et al. and Vazirani and Vazirani, who proved independently that O(log...
Andrey Sidorenko, Berry Schoenmakers
EUROCRYPT
2009
Springer
14 years 11 months ago
Verifiable Random Functions from Identity-Based Key Encapsulation
We propose a methodology to construct verifiable random functions from a class of identity based key encapsulation mechanisms (IB-KEM) that we call VRF suitable. Informally, an IB-...
Michel Abdalla, Dario Catalano, Dario Fiore
CRYPTO
2000
Springer
91views Cryptology» more  CRYPTO 2000»
14 years 3 months ago
An Improved Pseudo-random Generator Based on Discrete Log
Under the assumption that solving the discrete logarithm problem modulo an n-bit prime p is hard even when the exponent is a small c-bit number, we construct a new and improved pse...
Rosario Gennaro