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» Finding Small Solutions to Small Degree Polynomials
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ISTCS
1995
Springer
13 years 11 months ago
Some Improvements to Total Degree Tests
A low-degree test is a collection of simple, local rules for checking the proximity of an arbitrary function to a lowdegree polynomial. Each rule depends on the function’s value...
Katalin Friedl, Madhu Sudan
EUROCRYPT
2009
Springer
14 years 8 months ago
Cube Attacks on Tweakable Black Box Polynomials
Almost any cryptographic scheme can be described by tweakable polynomials over GF(2), which contain both secret variables (e.g., key bits) and public variables (e.g., plaintext bit...
Itai Dinur, Adi Shamir
FOCS
2002
IEEE
14 years 18 days ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
CISC
2007
Springer
111views Cryptology» more  CISC 2007»
14 years 1 months ago
Multivariates Polynomials for Hashing
We propose the idea of building a secure hash using quadratic or higher degree multivariate polynomials over a finite field as the compression function. We analyze some security ...
Jintai Ding, Bo-Yin Yang
JAIR
2006
87views more  JAIR 2006»
13 years 7 months ago
Fault Tolerant Boolean Satisfiability
A -model is a satisfying assignment of a Boolean formula for which any small alteration, such as a single bit flip, can be repaired by flips to some small number of other bits, yi...
Amitabha Roy