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ECCC
2011
206views ECommerce» more  ECCC 2011»
12 years 8 months ago
On the Degree of Univariate Polynomials Over the Integers
We study the following problem raised by von zur Gathen and Roche [GR97]: What is the minimal degree of a nonconstant polynomial f : {0, . . . , n} → {0, . . . , m}?
Gil Cohen, Amir Shpilka, Avishay Tal
ECCC
2011
180views ECommerce» more  ECCC 2011»
12 years 11 months ago
Two Comments on Targeted Canonical Derandomizers
We revisit the notion of a targeted canonical derandomizer, introduced in our recent ECCC Report (TR10-135) as a uniform notion of a pseudorandom generator that suffices for yield...
Oded Goldreich
ECCC
2011
187views ECommerce» more  ECCC 2011»
12 years 8 months ago
In Brute-Force Search of Correlation Bounds for Polynomials
We report on some initial results of a brute-force search for determining the maximum correlation between degree-d polynomials modulo p and the n-bit mod q function. For various s...
Frederic Green, Daniel Kreymer, Emanuele Viola
ECCC
2011
171views ECommerce» more  ECCC 2011»
12 years 8 months ago
Testing Linear Properties: Some general themes
The last two decades have seen enormous progress in the development of sublinear-time algorithms — i.e., algorithms that examine/reveal properties of “data” in less time tha...
Madhu Sudan
ECCC
2011
190views ECommerce» more  ECCC 2011»
12 years 8 months ago
Optimal heuristic algorithms for the image of an injective function
The existence of optimal algorithms is not known for any decision problem in NP \ P. We consider the problem of testing the membership in the image of an injective function. We co...
Edward A. Hirsch, Dmitry Itsykson, Valeria Nikolae...