Sciweavers

47 search results - page 7 / 10
» Testing Low-Degree Polynomials over Prime Fields
Sort
View
FOCS
1992
IEEE
13 years 11 months ago
Computing in Solvable Matrix Groups
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
Eugene M. Luks
APPROX
2009
Springer
136views Algorithms» more  APPROX 2009»
14 years 1 months ago
Succinct Representation of Codes with Applications to Testing
Motivated by questions in property testing, we search for linear error-correcting codes that have the “single local orbit” property: i.e., they are specified by a single loca...
Elena Grigorescu, Tali Kaufman, Madhu Sudan
WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
14 years 12 days ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
Naomi Benger, Michael Scott
FOCS
1998
IEEE
13 years 11 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
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