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» Testing Low-Degree Polynomials over Prime Fields
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FOCS
1992
IEEE
15 years 1 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»
15 years 4 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»
15 years 2 months 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
15 years 1 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
15 years 29 days 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