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» Isomorphisms of Algebraic Number Fields
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ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 11 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
MOC
2000
79views more  MOC 2000»
13 years 7 months ago
On fundamental domains of arithmetic Fuchsian groups
Let K be a totally real algebraic number field and O an order in a quaternion algebra A over K. Assume that the group O1 of units in O with reduced norm equal to 1 is embedded into...
Stefan J. Johansson
DCC
2008
IEEE
14 years 7 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
CADE
2004
Springer
14 years 7 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...
DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Applications to cryptography of twisting commutative algebraic groups
We give an overview on twisting commutative algebraic groups and applications to discrete log based cryptography. We explain how discrete log based cryptography over extension fie...
Alice Silverberg