97 search results - page 16 / 20 » Finding roots of polynomials over finite fields |
STOC
2009
ACM
14 years 8 months ago
2009
ACM
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
FFA
2008
13 years 7 months ago
2008
Let Fq be a finite field and consider the polynomial ring Fq[X]. Let Q Fq[X]. A function f : Fq[X] G, where G is a group, is called strongly Q-additive, if f(AQ + B) = f(A) + f(B...
DCC
2010
IEEE
13 years 2 months ago
2010
IEEE
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
EUROCRYPT
2006
Springer
13 years 11 months ago
2006
Springer
Abstract. We introduce VSH, very smooth hash, a new S-bit hash function that is provably collision-resistant assuming the hardness of finding nontrivial modular square roots of ver...
FOCS
1999
IEEE
13 years 11 months ago
1999
IEEE
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...