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» On Polynomial Time Computation over Unordered Structures
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CIE
2009
Springer
14 years 3 months ago
Decidability of Sub-theories of Polynomials over a Finite Field
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...
Alla Sirokofskich
STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 8 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
IS
2010
13 years 7 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
14 years 21 days 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
FOCS
1991
IEEE
14 years 2 days ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer