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104
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EJC
2011
14 years 8 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann
127
Voted
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
15 years 6 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
151
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DLOG
2011
14 years 5 months ago
Bidirectional Reachability-Based Modules
We introduce an algorithm for MinA extraction in EL based on bidirectional reachability. We obtain a significant reduction in the size of modules extracted at almost no additional...
Riku Nortje, Arina Britz, Thomas Andreas Meyer
129
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CRYPTO
2001
Springer
111views Cryptology» more  CRYPTO 2001»
15 years 6 months ago
On the Cost of Reconstructing a Secret, or VSS with Optimal Reconstruction Phase
Consider a scenario where an l-bit secret has been distributed among n players by an honest dealer using some secret sharing scheme. Then, if all players behave honestly, the secre...
Ronald Cramer, Ivan Damgård, Serge Fehr
ICALP
2005
Springer
15 years 7 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek