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» On Coherence in Computer Algebra
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CRYPTO
2006
Springer
232views Cryptology» more  CRYPTO 2006»
14 years 16 days ago
Algebraic Geometric Secret Sharing Schemes and Secure Multi-Party Computations over Small Fields
Abstract. We introduce algebraic geometric techniques in secret sharing and in secure multi-party computation (MPC) in particular. The main result is a linear secret sharing scheme...
Hao Chen, Ronald Cramer
ISSAC
1998
Springer
117views Mathematics» more  ISSAC 1998»
14 years 1 months ago
Lightweight Formal Methods for Computer Algebra Systems
In this paper we demonstrate the use of formal methods tools to provide a semantics for the type hierarchy of the AXIOM computer algebra system, and a methodology for Aldor progra...
Martin Dunstan, Tom Kelsey, Steve Linton, Ursula M...
ISSAC
1994
Springer
119views Mathematics» more  ISSAC 1994»
14 years 29 days ago
Branch Cuts in Computer Algebra
Many standard functions, such as the logarithm and square root functions, cannot be de ned continuously on the complex plane. Mistaken assumptions about the properties of these fu...
Adam Dingle, Richard J. Fateman
JSC
2008
96views more  JSC 2008»
13 years 8 months ago
Computing the algebraic relations of C-finite sequences and multisequences
We present an algorithm for computing generators for the ideal of algebraic relations among sequences which are given by homogeneous linear recurrence equations with constant coef...
Manuel Kauers, Burkhard Zimmermann
CAD
2006
Springer
13 years 9 months ago
Computing minimum distance between two implicit algebraic surfaces
The minimum distance computation problem between two surfaces is very important in many applications such as robotics, CAD/CAM and computer graphics. Given two implicit algebraic ...
Xiao-Diao Chen, Jun-Hai Yong, Guo-Qin Zheng, Jean-...