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DISCO
1993
156views Hardware» more  DISCO 1993»
14 years 2 months ago
Variant Handling, Inheritance and Composition in the ObjectMath Computer Algebra Environment
ObjectMath is a high-level programming environment and modeling language for scientific computing which supports variants and graphical browsing in the environment and integrates o...
Peter Fritzson, Vadim Engelson, Lars Viklund
ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
14 years 3 months ago
Algorithms for polynomial GCD computation over algebraic function fields
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Mark van Hoeij, Michael B. Monagan
JNCA
2008
104views more  JNCA 2008»
13 years 10 months ago
Computing in social networks with relationship algebra
Communities are the latest phenomena on the Internet. At the heart of each community lies a social network. In this paper, we show a generalized framework to understand and reason...
Javed I. Khan, Sajid S. Shaikh
CRYPTO
2006
Springer
232views Cryptology» more  CRYPTO 2006»
14 years 1 months 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 2 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...