The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
This article presents detailed implementations of quantifier elimination for both integer and real linear arithmetic for theorem provers. The underlying algorithms are those by Coo...
FPGAs offer flexibility and cost-effectiveness that ASICs cannot match; however, their performance is quite poor in comparison, especially for arithmetic dominated circuits. To ad...
Philip Brisk, Ajay K. Verma, Paolo Ienne, Hadi Par...
Abstract. The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of ...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...