100 search results - page 14 / 20 » Arithmetic on superelliptic curves |
PAIRING
2010
Springer
13 years 6 months ago
2010
Springer
This paper describes the design of a fast software library for the computation of the optimal ate pairing on a Barreto–Naehrig elliptic curve. Our library is able to compute the ...
WAIFI
2010
Springer
14 years 20 days ago
2010
Springer
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
COMPGEOM
2001
ACM
13 years 11 months ago
2001
ACM
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
ANTS
2004
Springer
14 years 1 months ago
2004
Springer
Abstract. This paper presents an investigative account of arbitrary cubic function fields. We present an elementary classification of the signature of a cubic extension of a rati...
MOC
2011
13 years 2 months ago
2011
We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues assoc...