100 search results - page 7 / 20 » Arithmetic on superelliptic curves |
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
ARC
2006
Springer
13 years 11 months ago
2006
Springer
This paper presents a reconfigurable hardware architecture for Public-key cryptosystems. By changing the connections of coarse grain Carry-Save Adders (CSAs), the datapath provides...
ISCAS
2006
IEEE
14 years 1 months ago
2006
IEEE
— We propose a fast Modular Arithmetic Logic Unit (MALU) that is scalable in the digit size (d) and the field size (k). The datapath of MALU has chains of Carry Save Adders (CSA...
ESA
2003
Springer
14 years 25 days ago
2003
Springer
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
ASIACRYPT
1999
Springer
13 years 12 months ago
1999
Springer
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...