Title
Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations.
Abstract
We present an efficient endomorphism for the Jacobian of a curve C of genus 2 for divisors having a Non disjoint support. This extends the work of Costello and Lauter in [12] who calculated explicit formulae for divisor doubling and addition of divisors with disjoint support in J(F)(C) using only base field operations. Explicit formulae is presented for this third case and a different approach for divisor doubling.
Year
DOI
Venue
2014
10.1556/012.2015.52.2.1313
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Keywords
DocType
Volume
Hyperelliptic curve cryptography,hyperelliptic curves over finite fields,algebraic function fields over finite fields
Journal
52
Issue
ISSN
Citations 
2
0081-6906
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Eduardo Ruiz Duarte100.34
Octavio Páez Osuna220.83