Title :
Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates
Author :
Wollinger, Thomas ; Kovtun, Vladyslav
Author_Institution :
Escrypt
Abstract :
This contribution proposes a modification of method of divisors group operation in the Jacobian of hyperelliptic curve over even and odd characteristic fields in projective coordinate. The hyperelliptic curve cryptosystem (HECC), enhances cryptographic security efficiency in e.g. information and telecommunications systems (ITS)
Keywords :
Jacobian matrices; cryptography; Jacobian; cryptographic security; divisors group operation; explicit formulae; genus 2 hyperelliptic curves; hyperelliptic curve cryptosystem; projective coordinates; Arithmetic; Elliptic curve cryptography; Elliptic curves; Information security; Information technology; Jacobian matrices; Observability; Protection; Public key; Public key cryptography;
Conference_Titel :
Information Technology, 2007. ITNG '07. Fourth International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
0-7695-2776-0
DOI :
10.1109/ITNG.2007.94
