The Arithmetic of Elliptic and Hyperelliptic Curves with Applications to Pairing-Based Cryptography

After giving an extensive treatment of the theory of algebraic curves and their connection to the theory of algebraic function fields of one variable, the thesis concentrates on pairings (such as the Tate pairing) defined on groups related to a given absolutely irreducible non-singular curve over a finite field. Those pairings are being studied in terms of their usability in cryptography. Important special cases, such as elliptic and hyperelliptic curves are being discussed, whereas the arithmetic of those curves lies in the focus.

Level thesis:degree_level

Diplom

Grantor dc:publisher

Universität Oldenburg

Year

2009

Author dc:creator

• Peter, Andreas

• Hyperelliptische Kurve , Miller Algorithmus , Tate Paarung , Weil Paarung

Repository record source_url

http://oops.uni-oldenburg.de/905

OAI identifier oai:identifier

oai:oops.uni-oldenburg.de:905