Seminar Advanced Topics in Crytography

Corresponding entry in Aachen Campus, Bonn Computer Science, Bonn Mathematics, Bonn University.

Lecture

Michael Nüsken

Time & Place

Thursday, 10⁰⁰- 12⁰⁰, b-it 2.1 (seminar room).

Allocation

2 SWS, 4 credits

Media Informatics, Communication Skills.
University of Bonn - Computer Science, A or A1.
University of Bonn - Mathematics, ??.

Prerequisites

Basic knowledge of cryptography will be helpful. Fast understanding of mathematical and computer science topics is required.

This semester's seminar probably focusses again on elliptic curves. Other option are: Coding theory, Topics from recent crypto conferences, ... We will decide on the topic in the first meeting.

Schedule

Note that this is a working seminar. Its sessions might be less structured, talks more ad-hoc and with more discussion than usual. A session might thus expand and use another week or shrink.

8 May 2008, Friday, 30 May 2008, 11¹⁵, 6 June 2007, 11¹⁵:: Daniel Loebenberger. Weil-Pairing: construction and alternatives.
Friday, 6 June 2008, 11¹⁵; Friday, 13 June 2008, 11¹⁵; Friday, 20 June 2008, 11¹⁵; Friday, 27 June 2008, 11¹⁵; Friday, 11 July 2008, 11¹⁵; Friday, 18 July 2008, 11¹⁵:: Jérémie Detrey. Tate, etaT, distortion. All pairings and a lower bound. (Hess 2008, Vercauteren 2008)
Friday, 25 July 2008, 14⁰⁰:: ?. Twists and distortion. [Examples. How to get them in general? How to find pairing friendly curves with nice ones?]
All the time .: All of us, `Eddies' (Edward's form).
.

Some further topics we might choose from:

Pairings on Eddies. (Joux & Ionica 2008, Ionica 2008)
Factoring with elliptic curves. (..., Bernstein, Lange, Peters 2008)
Blake, Seroussi & Smart (1999), Chapters ??.
Hyperelliptic curves.
Applications of Elliptic Curves with pairings.
Proofs of Security for ECIES.
Side channel analysis and defences.
Weil descent attacks, MOV.

Literature

Ian Blake, Gadiel Seroussi & Nigel Smart (2005). Advances in Elliptic Curve Cryptography.
Ian Blake, Gadiel Seroussi & Nigel Smart (1999). Elliptic Curve Cryptography.
Lawrence C. Washington (2003). Elliptic Curves; Number Theory and Cryptography.
Ian Connell (1999). Elliptic Curve Handbook.
Henry Cohen, Gerhard Frey, Roberto Avanzi, Chritophe Doche, Tanja Lange, Kim Nguyen & Frederik Vercauteren (2005). Handbook of Elliptic and Hyperelliptic Curve Cryptography.
Alfred J. Menezes, Yi-Hong Wu & Robert J. Zuccherato (1996). An elementary introduction to hyperelliptic curves. Technical Report CORR 96-19, Department of C&O, University of Waterloo, Ontario, Canada.
Slides from ECC 2006 .
Franz Lemmermeyer (2003). List of various lecture notes on elliptic curves.
Wikipedia (2007). Elliptic Curve Cryptography