Midwest Arithmetical Geometry in Cryptography Workshop

November 17 - 19, 2000

University of Illinois at Urbana-Champaign


All talks will be in room B02, CSRL

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Abstracts.

Friday, November 17

9:15-9:30 Opening by Tony Waldrop, Vice-Chancellor for Research.

9:30-10:30 Gerhard Frey "Discrete logarithms and algebraic realizations"

10:30-11 Coffee and snacks

11-12 Alfred Menezes "Introduction to elliptic curve cryptography"

12-2 Free lunch, 3rd Floor Reading Room, CSRL

2-3 François Morain "Basics on point counting algorithms"

3-3:30 Coffee and snacks

3:30-4:30 Kumar Murty "An application of sieve methods to elliptic curves"

4:30-5:15 Tanja Lange "Fast arithmetic on hyperelliptic Koblitz curves"

6-7 Reception, Grainger Engineering Library

6:30-7 Opening of Illinois Center for Cryptography and Information Protection

7-8:15 Banquet, Grainger

8:15-9 Performance by magician, Keith Page, Grainger

Saturday, November 18

9:30-10:30 Alfred Menezes "Discrete logarithm cryptographic protocols"

10:30-11 Coffee and snacks

11-12 François Morain "Schoof's algorithm for elliptic curves and the ideas of Elkies-Atkin"

12-2 Free lunch, 3rd Floor Reading Room, CSRL

2-3 Gerhard Frey "Computing in ideal classes of polynomial orders and especially quadratic orders"

3-3:30 Coffee and snacks

3:30-4:15 Joachim Rosenthal "Using low density parity check codes in the McEliece cryptosystem"

4:15-4:45 Rich Schroeppel "Elliptic curve point halving wins big"

4:45-5 Break

5-6 Alice Silverberg "Ranks of elliptic curves in families of quadratic twists"

Sunday, November 19

9-10 François Morain "Discrete logarithm computation"

10-10:30 Coffee and snacks

10:30-11:30 Gerhard Frey "The role of the Frobenius automorphism in cryptography"

11:30-12:30 Alfred Menezes "Efficient implementation of elliptic curve cryptography"

Additional Talks This Week

4:30-5:30, Weds, Nov 15, 114 CSRL; Tanja Lange "Speeding up the arithmetic on hyperelliptic Koblitz curves via Frobenius"

2-3, Thurs, Nov 16, 243 Altgeld Hall; Kumar Murty "The least prime in a conjugacy class"

Affiliations of Speakers

Gerhard Frey (Institut für Experimentelle Mathematik, Essen, Germany)

Alfred Menezes (Certicom Corp. and Centre for Applied Cryptographic Research, University of Waterloo, Canada)

François Morain (Laboratoire d'Informatique de l'École Polytechnique, France)

Tanja Lange (Institut für Experimentelle Mathematik, Essen, Germany)

Kumar Murty (University of Toronto, Canada)

Joachim Rosenthal (University of Notre Dame)

Rich Schroeppel (Sandia National Labs and University of Arizona)

Alice Silverberg (MSRI and Ohio State University)