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Conferences | Publications | Talks | Teaching | Links | Preprints |

Institute for Information Security and Cryptology

Ruhr-Universität Bochum

Universitätsstraße 150

D-44780 Bochum

Germany

Room NA 5/74

Phone: ++49 (0)234 32 23260

Fax.: ++49 (0)234 32 14430

e-mail:Lange@itsc.ruhr-uni-bochum.de

This year the The 8th Workshop on Elliptic Curve Cryptography (ECC 2004) is preceeded by a Summer School on Elliptic Curve Cryptography.

- CHES 2004
- SCN 2004, the fourth edition of the Conference on Security in Communication Networks '04
- The 8th Workshop on Elliptic Curve Cryptography (ECC 2004)
- Indocrypt 2004
- Cryptographers' Track of the RSA Conference, CT-RSA 2005
- WCC - Workshop on Coding and Cryptography
- SHARCS - Special-purpose Hardware for Attacking Cryptographic Systems

*Factoring polynomials over arbitrary finite fields*,(with A. Winterhof) Theoretical Computer Science 234 (2000), 301-308.*Algorithms for factoring polynomials over arbitrary finite fields*, (with A. Winterhof), Proceedings of the Fifth International Conference on Finite Fields and Applications 2000, (Springer 2001), 319-328.*Speeding up the Arithmetic on Hyperelliptic Koblitz Curves of Genus 2*, (with C. Günther and A. Stein) Selected Areas in Cryptography, SAC 2001, Lecture Notes in Computer Science 2012, (Springer 2001), 106-117.*Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions*, (with A. Winterhof) in: Electronic Notes in Discrete Mathematics 6 as Proocedings of: International Workshop on Coding and Cryptography (WCC 2001).*Incomplete character sums over finite fields and their applications to the interpolation of the discrete logarithm by Boolean functions*, (with A. Winterhof) Acta Arithmetica 101 (2002), 223-229.*Linear Complexity of the Discrete Logarithm*, (with S. Konyagin and I. Shparlinski), Designs, Codes and Cryptography 28 (2003), 135-146.*Interpolation of the Discrete Logarithm in*, (with A. Winterhof), Discrete Applied Mathematics 128/1 (2003), 193 - 206.**F**_{q}by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of*q-1**Polynomial Interpolation of the Elliptic Curve and XTR Discrete Logarithm*, (with A. Winterhof) Proceedings of the 8th Annual International Computing and Combinatorics Conference (COCOON'02) (Singapore, 2002), LNCS 2387, 137-143.*Koblitz Curve Cryptosystems*, STJournal of System Research 4 (2003), 29-36.*Improved Algorithms for Efficient Arithmetic on Elliptic Curve using Fast Endomorphisms,*(with M. Ciet, F. Sica and J.-J. Quisquater ) Proceedings of Eurocrypt 2003, LNCS 2656, 388-400.*Interpolation of the Elliptic-Curve Diffie-Hellman Mapping*, (with A. Winterhof), Proceedings of AAECC 2003, LNCS 2643, 51-60.*Trace-Zero Subvariety for Cryptosystems*, to appear in Journal of the Ramanujan Mathematical Society.*On Using Expansions to the Base of $-2$*, (with R. Avanzi, G. Frey, and R. Oyono), to appear in International Journal on Computer Mathematics vol 81 no 4, 2004.*Montgomery Addition for Genus Two Curves*, to appear in Proceedings of ANTS 2004.*Certain exponential sums and random walks on elliptic curves*, (with I. Shparlinski), submitted.*Formulae for Arithmetic on Genus 2 Hyperelliptic Curves*, to appear in J. AAECC.*Mathematical Background of Public Key Cryptography*, (with G. Frey ), see also Preprint 10/2003 of the IEM, Essen.*Koblitz Curve Cryptosystems*, to appear in FFA.*Collisions in Fast Generation of Ideal Classes and Points on Hyperelliptic and Elliptic Curves*, (with I. Shparlinski), to appear in J. AAECC.- tbc.

*Fast arithmetic on hyperelliptic Koblitz curves*,

at the MAGiC conference in Urbana/Champaign

Abstract

M1.ps M2.ps M3.ps Slides (3 files, middle one containing picture of Diffie-Hellman key-exchange)

*Speeding up the arithmetic on hyperelliptic Koblitz curves via Frobenius*,

seminar talk at Information Protection Seminar in Urbana/Champaign

Abstract

Slides*Schnelle Arithmetik auf hyperelliptischen Kurven*,

(german) seminar talk at Oberseminar Algorithmische Mathematik in Paderborn

Abstract

Slides*Hyperelliptische Kurven in der Kryptographie*,

(german) talk at the workshop "Alternative Public-Key-Algorithmen" organized by ECC-Brainpool

Folien*Trace-Zero Subvariety for Cryptosystems*,

talk at YACC 2002

Abstract

Slides*Efficient arithmetic on (hyper-)elliptic curves over finite fields*,

talk at UCL Crypto Group - Seminar Series

Slides*Efficient arithmetic on (hyper-)elliptic curves over finite fields*,

talk at 2003 International Symposium on Next Generation Cryptography and Related Mathematics, Japan

Slides*Efficient arithmetic on (hyper-)elliptic curves over finite fields*,

talk at Computational Aspects of Algebraic Curves, and Cryptography, Gainesville

Slides*Efficient arithmetic on (hyper-)elliptic curves over finite fields*,

talk at Cryptography Seminar in Rennes

Slides

*Improved Algorithms for Efficient Arithmetic on Elliptic Curve using Fast Endomorphisms*,

talk given by Francesco Sica at Eurocrypt 2003

Slides in pdf

*Efficient arithmetic on (hyper-) elliptic curves over finite fields*,

talk at ECC 2003

Slides

*Cryptographic Applications of Trace Zero Varieties*,

talk at Mathematics of Discrete Logarithms, Essen

Slides

*Cryptographic Applications of Trace Zero Varieties*,

talk at Dagsthul Seminar -- Algorithms and Number Theory

Slides

*Mathematical Countermeasures Against Side-Channel Attacks on ECC/HECC*,

talk at YACC 2004

Slides

*Introduction to Side-Channel Attacks on elliptic and hyperelliptic curves*,

talk at ANTS VI 2004

Slides

*Montgomery Addition for Genus Two Curves*,

talk at ANTS VI 2004

Slides

*Mathematical Countermeasures against Side-Channel Attacks on Elliptic and Hyperelliptic Curves*,

talk at WARTACRYPT '04

Slides

- This term I'm giving practice hours for "Mathematics II for engineers".
- You find the homepage of the Mathekids Bochum here (only in german).