Coding Theory and Cryptology
Eindhoven Institute for the Protection of Systems and Information
Department of Mathematics and Computer Science
Room HG 9.94
Technische Universiteit Eindhoven
P.O. Box 513
5600 MB Eindhoven
Netherlands

Phone: +31 (0) 40 247 4764
Fax.: +31 (0)40 247 5366

The easiest ways to reach me whereever I am:
e-mail:tanja@hyperelliptic.org

Seite auf deutsch

• DIAC - Directions in Authenticated Ciphers, July 05 - 06, 2012
• Code-based Cryptography Workshop 20129-11 May 2012, Lyngby, Denmark
• Registration is open Pairing 2012. The workshop will take place in Cologne right before PKC.
• Workshop on Elliptic Curves in Cryptography, Oct 2012 Mexico.
• SHARCS 2012. The workshop will take place in Washington right before FSE and SHA-3.
• Algebra 2 (Fall 2011)
  
• Kerckhoff Master Course: Cryptography I (Fall 2011)
  
• Coding Theory and Cryptology I (Fall 2011)
  
• YouTube video on Faster Computation of the Tate Pairing about paper with Christophe Arne, Michael Naehrig, Christophe Ritzenthaler. Michael's whole family in action!
• We're working on the ECC2K-130 challenge. Our preprint is now on ePrint as 2009/541 and we present regular updates on our twitter page ECCchallenge.
• Our team, posting as @hashbreaker and @CodingCrypto has won Engineyard's SHA-1 challenge! For details on the computation see here.
  
• The Coding and Cryptography Computer Cluster (CCCC) has its own page.
• Our paper ECM on graphics cards got accepted to Eurocrypt 2009.
• Our attack on the McEliece cryptosystem finished succesfully! The paper describing the background appeared at the second PQCrypto 2008 workshop. The attack finished after 8000 CPU-days. See also the press coverage.
• Binary Edwards Curves; also have a look at the Slides from the Eurocrypt Rump-Session or those from Dan's and my presentation in Madrid
• Explicit-Formulas Database
• Edwards coordinates
• We are a node of ECRYPT - European Network of Excellence in Cryptology.
• CACE - Computer Aided Cryptography Engineering got funding in the 7th EU-Framework program.

• Editorial board Applicable Algebra in Engineering, Communication and Computing (AAECC)
• Editorial board Advances in Mathematics of Communications (AMC)
• Steering committee Pairing conference
• Steering committee Workshop on Elliptic Curve Cryptography (ECC)
• Steering committee Post-Quantum Cryptography workshop
• Associate Editor of Encyclopedia of Cryptography and Security (2nd edition), Springer. Editors in chief are Henk van Tilborg and Sushil Jajodia

• WAIFI 2012
• Pairing 2012(program co-chair with Michel Abdalla)
• SHARCS 2012
• PQCrypto 2011
• WCC - Workshop on Coding and Cryptography 2011
• Indocrypt 2010
• Crypto 2010
• SAC 2010
• Latincrypt 2010
• Workshop on Tools for Cryptanalysis 2010
• Workshop on the Arithmetic of Finite Fields (WAIFI 2010)
• PQCrypto 2010
• Africacrypt 2010 (program co-chair with Daniel J. Bernstein)
• Computer Security and Cryptography
• Indocrypt 2009
• CANS 2009
• Hash³:Proofs, Analysis, and Implementation
• SPEED-CC (organizer)
• SHARCS 2009 (program co-chair)
• ECC 2009
• Pairing 2009
• Africacrypt 2009
• Indocrypt 2008
• ASIACRYPT 2008
• PQCrypto 2008
• The 12th Workshop on Elliptic Curve Cryptography (ECC 2008) (Organizer)
• Pairing 2008
• 8th Central European Conference on Cryptography - Graz 2008
• The 13th Australasian Conference on Information Security and Privacy (ACISP 2008)
• AfricaCrypt 2008
• SHARCS'07 - Special-purpose Hardware for Attacking Cryptographic Systems (Program Co-Chair)
• 11th Workshop on Elliptic Curve Cryptography (ECC 2007)
• Tutorial on Elliptic and Hyperelliptic Curve Cryptography 2007 (Organizer)
• CRYPTO 2007
• The 14th Annual Workshop on Selected Areas in Cryptography
• CNIS 2007
• SECRYPT 2007
• Pairing2007
• International Workshop on the Arithmetic of Finite Fields (WAIFI 2007)
• SPEED - Software Performance Enhancement for Encryption and Decryption (Organizer)
• 2th Australasian Conference on Information Security and Privacy
• INDOCRYPT 2006 (Program Co-Chair)
• ASIACRYPT2006
• The 10th Workshop on Elliptic Curve Cryptography (ECC 2006)
• Summer School on Elliptic and Hyperelliptic Curve Cryptography (Organizer)
• SECRYPT 2006
• PQCrypto 2006: International Workshop on Post-Quantum Cryptography
• SHARCS'06 - Special-purpose Hardware for Attacking Cryptographic Systems (Program Co-Chair)
• ACISP 2006
• Indocrypt 2005
• Asiacrypt 2005
• 4th International Conference on CRYPTOLOGY AND NETWORK SECURITY
• The 9th Workshop on Elliptic Curve Cryptography (ECC 2005) (Organizer)
• FICS-Summer School on "Elliptic Curves in Cryptography" (Organizer)
• Cryptologie et Algorithmique En Normandie (CAEN'05)
• EIDMA Mini-Course "Computational Methods in Public Key Cryptology" (Co-Organizer)
• Pairings in Cryptography
• Applied Cryptography and Network Security 2005
• Information Security & Hiding (ISH '05)
• SHARCS'05 - Special-purpose Hardware for Attacking Cryptographic Systems (Program Co-Chair)
• WCC - Workshop on Coding and Cryptography 2005
• Cryptographers' Track of the RSA Conference, CT-RSA 2005
• Indocrypt 2004
• Oberwolfach Seminar: Arithmetic Geometry and Public Key Cryptography (Co-Organizer)
• The 8th Workshop on Elliptic Curve Cryptography (ECC 2004) (Co-Organizer)
• ECRYPT Summer School on "Elliptic Curves in Cryptography" (Organizer)
• SCN 2004, the fourth edition of the Conference on Security in Communication Networks '04
• CHES 2004

• Peter Birkner (PhD since February 2009)
• Gaetan Bisson (PhD since July 2011); supervised together with Pierrick Gaudry, Nancy)
• Michael Naehrig (PhD since May 2009)
• Ruben Niederhagen
• Christiane Peters (PhD since May 2011)
• Reza Rezaeian Farashahi (PhD since October 2008)
• Peter Schwabe (PhD since January 2011)

• PACE Pairing Acceleration for Cryptography using Elliptic Curves (NWO)
• ECRYPT II Network of Excellence in Cryptology (FP7)
• CACE Computer Aided Cryptography Engineering (FP7)
• VELUX Visiting Professor
• Digital Signatures (FTP, together with Lars Knudsen)
• ECRYPT Network of Excellence in Cryptology (FP6)
• STORK Strategic Roadmap for Crypto (FP5)
• AREHCC - Advanced Research on Elliptic and Hyperelliptic Curve Cryptographyi(FP5)

• 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 F_q by Boolean Functions and by Polynomials in Several Variables Modulo a Divisor of q-1, (with A. Winterhof), Discrete Applied Mathematics 128/1 (2003), 193 - 206.
• 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 ,
  invited talk 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)
  
  
• 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,
  invited talk at 2003 International Symposium on Next Generation Cryptography and Related Mathematics, Japan
  Slides
  
  
• Efficient arithmetic on (hyper-)elliptic curves over finite fields,
  invited 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,
  invited talk at ECC 2003
  Slides
  
  
• Cryptographic Applications of Trace Zero Varieties,
  invited 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,
  invited talk at WARTACRYPT '04
  Slides
  
  
• Pseudorandom Number Generators Based on Elliptic Curves,
  invited talk at Number Theoretic Algorithms and Related Topics
  Slides
  
  
• Hyperelliptic curves in cryptography,
  talk at the "Seminar on zeta functions'' at the Technical University Tokyo
  Slides
  
  
• Efficient arithmetic on (hyper-)elliptic curves over finite fields,
  talk at the ``COSIC Seminar'', KU Leuven
  Slides
  
  
• Curve Cryptography - suitable primitives for embedded device ,
  invited talk at Cryptologie et Algorithmique En Normandie (CAEN'05)
  Slides
  
  
• Pairings on ordinary hyperelliptic curves,
  invited talk at Pairings in Cryptography
  Slides
  
  
• Arithmetic on Binary Genus $2$ Curves Suitable for Small Devices,
  talk at Workshop on RFID and Lightweight Crypto
  Slides
  
  
• Arithmetic of hyperelliptic curves over finite fields,
  talk at Discrete Mathematics Seminar, University of Calgary
  Slides
  
  
• Efficient computation of pairings on non-supersingular hyperelliptic curves,
  talk at Number Theory Inspired by Cryptography, Banff
  Slides
  
  
• Efficient computation of pairings on non-supersingular hyperelliptic curves,
  invited talk at Algebraic Methods in Cryptography, Bochum
  Slides
  
  
• Cryptographic Applications of Trace Zero Varieties,
  seminar talk at Cryptology Research Group at the Indian Statistical Institute, Kolkata
  Slides
  
  
• Pairings in Cryptography ,
  tutorial at ASIACRYPT 2005
  Slides
  
  
• Distribution of Some Sequences of Points on Elliptic Curves ,
  invited talk at AMS Sectional Meeting Program by Special Session, Special Session on Number Theory
  Slides
  
  
• Arithmetic of hyperelliptic curves over finite fields , part of lecture at
  Summer School on "Computational Number Theory and Applications to Cryptography"
  Slides
  
  
• Pairing Based Cryptography , part of lecture at
  Summer School on "Computational Number Theory and Applications to Cryptography"
  Slides
  
  
• Analysis of pseudo-random number generators based on elliptic curves,
  talk at 31st Australasian Conference on Combinatorial Mathematics & Combinatorial Computing(ACCMCC)
  Slides
  
  
• Fast bilinear maps from the Tate-Lichtenbaum pairing on hyperelliptic curves,
  talk at ANTS VII, Berlin
  Slides
  
  
• Efficient arithmetic on (hyper-)elliptic curves over finite fields,
  invited talk at 2006 Workshop on Cryptography and Related Mathematics
  Slides
  
  
• Hyperelliptic Curves,
  talk at Information Security Summer School (ISSS) 2006. Taiwan.
  Slides
  
  
• Efficient arithmetic on hyperelliptic curves over finite fields,
  talk at Information Security Summer School (ISSS) 2006. Taiwan.
  Slides
  
  
• Pairing Based Cryptography,
  talk at Information Security Summer School (ISSS) 2006. Taiwan.
  Slides
  
  
• Public Key Cryptography - Performance Comparison and Benchmarking ,
  keynote at Simpósio Brasileiro em Segurança da Informação e de Sistemas Computacionais (SBSeg)
  Slides
  
  
• Index Calculus in Finite Fields & Hyperelliptic Curves ,
  tutorial at WCAP 2006 - III Workshop on Cryptographic Algorithms and Protocols
  Slides
  
  
• Efficient arithmetic on hyperelliptic curves over finite fields & Pairings,
  tutorial at WCAP 2006 - III Workshop on Cryptographic Algorithms and Protocols
  Slides
  
  
• Elliptic vs. hyperelliptic, part 2,
  invited talk at ECC 2006
  Slides and Slides in ps.gz
  Part 1 of the fight was excecuted by Daniel J. Bernstein, his slides can be found here.
  
  
• Open Problems in Pairings,
  invited talk at Number Theory and Cryptography - Open Problems
  Slides
  
  
• Tanja Lange,
  on the occasion of presentating the new employees of the faculty for mathematics and computer science of the Technische Universiteit Eindhoven
  Slides (pdf)
  
  
• Cryptographic applications of curves over finite fields,
  invited talk at General Mathematical Colloquium Utrecht
  Slides
  
  
• Unified addition formulae for elliptic curves,
  invited talk at AMS Special Session on Mathematical Aspects of Cryptography, 2007 Spring AMS Eastern Section Meeting
  Slides
  
  
• Elliptic vs. hyperelliptic, part 2,
  talk at EIDMA Seminar Combinatorial Theory
  Slides
  
  
• Mathematical Background of Pairings,
  talk at ECRYPT PhD Summer School on Emerging Topics in Cryptographic Design and Cryptanalysis
  Slides
  
  
• Fast scalar multiplication on elliptic curves,
  invited talk at Conference on Algorithmic Number Theory
  Slides
  
  
• Elliptic vs. hyperelliptic, part 3 - Elliptic Strikes Back,
  talk at Eurocrypt 07 Rump Session
  Slides
  
  
• Side-channel attacks and countermeasures for curve based cryptography,
  invited talk at Quo vadis cryptology ? - Threat of Side-Channel Attacks
  Slides in ps
  Slides in pdf
  
  
• Fast scalar multiplication on elliptic curves,
  talk at 8th International Conference on Finite Fields and Applications
  Slides
  
  
• Elliptic vs. Hyperelliptic, part 3: Elliptic strikes back,
  invited presentation at 11th Workshop on Elliptic Curve Cryptography 2007
  Slides for my half
  Slides for Dan Bernstein's half
  
  
• The EFD thing,
  presentation at the rump session of CHES 2007 given jointly with Dan Bernstein
  Slides
  
  
• Edwards Curves for Cyptography,
  presentation at EIDMA/DIAMANT Cryptography Working Group
  Slides
  
  
• Edwards coordinates for elliptic curves, part 1,
  invited presentation at Explicit Methods in Number Theory In honour of Henri Cohen
  Slides
  Part 2 was given by Dan Bernstein
  Dan's slides
  
  
• Edwards Coordinates for Elliptic Curves, part 1 ,
  invited presentation at SAGE Days 6: Cryptology, Number theory, and Arithmetic Geometry
  Slides
  Part 2 was given by Dan Bernstein
  Dan's slides
  
  
• Edwards Curves for Cryptography,
  invited key-note presentation at Kolloquium über Kombinatorik
  Slides
  
  
• Faster Addition and Doubling on Elliptic Curves,
  joint presentation with Dan Bernstein at ASIACRYPT 2007
  Slides
  
  
• Edwards Coordinates,
  invited key-note presentation at Applied Algebra, Algebraic Algorithms, and Error Correcting Codes (AAECC-17)
  Slides
  
  
• The power of mathematics to protect data and to break data protection,
  presentation at Research day at TU/e
  Slides
  
  
• Revisiting pairing based group key exchange,
  presentation at Financial Cryptography and Data Security 2008
  Slides
  
  
• Binary Edwards Curves,
  presentation at the Eurocrypt 2008 Rump Session
  Slides
  
  
• Faster arithmetic on elliptic curves -- blessing to ECC, harm to RSA,
  presentation at EIPSI Grand Opening
  Slides
  
  
• Binary Edwards Curves,
  invited presentation at Seminario Matematico, Universidad Autonoma Madrid
  Slides
  
  
• Scalar Multiplication and Weierstrass Curves,
  presentation at 3rd ECRYPT PhD SUMMER SCHOOL Advanced Topics in Cryptography
  Slides
  
  
• Shapes of Elliptic Curves,
  rump-session presentation at ANTS 2008
  Slides
  See also the zoo pictures.
  
  
• Twisted Edwards Curves,
  talk given by Daniel J. Bernstein on our joint paper at Africacrypt 2008
  Slides
  
  
• Binary Edwards Curves,
  invited presentation at Séminaire de Cryptographie de Rennes
  Slides
  
  
• Binary Edwards Curves,
  presentation at CHES 2008
  Slides
  
  
• ECM on Graphics Cards,
  presentation at CADO workshop on integer factorization
  Slides
  
  
• Post-Quantum Cryptography,
  invited presentation at INDOCRYPT 2008
  Slides in ps
  Slides in pdf
  
  
• Elliptic Curve Cryptography,
  invited presentation at Malaviya National Institute of Technology, Jaipur, India (Department of Computer Engineering)
  Slides
  
  
• Models of Elliptic Curves,
  joint invited presentation with Dan Bernstein at Curves, Coding Theory, And Cryptography, ESF Exploratory Workshop - PESC
  Slides
  
  
• Pairings on Edwards Curves,
  invited presentation at Arithmétique, géométrie, cryptographie et théorie des codes
  Slides
  Preprint with more details
  
  
• Pairings on Edwards curves,
  invited presentation at Fields Cryptography Retrospective Meeting
  Slides
  
  
• Pairings on Edwards Curves,
  presentation at Dagstuhl Seminar Algorithms and Number Theory
  Slides
  
  
• Post-Quantum Cryptography ,
  presentation at Dagstuhl Seminar 09311Classical and Quantum Information Assurance Foundations and Practice
  Slides
  
  
• Efficient Implementation of Pairings,
  invited key note presentation at Pairing 2009
  Slides
  
  
• Applied cryptanalysis -or - how to win an iPhone,
  rump session presentation at ECC
  Slides
  
  
• ECM using Edwards curves,
  invited presentation at Workshop on Factoring Large Integers
  Slides
  
  
• ECM using Edwards curves,
  invited presentation at Workshop on Discovery and Experimentation in Number Theory held at Fields Institute, Toronto and Simon Fraser University, Burnaby.
  Slides
  See also here for audio recordings.
  
  
• What is a use case for quantum key exchange? Part I,
  invited presentation at Workshop on quantum information
  Slides
  PartII was given by Daniel J. Bernstein, see his talks page.
  
  
• Coppersmith's factorization factory,
  invited presentation at General Colloquium Leiden
  Slides
  
  
• Post-Quantum Cryptography,
  invited presentation at ISI Seminar at QUT Brisbane
  Slides
  
  
• Breaking ECC2K-130,
  presentation at Early Symmetric Crypto (ESC) seminar
  Slides
  
  
• Small high-security public-key encryption and signatures,
  invited presentation at The First Taiwanese Workshop on Security and System-on-Chip
  Slides
  
  
• ECC minicourse,
  talk given jointly with Daniel J. Bernstein in a minicourse following Africacrypt 2010.
  Slides
  
  
• Starsh on strike,
  talk given jointly with Daniel J. Bernstein at Latincrypt.
  Slides
  
  
• Why CHES is better than CRYPTO,
  talk given jointly with Daniel J. Bernstein that the CHES 2010 Rump Session.
  Slides
  Movie
  
  
• Attacking Elliptic Curve Challenges,
  presentation at European Cryptography Day
  Slides
  
  
• Breaking ECC2K-130,
  invited presentation at Workshop on Elliptic Curves and Computation
  Slides
  
  
• Elliptic Curve Cryptography,
  key note presentation at 81. Arbeitstagung Allgemeine Algebra
  Slides
  
  
• Code-based cryptography,
  invited presentation at Workshop on: Solving polynomial equations
  Slides
  
  
• On the correct use of the negation map in the Pollard rho method ,
  talk given jointly with Daniel J. Bernstein at PKC 2011
  Slides
  
  
• Minicourse on the ECDLP,
  given jointly with Daniel J. Bernstein at CSIT (Centre for Strategic Infocomm Technologies), Singapore
  day 1
  my part of day 2
  my part of day 3
  my part of day 4
  
  
• Breaking ECC2K-130,
  key note presentation at CrossFyre
  Slides
  
  
• Syndrome-based hash functions,
  invited presentation at International Workshop on Coding & Cryptology (IWCC)
  Slides
  
  
• Code-based cryptography,
  key note presentation at The 10th International Conference on Finite Fields and their Applications
  Slides
  
  
• Code-based cryptography,
  invited presentation at Aspects of Coding Theory
  Slides
  
  
• Advances in Elliptic-Curve Cryptography,
  invited presentation at International Conference on Coding and Cryptography
  Slides
  
  
• State-of-the-art branchless techniques for elliptic curve scalar multiplicationy,
  talk at Dagstuhl seminar on Quantum Cryptanalysis
  blackboard snapshots
  
  
• Advances in Elliptic-Curve Cryptography,
  plenary talk at SIAM Conference on Applied Algebraic Geometry
  Slides
  
  
• Advances in Elliptic-Curve Cryptography,
  talk at the General Mathematics Colloquium
  Slides
  
  
• Code-based cryptography,
  invited talk at the Spanish Cryptography Days
  Slides
  
  
• Elliptic curves for applications,
  tutorial at Indocrypt 2011
  Slides
  
  
• A battle of bits: building confidence in cryptography,
  talk given jointly with Daniel J. Bernstein at Mathematical and Statistical Aspects of Cryptography
  Slides
  
  

• Algebra 2 (Fall 2011)
  
• Kerckhoff Master Course: Cryptography I (Fall 2011)
  
• Coding Theory and Cryptology I (Fall 2011)
  
• Algebra 2 (Fall 2010)
  
• Kerckhoff Master Course: Cryptography I (Fall 2010)
  
• Master Math Course: Number Theory and Cryptography in Utrecht (Fall 2010)
  
• Master Math Course: Algebraic Geometry in Cryptology in Utrecht (Spring 2010)
  
• Kerckhoff Master Course: Cryptography I
  
• Master Math Course: Number Theory and Cryptography in Utrecht (Fall 2009)
  
• Minicours on Edwards curves and Factorization; material
• Master Math Course: Number Theory and Cryptography in Utrecht (Fall 2008)
  
• 3rd ECRYPT PhD SUMMER SCHOOL "Advanced Topics in Cryptography"
• Minicours on Edwards curves; material
• Tutorial on Elliptic and Hyperelliptic Curve Cryptography 2007
• ECRYPT PhD SUMMER SCHOOL "Emerging Topics in Cryptographic Design and Cryptanalysis" Tutorial on Mathematical Background of Pairings
• Summer School on Elliptic and Hyperelliptic Curve Cryptography
• WCAP 2006 - III Workshop on Cryptographic Algorithms and Protocols several talks (see above for slides)
• Information Security Summer School (ISSS) 2006. Taiwan several talks (see above for slides)
• Summer School on "Computational Number Theory and Applications to Cryptography" several talks (see above for slides)
• Advanced Cryptography at DTU
  
• Tutorial on Pairings at ASIACRYPT 2005 (see above for slides)
• Applied Cryptography at DTU (02232) together with Christian Damsgaard Jensen
• FICS-Summer School on "Elliptic Curves in Cryptography"
• Oberwolfach Seminar: Arithmetic Geometry and Public Key Cryptography
• ECRYPT Summer School on "Elliptic Curves in Cryptography"
  
  
  
• Older courses are linked from my old homepage in Bochum.
• The pages of the Mathekids in Braunschweig and Bochum are unfortunately no longer available.

Hyperelliptic Curves allowing fast Arithmetic

My PGP key

e-mail tanja@hyperelliptic.org