MIMS Technical Report No) Proceedings of Symposia in Pure Mathematics Discrete Geometric Analysis Toshikazu Sunada

Source URL: www.mims.meiji.ac.jp

• Graph theory
• Harmonic functions
• Fourier analysis
• Laplace operator
• Multivariable calculus
• Covering graph
• Graph
• Logarithm
• Discrete Laplace operator
• Differential forms on a Riemann surface

Public Key Cryptography Using Discrete Logarithms in Finite Fields: Algorithms, Efficient Implementation and Attacks L. Maurits)

Source URL: www.luke.maurits.id.au

• Finite fields
• Group theory
• Logarithms
• Public-key cryptography
• Computer algebra
• Discrete logarithm
• CantorZassenhaus algorithm
• Index calculus algorithm
• Baby-step giant-step
• Exponentiation
• DiffieHellman key exchange
• Algorithm

Isogenies and the Discrete Logarithm Problem in Genus Three Benjamin Smith Royal Holloway, University of London September 6, 2007

Source URL: mathsci.ucd.ie

• Geometry
• Abstract algebra
• Algebra
• Algebraic curves
• Hyperelliptic curve
• Elliptic curve
• Projective variety
• Hyperelliptic curve cryptography
• Imaginary hyperelliptic curve

Discrete Logarithm with Auxiliary Inputs (Special Semester Workshop 4) Jung Hee Cheon (partly joint work with Taechan Kim and Yongsu Song) Department of Mathematical Sciences and ISaC-RIM Seoul National University

Source URL: www.ricam.oeaw.ac.at

On the discrete logarithm problem in finite fields Pierrick Gaudry CNRS, Université de Lorraine, Inria Nancy, France joint work with Razvan Barbulescu, Antoine Joux, Emmanuel Thomé

Source URL: www.ricam.oeaw.ac.at

Isogenies and the Discrete Logarithm Problem in Genus Three Benjamin Smith Royal Holloway, University of London September 6, 2007

Source URL: mathsci.ucd.ie

Practical Key Recovery for Discrete-Logarithm Based Authentication Schemes from Random Nonce Bits Damien Vergnaud École normale supérieure

Source URL: www.cryptoexperts.com

E-th roots and static Diffie-Hellman using index calculus Antoine Joux1 Joint work with Reynald Lercier2 , David Naccache3 , Emmanuel Thome´ 4 Elliptic Curve Cryptography 2008

Source URL: www.hyperelliptic.org

• Cryptography
• Abstract algebra
• Algebra
• Finite fields
• Public-key cryptography
• Computational hardness assumptions
• Group theory
• DiffieHellman key exchange
• Index calculus algorithm
• RSA
• Discrete logarithm
• Elliptic curve cryptography

Integer Factorization and Computing Discrete Logarithms in Maple Aaron Bradford∗, Michael Monagan∗, Colin Percival∗ , , Department of Mathematics, Simon Fr

Source URL: www.daemonology.net

• Cryptography
• Integer factorization algorithms
• Mathematics
• Abstract algebra
• Quadratic sieve
• General number field sieve
• Prime number
• Safe prime
• Discrete logarithm
• RSA
• Sieve of Atkin
• Quadratic residue

Discrete logarithms Small characteristic Individual Logarithms a.k.a. Descent Advances in Discrete Logarithm Computations Antoine Joux

Source URL: attackschool.di.uminho.pt