A Generic Algorithm for Small Weight Discrete Logarithms in Composite Groups Alexander May? and Ilya Ozerov?? Horst G¨ ortz Institute for IT-Security Ruhr-University Bochum, Germany

Source URL: www.cits.rub.de

• Abstract algebra
• Algebra
• Mathematics
• Group theory
• Discrete logarithm
• Index calculus algorithm
• PohligHellman algorithm
• Baby-step giant-step
• Limit of a function

SIAM J. DISCRETE MATH. Vol. 29, No. 2, pp. 835–853 c 2015 Society for Industrial and Applied Mathematics 

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• Graph theory
• Bipartite graphs
• Tree
• Chordal graph
• Cycle
• Graph coloring
• Geometric group theory
• Graph connectivity
• Spectral theory of ordinary differential equations
• Vertex separator

PDF Document

Source URL: www-cc.cs.uni-saarland.de

• Graph theory
• Mathematics
• Discrete mathematics
• NP-complete problems
• Matching
• Graph connectivity
• Geometric group theory
• Train track map
• Minimum-cost flow problem

On the applicability of one method of elliptic curve discrete logarithm problem over prime fields to the Russian standardized curves E.K. Alekseev, V.D. Nikolaev, S.V. Smyshlyaev © CryptoPro LLC

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• Algebra
• Mathematics
• Geometry
• Elliptic curve cryptography
• Finite fields
• Public-key cryptography
• Group theory
• Elliptic curve
• Curve

Toric Geometry An introduction to toric varieties with an outlook towards toric singularity theory Thesis project for the research track of the Master Mathematics Academic yearAuthor:

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• Algebra
• Algebraic geometry
• Mathematics
• Geometry
• Toric variety
• Resolution of singularities
• Convex cone
• Discrete geometry
• Duality
• Affine variety
• Group theory
• Semigroup

Revisiting discrete logarithms in medium/small characteristic Antoine Joux CryptoExperts Chaire de Cryptologie de la Fondation de l’UPMC — LIP6

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• Abstract algebra
• Algebra
• Group theory
• Mathematics
• Logarithms
• Computational hardness assumptions
• Finite fields
• Modular arithmetic
• Index calculus algorithm
• Discrete logarithm
• Baby-step giant-step
• Elliptic curve

Distributed Computing Prof. R. Wattenhofer BA/MA/SA/Group/Lab: Graph Games

Source URL: www.tik.ee.ethz.ch

• Mathematics
• Graph theory
• Graph
• Discrete mathematics
• Connectivity
• Gaming
• Graph coloring
• Shannon switching game

Coding and Cryptography Spring 2014 Tutorial Project #1 Due at the end of class. On Friday, we learned how to decode a linear code using ‘syndromes’. Make sure someone in your working group attended class on Friday,

Source URL: math.colorado.edu

• Coding theory
• Error detection and correction
• Discrete mathematics
• Mathematics
• Hamming
• Linear code
• Parity-check matrix
• Coset leader
• Noisy-channel coding theorem
• Hamming code
• Standard array

A Vélu-like formula for computing isogenies on Abelian Varieties David Lubicz1,2 , Damien Robert3 1 2 3

Source URL: www.normalesup.org

• Algebra
• Abstract algebra
• Mathematics
• Niels Henrik Abel
• Group theory
• Finite fields
• Abelian variety
• Abelian group
• Elliptic curve
• Discrete logarithm

Dimensions of discrete groups: from the Eilenberg-Ganea Conjecture to Brown’s question and back Nansen Petrosyan (Southampton) Nowadays, there are some very useful notions of a cohomological dimension of a group. Class

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