´ n y de Estudios Avanzados Centro de Investigacio ´cnico Nacional del Instituto Polite Departamento de Ingenier´ıa El´ ectrica

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Metaheuristics for Multiobjective Optimization Carlos A. Coello Coello CINVESTAV-IPN Depto. de Computaci´ on

Source URL: www.wcci2016.org

ESCUELA DE VERANO EN MATEMÁTICAS Departamento de Matemáticas CINVESTAV-IPN JULIO 4-8, 2016 http://www.math.cinvestav.mx/escuela2016

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Lambda Coordinates for Binary Elliptic Curves Thomaz Oliveira 1 Julio L´ opez 2 Diego F. Aranha Francisco Rodr´ıguez-Henr´ıquez 1 1 2

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References 1. S. Adam, J. Ioannidis, and A. D. Rubin. Using the Fluhrer, Mantin, and Shamir Attack to Break WEP. Technical report, ATT Labs TD-4ZCPZZ, Available at: http://www.cs.rice.edu/~astubble/wep., August.

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Infancia y primeros trabajos La “Grundlagenkrise der Mathematik” Criptoan´ alisis de Enigma A manera de conclusiones

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´ n y de Estudios Centro de Investigacio ´cnico Nacional Avanzados del Instituto Polite Unidad Zacatenco

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Computing discrete logarithms in fields of small characteristic Francisco Rodr´ıguez-Henr´ıquez CINVESTAV-IPN Joint work with:

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• Abstract algebra
• Algebra
• Cryptography
• Finite fields
• Group theory
• Logarithms
• Computational hardness assumptions
• Binary operations
• Discrete logarithm
• Elliptic curve cryptography
• Prime number
• Elliptic curve

The S˜ao Paulo Advanced School of Cryptography — SP-ASCryptoHardware Implementation of Pairings Francisco Rodr´ıguez-Henr´ıquez CINVESTAV-IPN, Mexico City, Mexico

Source URL: delta.cs.cinvestav.mx

• Cryptography
• Algebra
• Elliptic curve cryptography
• Mathematics
• Pairing-based cryptography
• Elliptic curves
• Elliptic curve
• Tate pairing
• Supersingular elliptic curve
• Pairing
• Curve

Introduction A Linear Algebra Approach for Computing the Square Root Applications of Square Root in Cryptography Conclusion Low Complexity Bit-Parallel Square Root

Source URL: delta.cs.cinvestav.mx

• Algebra
• Mathematics
• Abstract algebra
• Finite fields
• Binary operations
• Root-finding algorithms
• Field theory
• Square root
• Exponentiation
• XTR
• Methods of computing square roots
• Pi