Hyperelliptic Curves Peter Birkner Technische Universiteit Eindhoven DIAMANT Summer School on Elliptic and Hyperelliptic Curve Cryptography

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This is the Table of Contents of the Handbook of Elliptic and Hyperelliptic Curve Cryptography, Henri Cohen, Christophe Doche, and Gerhard Frey, Editors, CRC PressCRC Press has granted the following specific permi

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20 years of isogeny-based cryptography Luca De Feo feat. Jean Kieffer, Benjamin Smith Université Paris Saclay, UVSQ & Inria November 14, 2017, Elliptic Curve Cryptography, Nijmegen

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Published in Designs, Codes and Cryptography 14(1):53–56, Reducing the elliptic curve cryptosystem of Meyer-M¨ uller to the cryptosystem of Rabin-Williams

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S TANDARDS FOR E FFICIENT C RYPTOGRAPHY SEC 1: Elliptic Curve Cryptography Certicom Research Contact:

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An Introduction to Elliptic Curve Cryptography Tanner Prynn Elliptic Curves The Discrete Logarithm Problem

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International Journal of Network Security, Vol.18, No.2, PP, MarA Lightweight RFID Security Protocol Based on Elliptic Curve Cryptography

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Fast, twist-secure elliptic curve cryptography from Q-curves Benjamin Smith Team GRACE INRIA Saclay–ˆIle-de-France ´

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1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance

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• Mathematics
• Mathematical analysis
• Number theory
• Conjectures
• Analytic number theory
• Modular forms
• Riemann surfaces
• Millennium Prize Problems
• Riemann hypothesis
• Elliptic curve
• Langlands program
• L-function

EMBARGOED FOR RELEASE March 31, 12:01 a.m. ET Bruce Shriver ACMMarie Gentile

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• Cryptography
• Public-key cryptography
• Identity-based cryptography
• Elliptic curve cryptography
• Dan Boneh
• ID-based encryption
• Association for Computing Machinery
• Pairing-based cryptography
• Boneh
• Infosys
• ID-based cryptography
• Computer science