- Elliptic Curve Cryptography (What it is, latest news, etc by Steven Galbraith)
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- The Mathematical Atlas 14H52: Elliptic Curves (24.07.00)
- EC FAQ (by George Barwood)
- Overview of elliptic curve cryptography (Araki, Miura, Satoh)
- Certicom Corporation
- Cryptomathic Elliptic Curves
- RSADSI ECC Page
- The Experts Comment on ECC (RSA.com webpage)
- Elliptic Curves and Elliptic Functions (Charles Daney)
- Elliptic Curves and Modular Functions (Charles Daney)
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Intro
- Elliptic Curve DSA (ECDSA): An Enhanced DSA (Don B. Johnson, Alfred J. Menezes)
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Standards
- FIPS 186-2 (Digital Signature Standard, 2000, incl ECDSA)
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Research papers
- Generic Groups, Collision Resistance, and ECDSA (Daniel R. L. Brown)
- PSEC: Provably Secure Elliptic Curve Encryption Scheme (Okamoto, Fujisaki, Morita, 1999)
- On the Unpredictability of Bits of the Elliptic Curve Diffie--Hellman Scheme (Dan Boneh, Igor Shparlinski, CRYPTO 2001)
- A Chosen Message Attack on Demytko's Elliptic Curve Cryptosystem (B. S. Kaliski, Jr., JoC 1997)
- The Improbability That an Elliptic Curve Has Subexponential Discrete Log Problem under the Menezes - Okamoto - Vanstone Algorithm (R. Balasubramanian, Neal Koblitz, JoC 1998)
- Elliptic Curve Discrete Logarithms and the Index Calculus (Silverman, Suzuki, 1999)
- [scholar]Cover and Decomposition Index Calculus on Elliptic Curves made practical. Application to a previously unreachable curve over Fp6 (Antoine Joux and Vanessa Vitse, Eurocrypt 2012)
20.05.2012
- [scholar]Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields (Jean-Charles Faugère, Ludovic Perret, Christophe Petit, and Guénaël Renault, Eurocrypt 2012) 20.05.2012
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Parallelized Pollard's rho method
- Faster Attacks on Elliptic Curve Cryptosystems (Michael Wiener and Robert Zuccherato)
- Improving the Parallelized Pollard Lambda Search on Binary Anomalous Curves (Gallant, Lambert, Vanstone)
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Weil Descent
- A Cryptographic Application of Weil Descent (Smart, Galbraith, 1999)
- Constructive and Destructive Facets of Weil Descent on Elliptic Curves (Gaudry, Hess, Smart, 2000)
- Extending the GHS Weil Descent Attack (S.D. Galbraith and F. Hess and N.P. Smart, eprint 2001/054)
- On Small Degree Extension Fields in Cryptology (Robert Granger, Bristol, PhD thesis, 2005)
- Elliptic Curves and Cryptography (Blake Seroussi Smart)
- Elliptic Curves and Their Applications to Cryptography: An Introduction (Andreas Enge)
- Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 (Cassels, J.W.S. and Flynn, V.)
- ECMNET (Paul Zimmermann)
- Elliptic Curves And Primality Proving (A. O. L. Atkin, F. Morain, 1993)
- High rank elliptic curve list (Alf van Poorten)
- Elliptic curves and formal groups (J. Lubin, J.-P. Serre and J. Tate, 1964)
- Elliptic Curve Discrete Logarithms: ECC2K-108 (Robert Harley etc)
- Elliptic Curves and Cryptology (Marc Joye)
- collection of links by Stifane Fermigier
- Links (Richard Pinch)
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