elliptic-curve-cryptography
3 posts tagged elliptic-curve-cryptography.
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How Elliptic Curves and Diffie-Hellman Break in Real Life: The Discrete Log Never Fell
No one has solved the discrete log on a strong curve or a 2048-bit group -- yet PS3, Android wallets, TPMs, CurveBall, and Logjam all fell. Here is exactly how.
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How Q-Day Breaks Everything: Shor's Algorithm and the Simultaneous Fall of RSA, Diffie-Hellman, and ECC
RSA, Diffie-Hellman, DSA, and elliptic curves share one abelian period. A single quantum computer running Shor's algorithm reads it and breaks all four at once.
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The Curve Was Hard; The Gap Was Soft: A Field Guide to Using Elliptic Curves Safely
Textbook ECC is hard; deployed ECC broke anyway. A field guide to P-256, Curve25519, Ristretto255, invalid-curve attacks, cofactors, and constant-time.