diffie-hellman
4 posts tagged diffie-hellman.
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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 Log Was Never the Weak Part: How Discrete-Log Cryptography Actually Breaks
For a well-chosen group the discrete log is optimally hard. Every faster break exploits the group's structure, not the log -- only Shor survives a clean one.
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Nobody Broke the Discrete Log: A Field Guide to Diffie-Hellman and Forward Secrecy
The discrete log held for fifty years; Logjam, small-subgroup, and invalid-curve attacks broke the deployment instead. A field guide to FFDHE, ECDH, and X25519.