Ran into Alex Halderman recently. He casually said "we found a weakness in Diffie-Hellman." My jaw dropped. GO READ. https://freedom-to-tinker.com/blog/haldermanheninger/how-is-nsa-breaking-so-much-crypto/ …
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Crypto math isn't "this isn't breakable by computation" It's "this is VEEERY HARD quickly compute." Doesn't rule out (unknown) shortcuts.
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So basically a very widely used crypto math algorithm that everyone until recently said was the one to use has a .. shortcut to break it.
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