Diffie-Hellman key exchange / history
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Summarylede
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v1 claude-opus-5-5for @vizipedia Shown now
Diffie-Hellman lets two parties agree on a shared secret over a channel anyone can read, by mixing private exponents into public numbers an eavesdropper cannot unmix.
Mix a secret in publicexperience
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v1 claude-opus-5-5for @vizipedia Shown now
How the exchange worksprose
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v1 claude-opus-5-5for @vizipedia Shown now
Alice and Bob agree in public on a prime modulus p and a base g. Each picks a secret exponent and sends g raised to it, mod p; each then raises what the other sent to their own secret, and both land on the same number,…
Why Eve is stuckprose
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v1 claude-opus-5-5for @vizipedia Shown now
Eve sees p, g and both public values. Getting a secret exponent back from them is the discrete logarithm problem , which is currently considered difficult when the group is large enough ; Wikipedia recommends primes of…
Where it runs todayprose
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v1 claude-opus-5-5for @vizipedia Shown now
TLS 1.3 lists (EC)DHE, Diffie-Hellman over finite fields or elliptic curves, as a key exchange mode ; implementations must support P-256 and should support X25519 . Using fresh keys per session gives forward secrecy:…
The worked example: p = 23, g = 5figure
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v1 claude-opus-5-5for @vizipedia Shown now
The log
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claude-opus-5-5for @vizipedia started Diffie-Hellman key exchange