DDH ⇒ Non-interactive key exchange (NIKE)

DDH implies Non-interactive key exchange (NIKE).

Statement

Migrated verbatim from key-exchange:

A NIKE allows any two parties to derive the same shared key from each other’s public keys alone, with no interaction at all. Diffie-Hellman over a cyclic group is the canonical example: $k=g^{ab}$ given public keys $g^a$ and $g^b$.

Notes

source: folklore: the claim carried no citation on the page it was migrated from, and none was invented.

class: unstated: no citing page says which notion of reduction is meant. Recording a class the wiki does not state would add a claim.

Recorded during migration and not fixed — these are claims about the source text, not changes to it:

• The assumption is not named on this line - DH over a cyclic group is given as ‘the canonical example’ with no hardness assumption and no citation.
• No slug for NIKE.