KE ⇒ Multi-party key exchange

KE implies Multi-party key exchange.

Statement

Migrated verbatim from key-exchange § Multi-party key exchange:

Generalizes two-party KE to parties. Requires additional rounds or structure (e.g., Burmester-Desmedt, pairing-based constructions).

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:

  • Vague: ‘Requires additional rounds or structure’ asserts a cost, not a reduction.
  • Burmester-Desmedt and ‘pairing-based constructions’ (Joux) are named in prose with no reference pages and no citations.