DLIN ⇒ IPPE

DLIN implies IPPE.

Statement

Migrated verbatim from inner-product-predicate-encryption § Other results:

  • KSW08 introduced IPPE and showed that inner products encode disjunctions, polynomial equations, and CNF/DNF formulas; the scheme is proved attribute-hiding under the decisional linear assumption — KSW08

Notes

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:

  • SUSPECT: KSW08 proves security in composite-order bilinear groups under two new (non-standard) subgroup-decision-flavoured assumptions, not under ‘the decisional linear assumption’. Report only; do not fix.
  • ‘the decisional linear assumption’ is bare text with no wikilink and no page exists for it.
  • Bullet packs a construction claim, an expressiveness claim, and a security claim together; only one can be typed as a reduction.