IBE ⇒ PKE

IBE implies PKE.

Statement

Migrated verbatim from identity-based-encryption § Other results:

• IBE implies PKE: set the public key to $\mathsf{pp}$ and the per-user public key to $id$; the KGC plays the role of a CA but without issuing certificates

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:

• No citation and no folklore label.
• SUSPECT: the sketch describes the KGC-as-CA analogy rather than the actual reduction (the standard IBE ⇒ PKE reduction sets pk = pp and sk = Extract(msk, id) for a fixed id). As written, the ‘per-user public key is id’ construction does not obviously yield a PKE key pair. Report only.