Strong RSA ⇒ RSA

Strong RSA implies RSA.

Statement

Migrated verbatim from factoring § Strong RSA assumption:

The strong RSA assumption requires that it is hard to compute any $e$-th root of a random group element for an adversarially chosen $e>1$, not just a fixed $e$. This is a stronger assumption than standard RSA.

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:

• Only stronger assumption than standard RSA is stated; the implication (strong RSA hardness implies RSA hardness) is left implicit.
• No citation (BP97 / FO97 missing).
• strong-rsa-assumption has no page of its own.