HE ⇒ MPC with preprocessing (SPDZ, etc.)

HE implies MPC with preprocessing (SPDZ, etc.).

Statement

Migrated verbatim from secure-multi-party-computation:

A correlated randomness or “preprocessing” phase generates reusable correlated randomness offline; the online phase is highly efficient. Preprocessing can be instantiated from OT extension or homomorphic encryption.

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:

• Second (disjunctive) branch of the same sentence.
• ‘homomorphic encryption’ is written as plain prose here even though content/Primitives/homomorphic-encryption.md exists — missing wikilink.
• No citation.