Ring-LPN ⇒ Pseudorandom correlation generators (PCG)
Ring-LPN implies Pseudorandom correlation generators (PCG).
Statement
Migrated verbatim from learning-parity-with-noise § Ring-LPN:
Ring-LPN underlies practical authentication protocols (e.g., Lapin) and efficient pseudorandom correlation generator 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:
- pseudorandom-correlation-generator has no wiki page; identifier invented.
- Uncited and not marked folklore.
- ‘efficient … constructions’ is an efficiency claim, not an existence reduction.
- Two conclusions bundled (authentication protocols such as Lapin, and PCG constructions).
- No citation (Lapin / HKLPT12 missing).
- underlies is weaker than a reduction claim.
- Lapin is a two-message authentication protocol; message-authentication-code is only an approximate identifier and pseudorandom-correlation-generator has no page.