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.