Noise Level ⇒ PKE

Noise Level implies PKE.

Statement

Migrated verbatim from learning-parity-with-noise § Known results:

• Mid-noise (and hence low-noise) LPN implies PKE — Ale03

Notes

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:

• (and hence low-noise) silently invokes the regime ordering from lines 48-51 — arguably two relations in one bullet.
• The noise-regime qualifier is not part of the hypothesis identifier.
• Security notion of the resulting PKE is not stated.