Zero-bit PRC ⇒ Trapdoor pseudorandom generators

Zero-bit PRC implies Trapdoor pseudorandom generators.

Statement

Migrated verbatim from pseudorandom-generator § Trapdoor pseudorandom generators:

Note that a zero-bit Pseudorandom Code can be viewed as a trapdoor pseudorandom generator with the additional property that its completeness is actually robust to noise.

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:

• ‘can be viewed as’ — a viewpoint claim, not a proved reduction; uncited.
• Hypothesis is the zero-bit variant of [[pseudorandom-error-correcting-code]], which has no slug of its own.