Secret-Key PIR (SK-PIR) ⇒ DEPIR

Secret-Key PIR (SK-PIR) implies DEPIR.

Statement

Migrated verbatim from CIMR25 - Secret-Key PIR from Random Linear Codes § Notes:

  • Note that this will build very mildly doubly efficient PIR the way that BIPW17 build SK-DEPIR

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:

  • ‘very mildly doubly efficient PIR’ is not a defined notion anywhere in content/; the qualifier makes the conclusion node untypable.
  • The claim is the wiki editor’s inference by analogy (‘the way that BIPW17 build SK-DEPIR’), not a theorem asserted by CIMR25 or BIPW17. It should not enter the graph as a literature reduction.
  • The BIPW17 wikilink resolves correctly, but no theorem or section anchor is given.
  • Not in the existing inventory in any form.