COM + SS ⇒ Verifiable secret sharing (VSS)

COM together with SS implies Verifiable secret sharing (VSS).

Statement

Migrated verbatim from secret-sharing:

A secret sharing scheme augmented with commitments so that parties can verify their shares are consistent, even against a malicious dealer. Used in MPC and distributed key generation.

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:

  • Construction stated as ‘augmented with commitments’ — conjunctive hypotheses ({secret sharing, commitment scheme}) but no citation and no wikilink to [[commitment-scheme]].
  • Second claim in the same sentence (‘Used in MPC and distributed key generation’) is an application, recorded separately below in spirit; the MPC half is cited only later, on line 64.
  • ‘verifiable-secret-sharing’ has no page of its own.