Improvements to Almost Optimum Secret Sharing with Cheating Detection

Abstract

Secret sharing allows a secret s to be distributed amongst n participants in the form of shares. An authorised set of these participants is then able to reconstruct s at a latter date by pooling their shares. Secret sharing with cheating detection capability (SSCD) allows participants to detect the submission of faulty or modified shares. Within this field researchers consider two different models of security, the OKS model and the CDV model.