Investigation and Survey of Secret Sharing in Verifiable Distributed Systems

The two most recent PVSS (publicly verifiable secret sharing) schemes are illustrated to be vulnerable to a simple attack. Moreover, one of them has to deteriorate its efficiency greatly to meet practical security requirement. The attack makes the share holders to receive incorrect shares, which will lead secret reconstruction to mistake. The efficiency deterioration is so serious that no practical application can tolerate it. So the two most recent PVSS schemes actually cannot work reliably and efficiently as they claim.