Linear Secret Sharing Scheme with Reduced Number of Polynomials

Table 1

Comparison of required properties for the schemes.

Scheme	Property
	SP1	SP2	SP3	SP4	CO
Shamir’s scheme	√	√	√	X	1
Liu et al.’s scheme	√	√	√	√	2
PBLS	√	√	√	√	1

√: the property exists; X: the property does not exist.