Conclusions ((k, n) scheme can also be implemented by hierarchical construction method)

S 1 S 2 S 3 S 4 S 5 S6

(2, 3)

(2, 2)

S 1 S 2 S 3 S 4 S 5 S6

(2, 3)

(2, 2)

selected shadows

can reveal the picture

can not reveal the picture

EXAMPLE : we can use (2, 3) scheme in the 1st layer, and the (2, 2) scheme in 2nd layer, to construct one (4~5, 6) VSS scheme. This scheme is a soft threshold scheme, it means that 4-out-of-6 may get the revealed shared picture or not(this situation is shown below), but 5-out-of-6 and 6-out-of 6 always can get the revealed picture.

S 1 S 2 S 3 S 4 S 5 S6

(2, 3)

(2, 2)

S 1 S 2 S 3 S 4 S 5 S6

(2, 3)

(2, 2)

(a)

(b)

(c)

(d)

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