PKG can choose a

random integer s, master private key and calculates [P.

s1n}, select a

random integer number 0 r n, S3 is a mutation of S1, S3={ si | if i r, then si=s1 i, else si =random(s1 i)}.

Therefore, in answer to my student's question, it would appear that it is not possible to generate a

random integer.

To encrypt the message M= 101, Basem select a

random integer k = 247 and computes [gamma] = [124.

If the

random integer is smaller than the minimum selling price reported by the active player for the relevant prospect, the active player keeps the relevant prospect and the two members of the group obtain the payments specified by it.

With each iteration of the loop, a

random integer was read from the file in which they were stored earlier.

n] generated by making stepwise changes in the observed matrix, and i chosen as a

random integer between 1 and n.

Our new proposal has several advantages: it leads to faster and easier implementations and it produces both positive and negative

random integers for high-level language use.

In the first step, the sharing phase generates a

random integer matrix as the first shadow image [S.

GM selects a

random integer e such that gcd(e, [phi](n)) = 1 and computes d such that de - 1 mod [phi](n).

Then the time for generating a normal variable will be little more than the time for calling a

random integer subroutine, since the bulk of the cost of such fast routines is the overhead for saving and restoring registers.