Invention Grant
US09542155B2 Proxy calculation system, method, request device and program thereof 有权
代理计算系统,方法,请求装置及程序

Proxy calculation system, method, request device and program thereof
Abstract:
Where G and H are cyclic groups, M is an integer of two or more, i=1, . . . , M, f is a homomorphic function of mapping a member xi of group H to group G, Ri and R0 are random variables with a value in group G, ri is a realized value of the random variable Ri,, r0 is a realized value of the random variable R0, and ai is a random number of an integer of 0 or more, a random number generation unit 11 generates random numbers a1, a2, . . . , aM. A sampler 21 is capable of calculating f(x1)r1, f(x2)r2, . . . , f(xM)rM to obtain a calculation result thereof as z1, z2, . . . , zM, respectively. A power calculation unit 12 calculates (z1)a1, (z2)a2, . . . , (zM)aM. An extended randomizable sampler 22 is capable of calculating f(x1a1×x2a2× . . . ×xMaM)r0 to obtain a calculation result z0 thereof. A determination unit 16 determines whether or not (z1)a1×(z2)a2× . . . ×(zM)aM=z0.
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