Calculation device, calculation method, and program

• Main Authors: Kobayashi Tetsutaro, Yamamoto Go
• Format: Patent
• Language: English
• Published: 12.12.2017
• Subjects: ADVERTISING; CALCULATING; CODING OR CIPHERING APPARATUS FOR CRYPTOGRAPHIC OR OTHERPURPOSES INVOLVING THE NEED FOR SECRECY; COMPUTING; COUNTING; CRYPTOGRAPHY; DISPLAY; EDUCATION; ELECTRIC COMMUNICATION TECHNIQUE; ELECTRIC DIGITAL DATA PROCESSING; ELECTRICITY; PHYSICS; SEALS; TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHICCOMMUNICATION

A first calculation unit is capable of calculating f(x)bx1 and sets a calculation result of f(x)bx1 to u, and a second calculation unit is capable of calculating f(x)ax2, and sets a calculation result of f(x)ax2 to v. A final calculation unit outputs (ub′va′)1/d for d=a′a+b′b when the calculation result u and the calculation result v satisfy ua=vb. Here, G and H are groups, f is a function for mapping an element x of the group H to the group G, X1 and X2 are random variables values of which are in the group G, a realization of the random variable X1 is x1, a realization of the random variable X2 is x2, and a, b, a′, and b′ are integers.