Device and method for cryptoprocessor

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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07493356

ABSTRACT:
A device for converting a term comprising a product of a first operand and a second operand into a representation having an integer quotient regarding a modulus and a remainder, the integer quotient being defined by T/N, T being the term and N being the modulus, and the remainder being defined by T mod N, N being the modulus. The device modularly reduces the term using the modulus on the one hand and modularly reduces the term using an auxiliary modulus, which is greater than the modulus, on the other hand to obtain the remainder on the one hand and the auxiliary remainder on the other hand. Both the remainder and the auxiliary remainder are combined to obtain the integer quotient. The inventive device makes it possible to calculate even the integer quotient, that is the result of the divide (DIV) operation, by performing a command for a modular multiplication existing on conventional cryptoprocessors two times.

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Paillier, P., “Low-Cost Double-Size Modular Exponentiation or How to Stretch Your Cryptoprocessor,” Public Key Cryptography: Second International Workshop on Practice and Theory in Public Key Cryptography, PKC'99, Kamakura, Japan, Mar. 1999, vol. 1560, pp. 223-234, Springer-Verlag Berlin Heidelberg.

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