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METHOD FOR DETERMINING, IN A WAY THAT IS PROTECTED AGAINST SPYING, THE MODULE INVERSE b OF A VALUE a WITH A MODULE n FOR A CRYPTOGRAPHIC APPLICATION
METHOD FOR DETERMINING, IN A WAY THAT IS PROTECTED AGAINST SPYING, THE MODULE INVERSE b OF A VALUE a WITH A MODULE n FOR A CRYPTOGRAPHIC APPLICATION
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机译：以防间谍的方式确定用于密码学应用的值a与模块n的模逆b的方法
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ABSTRACTMETHOD FOR DETERMINING, IN A WAY THAT IS PROTECTED AGAINST SPYING, THE MODULE INVERSE B OF A VALUE A WITH A MODULE N FOR A CRYPTOGRAPHIC APPLICATION The invention relates to methods for αn espionage-protected determination of the modular inverse b of a value a to the modulus n for a cryptographic application. According to said method, αn auxilliary value β and αn auxiliary modulus δ are determined at least in accordance with the value α , the modulus n and also at least one masking parameter r, αn auxiliary inverse β' is determined as the modular inverse of the auxiliary value β to the auxiliary modulus δ and the modular inverse b is determined at least in accordance with the auxiliary inverse β', the masking parameter(s) r and the auxiliary value β and/or the auxiliary modulus δ. The invention also relates to a corresponding computer program product and a portable data carrier. The invention provides a modular inversion method that is protected against espionage, which is suitable for security-critical applications, e.g. Cryptographic calculations in a portable data carrier.
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