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METHOD FOR PROTECTING DATA AGAINST DIFFERNTIAL FAULT ANALYSIS INVOLVED IN RIVEST, SHAMIR, AND ADLEMAN CRYPTOGRAPHY USING THE CHINESE REMAINDER THEOREM
METHOD FOR PROTECTING DATA AGAINST DIFFERNTIAL FAULT ANALYSIS INVOLVED IN RIVEST, SHAMIR, AND ADLEMAN CRYPTOGRAPHY USING THE CHINESE REMAINDER THEOREM
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机译:利用中国剩余定理保护涉及到暴动,沙姆尔和阿德曼密码学的微分故障分析数据的方法
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摘要
Systems and methods for effectively protecting data against differential fault analysis involved in Rivest, Shamir, and Adleman (“RSA”) cryptography using the Chinese Remainder Theorem (“CRT”) are described herein. A CRT RSA component facilitates modular exponentiation of a received message, and a verification component reconstructs the received message. An exponentiation component performs a first modular exponentiation and a second modular exponentiation of the received message. A recombination component performs a recombination step utilizing CRT computation as a function of the first and second modular exponentiations. A modular exponentiation component performs first and second public exponent derivations as a function of a private exponent. The verification component can reconstructs the received message as a function of the first and second public exponent derivations. The verification component calculates the received message utilizing Chinese Remainder Theorem computation.
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