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COUNTERMEASURE TO SAFE-ERROR FAULT INJECTION ATTACKS ON CRYPTOGRAPHIC EXPONENTIATION ALGORITHMS
COUNTERMEASURE TO SAFE-ERROR FAULT INJECTION ATTACKS ON CRYPTOGRAPHIC EXPONENTIATION ALGORITHMS
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机译:密码指数算法的安全错误故障注入攻击的对策
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摘要
There is disclosed a countermeasure using the properties of the Montgomery multiplication for securing cryptographic systems such as RSA and DSA against, in particular, safe-error injection attacks. In the proposed algorithm, the binary exponentiation b = a d mod n is iteratively calculated using the Montgomery multiplication when the current bit d i of the exponent d is equal to zero. In that case, the Montgomery multiplication of the actual result of the exponentiation calculation by R is realized. Thanks to this countermeasure, if there is any perturbation of the fault injection type introduced during the computation, it will have visible effect on the final result which renders such attack inefficient to deduce the current bit d i of the private key d.
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机译:公开了一种使用蒙哥马利乘法的特性的对策,用于特别针对安全错误注入攻击来保护诸如RSA和DSA之类的密码系统。在提出的算法中,当指数d的当前位d i等于零时,使用蒙哥马利乘法迭代计算二进制指数b = a d mod n。在那种情况下,实现了R的取幂运算的实际结果的蒙哥马利乘法。由于这种对策,如果在计算过程中引入了故障注入类型的任何干扰,它将对最终结果产生明显影响,这使得这种攻击无法有效地推导出私钥d的当前位d i。
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