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    • 51. 发明授权
    • Protection of a modular exponentiation calculation performed by an integrated circuit
    • 保护集成电路执行的模幂运算
    • US08135129B2
    • 2012-03-13
    • US11917347
    • 2006-06-14
    • Yannick TegliaPierre-Yvan LiardetAlain Pomet
    • Yannick TegliaPierre-Yvan LiardetAlain Pomet
    • H04L9/28G06F12/14H04L9/32
    • G06F7/723G06F2207/7252H04L9/003
    • A method and a circuit for protecting a numerical quantity contained in an integrated circuit on a first number of bits, in a modular exponentiation computing of a data by the numerical quantity, including: selecting at least one second number included between the unit and said first number minus two; dividing the numerical quantity into at least two parts, a first part including, from the bit of rank null, a number of bits equal to the second number, a second part including the remaining bits; for each part of the quantity, computing a first modular exponentiation of said data by the part concerned and a second modular exponentiation of the result of the first by the FIG. 2 exponentiated to the power of the rank of the first bit of the part concerned; and computing the product of the results of the first and second modular exponentiations.
    • 一种方法和电路,用于通过所述数字量对数据的模幂运算中的第一位数保护包含在集成电路中的数值,包括:选择包括在所述单元和所述第一位之间的至少一个第二数字 数减二; 将所述数值分为至少两部分,第一部分包括从所述位零位的比特数等于所述第二数目的第二部分,包括剩余比特的第二部分; 对于数量的每个部分,通过所涉及的部分计算所述数据的第一模幂运算,并且通过图1计算第一次的结果的第二模幂运算。 2指数与有关部分的第一位的等级的权力; 并计算第一和第二模幂指数的结果的乘积。
    • 60. 发明授权
    • Protection of a modular exponentiation calculation by multiplication by a random quantity
    • 通过乘以随机数保护模幂运算
    • US08767955B2
    • 2014-07-01
    • US13543106
    • 2012-07-06
    • Yannick Teglia
    • Yannick Teglia
    • H04L9/28
    • G06F7/723G06F2207/7233
    • A method for protecting a calculation, by an electronic circuit, of a modular exponentiation of a digital quantity, wherein: a first variable is initialized with a random quantity; at least one second variable is initialized with a value which is a function of the digital quantity; at least for a bit at 1 of an exponent of the modular exponentiation, the first variable is updated by: a) the quotient of its content and a power of the random quantity; and b) the product of its content by that of the second variable; and once all the exponent bits have been processed, the content of the first variable is divided by the random quantity to provide the result of the modular exponentiation.
    • 一种用于保护由电子电路计算数字量的模幂运算的方法,其中:第一变量用随机数进行初始化; 至少一个第二变量用作为数字量的函数的值初始化; 至少对于模幂数的指数的1位,第一个变量通过以下方式更新:a)其内容的商和随机数的幂; 和b)其内容的乘积与第二个变量的乘积; 并且一旦所有指数位都被处理,则将第一变量的内容除以随机数来提供模幂运算的结果。