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    • 2. 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。
    • 7. 发明申请
    • PROTECTION OF A MODULAR EXPONENTIATION CALCULATION PERFORMED BY AN INTEGRATED CIRCUIT
    • 集成电路执行的模块化指令计算的保护
    • US20100208883A1
    • 2010-08-19
    • US11917347
    • 2006-06-14
    • Yannick TegliaPierre-Yvan LiardetAlain Pomet
    • Yannick TegliaPierre-Yvan LiardetAlain Pomet
    • H04L9/28
    • G06F7/723G06F2207/7252H04L9/003
    • The invention concerns a method and a circuit for protecting a numerical quantity (d) contained in an integrated circuit (1) on a first number of bits (n), in a modular exponentiation computing of a data (M) by said numerical quantity, which consists in: selecting at least one second number (j) included between the unit and said first number minus two; dividing said numerical quantity into at least two parts, a first part (d(j−1, 0)) comprising, from the bit of rank null, a number of bits equal to said second number, a second part (d(n−1, j)) comprising the remaining bits; for each part of the quantity, computing a first modular exponentiation (23, 33) of said data by the part concerned and a second modular exponentiation (36, 34) 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 (35) the product of the results of the first and second modular exponentiations.
    • 本发明涉及一种方法和电路,用于通过数字量(M)的模幂运算来保护包含在第一位数(n)上的集成电路(1)中的数值(d) 其包括:选择包括在所述单元和所述第一数字之间的至少一个第二数字(j)减去两个; 将所述数值分成至少两部分,第一部分(d(j-1,0)),其包括从秩零的比特数等于所述第二数的比特数,第二部分(d(n- 1,j)); 对于数量的每个部分,由相关部分计算所述数据的第一模幂(23,33)和由图1的第一个结果的第二模幂(36,34)。 2指数与有关部分的第一位的等级的权力; 并计算(35)第一和第二模幂的结果的乘积。