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PARAMETER GENERATING APPARATUS, CRYPTOGRAPHIC KEY CREATING DEVICE, AND THOSE METHODS AND PROGRAM
PARAMETER GENERATING APPARATUS, CRYPTOGRAPHIC KEY CREATING DEVICE, AND THOSE METHODS AND PROGRAM
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机译:参数生成设备,密码学密钥创建设备以及这些方法和程序
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PROBLEM TO BE SOLVED: To efficiently specify an integer x which is an element x of a set g in a discrete logarithm x≡ga(mod N) with a composite number N as a modulus.;SOLUTION: A prime number power creating section 111 creates a prime number power qj(j=1, ..., s) in which gcd(ϕ(qv), ϕ(qw))=2 for all v and w (1≤vw≤s). A generator creating section 112 creates for all j, an integer g which is the generator of an integer set {Zqj× (where a suffix qj stands for qj)} which is 0 or more, and less than qj in which g mod qj is mutually prime with the prime number power qj. A composite number creating section 113 calculates the composite number N (N=Πj=1sqj) which is a product of all prime number power qj created by the prime number power creating section 111.;COPYRIGHT: (C)2007,JPO&INPIT
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机译:解决的问题:为了有效地指定整数x,它是离散对数x&g a Sup>(mod N)中的集合的元素x,其模数为N。 ;解决方案:素数幂创建部分111创建素数幂q j Sub>(j = 1,...,s)其中gcd(ϕ(q v Sub >),对于所有v和w(1≤ v w Sub>))= 2。生成器创建部分112为所有j创建整数g,该整数g是整数集{Zqj × Sup>(其中后缀qj代表q j Sub>)的生成器)}等于或大于0且小于q j Sub>,其中g mod q j Sub>与质数幂q j Sub>互质。合成数创建部分113计算作为所有乘积的合成数N(N =Π j = 1 Sub> s Sup> q j Sub>)质数幂创建部分111创建的质数幂q j Sub>。版权所有:(C)2007,JPO&INPIT
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