素因子

The main contributions of the paper are listed as follows:(1) Propose methods of key-locks, such as equations set, Newton's interpolation formula, and the prime factor decomposition theorem, to implement access control.

论文的主要研究成果为：(1)提出了利用方程组、牛顿插值公式和素因子分解因式等钥—锁配对法来实现一般的访问控制。

Suppose that G is a finite group and p is a prime such that p||G|.

设G为有限群，p是G阶数的一个素因子，即p||G|。

In § 1, we give main definitions and basic results that are needed in the paper. In § 2, we determine the structures of somegroups by using s-normality of Sylow subgroups and the maximal subgroups of Sylow subgroups. There are the main theorems that 1 Let G be a finite group and P be a Sylow p-subgroup of G where p is a prime divisor of |G|.

我们在§1中将给出本文所需的主要概念和基本结果，在§2中讨论Sylow子群、Sylow子群的极大子群的s-正规性对群的结构的影响，主要结果是1设G为有限群，p为|G|的素因子，P为G的Sylow p-子群。

Research on hand shows that the genus of an secure hyperelliptic curve should be small and the cardinality of its Jacobian group should contain a 160bit big prime factor at least.

现有的研究表明，用于构造密码体制的超椭圆曲线必须是低亏格的，且它的Jacobian基数中必须至少含有一个160bit的大素因子。

Subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

bstract 设G是有限群，称G的子群H在G中π-拟正规嵌入，如果对于{H}的每个素因子p， H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

A subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

设G是有限群，称G的子群H在G中π-拟正规嵌入，如果对于{H}的每个素因子p， H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

In respect of niching genetic algorithm,it adopts a new prime factor chromosome encoding method and introduces the maximal frequency item distribution list.

在小生境遗传算法方面，采用了一种新颖的素因子染色体编码方法并引入了最大频繁项分布表。

The applied mathematics in cryptography is mainly consisting of the study of prime factorization,Finite Field,Elliptic Curve and so on.

关于暗号理论中的应用数学主要是素因子的分解，hashu关数，有限体，群论，数论和代数学等等。

Leibniz saw that the uniqueness of prime factorization suggests a central role for prime numbers in the universal characteristic, a striking anticipation of G?

莱布尼茨看到，素因子分解的单值性表明素数在普遍文字中的核心作用，明显是歌德尔编码的先声。

"We see therefore that ideal prime factors reveal the essence of complex numbers, make them transparent, as it were, and disclose their inner crystalline structure.

"，"我们因此看出理想素因子揭示了复数的本质，似乎使得它们明白易懂，并揭露了它们内部透明的结构。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。