论文标题
分数跳跃的代数理论
The Algebraic Theory of Fractional Jumps
论文作者
论文摘要
在本文中,我们首先简要调查了分数跳跃和瞬态投影图的理论。然后,我们为投影图的分数跳跃提供了有效的构造,并将复合发电机的结构扩展到了相互一致的发电机到分数跳跃序列。此外,我们在绝对跳跃索引,投影上的原始多项式以及分数跳跃发电机的明确描述上提供了新的结果。
In this paper we start by briefly surveying the theory of Fractional Jumps and transitive projective maps. Then, we give an efficient construction of a fractional jump of a projective map and we extend the compound generator construction for the Inversive Congruential Generator to Fractional jump sequences. In addition, we provide new results on the absolute jump index, on projectively primitive polynomials, and on the explicit description of fractional jump generators.