additively commutative ordinal numbers

This paper presents a model of sliding window,conducts a new solution to the socialist millionaires’ problem based on sliding window and commutation encryption function,and proves the security of this solution based on simulator.

该文提出了滑动窗口的模型,利用此滑动窗口模型和交换加密函数设计了一种社会主义百万富翁问题新的解决方案,并应用模拟器的思想对该方案安全性进行证明。

In Chapter 1,we introduce some basic definitions and some known conclusions of perfect difference family,directed perfect difference family,perfect system of difference sets,additive sequence of permutations,(m,k,c)-system and its split,etc.

第一章简要介绍完美差族及其相关问题的研究背景,给出完美差族、有向完美差族、完美差集合系统、加性置换序列、(m,k,c)-系统及其分裂点等内容的基本概念及已有的相关定理和结论。