有限域上独立随机变量和的极限分布定理及其在流密码中的应用

利用有限域上随机变量的特征函数，本文得到了有限域上独立随机变量和的极限分布定理，作为这一定理的应用，本文研究了有限域上非线性组合函数的构造，给出了有限域上一类与任何线性函数都有较小相关性的非线性组合函数的结构。

Limit Distribution Theorem for a Sum of Independent Random Variables in a Finite Field and Its Applications in Stream Ciphers

With the concept of characteristic function,a limit distribution theorem is obtained for sum of independent random variables in a finite field. As applications of the theorem,the construction of nonlinear combining functions is addressed in finite fields,and a class of nonlinear combining functions is introduced which has small correlations with linear functions.