中文摘要：

提出了一种具有均衡密码学性质布尔函数的递归构造，研究了所构造布尔函数的密码学性质并重点讨论了其代数免疫性，提出了一种关于它的代数免疫度的判定方法。所构造的函数不仅具有平衡性、相关免疫性、扩散性，还具有高的代数免疫度，且在计算机上容易实现。

英文摘要：

This paper presents a recursive method for constructing Boolean functions which have bal anced cryptographic properties. The cryptographic properties, especially algebraic immunity, are in vestigated, and a measurement of new Boolean functions＇ algebraic immunity is proposed. The new Boolean functions enjoy good cryptographic properties, including being well balanced, correlation immune, and easy to be propagated. Better algebraic immunity and computer friendliness are also a mong the advantages.