代数免疫阶是针对代数攻击而提出的新的密码准则。为了抵抗代数攻击,流密码中所使用的Boole函数应该具有高代数免疫阶。文中运用替换掉Dalai所构造的代数免疫对称Boole函数支撑集中一些点的方法构造了大量具有最高代数免疫阶的Boole函数,并给出了所构造函数的计数。特别地,对于某些代数次数低于n/2的多项式p(x),构造了代数标准形中单项式系数都不小于n/2的q(x)使得p(x)+q(x)具有最高代数免疫阶。 Algebraic immunity is a new cryptographic criterion for algebraic attacks. To resist algebraic attacks, the Boole function used in the stream cipher should have a high algebraic immunity order. In this paper, by replacing the algebraic immune symmetric Boole function constructed by Dalai, some Boolean functions with the highest algebraic immune order are constructed and the counts of constructed functions are given. In particular, for some polynomials p (x) whose algebraic numbers are less than n / 2, we construct q (x) such that p (x) + q The highest algebraic immune order.