中文摘要：

给出了Klimov-Shamir型1-Lipschitz函数的模2^2-微分指标的一个直接计算,修正了Anashin关于模2^2-微分指标的一个结论.进一步地,利用Anashin的模2^2-微分指标定理构造了一大类形如f（x）=u（x）＋u^2（x）∨5的单圈1-Lipschitz函数.

英文摘要：

In this paper,a direct calculation for the derivatives modulo 2^k of the KlimovShamir 1-Lipschitz function was presented,and the Anashin＇s conclusion on the derivatives modulo 2^k was corrected.Moreover,based on the derivatives modulo 2^k,a method to construct new single cycle 1-Lipschitz functions f（x） = u（x） ＋ u^2（x） ∨ 5 was given.