基于线性化多项式的置换多项式（英文版）

　　本书主要介绍了一类基于线性化多项式的置换多项式，Helleseth和Zinoviev*先使用这类多项式研究Kloosterman和恒等式，Yuan和Ding率先提出研究这类置换多项式的构造。本书分别从这类置换多项式的指数满足同余式、具有分数形式和基于多个线性化多项式等方面研究了这类置换多项式的构造，多项式置换性质的证明主要借助有限域上方程解数的确定和AGW准则的运用等。

暂缺《基于线性化多项式的置换多项式（英文版）》作者简介

Contents
Chapter 1 Introduction 1
Chapter 2 A Sketch of Kloosterman Sums 7
Chapter 3 PPs with st ≡r(mod pn-1) 13
3.1 PPs with s(pm+1) ≡pm+1(mod p2m-1) 13
3.2 PPs with s(pm-1) ≡pm-1(mod p2m-1) 47
3.3 Other PPs of the form (1.1) with st ≡r(mod pn-1) 57
3.4 PPs from trace functions with st ≡r(mod pn-1) 65
Chapter 4 PPs with Fractional Exponent s 72
4.1 PPs with fractional exponent s= +pil 73
4.2 PPs with fractional exponent s= +pil 83
4.3 PPs with fractional exponent s= 4+pil 90
4.4 PPs with fractional exponent s= +pil 93
4.5 PPs with fractional exponent s= +pil 96
Chapter 5 PPs of the Form 110
5.1 PPs f(x) from permutations 112
5.2 PPs f(x) over Fpn with s1 ≡pts2(modpm-1) 114
5.2.1 PPs over Fpn with s1 ≡s2(mod pm-1) 114
5.2.2 PPs f(x) over F2n with s1 ≡2ts2(mod 2m-1) for t>0 129
5.3 PPs f(x) with fractional s1 and s2 134
5.4 Other PPs f(x) over Fpn 141
Chapter 6 Other PPs 142
Bibliography 161