摘要
密码学中所涉及的函数包括布尔函数和向量值函数,这两类函数的安全性指标包括差分一致性和非线性度等.构造密码学性质良好的低差分一致性函数是密码学中的热点问题.构造了两类偶特征有限域上的、新的几乎完全非线性(almost perfect nonlinear,APN)函数,并分别证明了它们与偶特征有限域上已知的单项式APN函数EA不等价.
Boolean function and vector function were two classes of functions involved in cryptography. It contained differential uniformity, nonlinearity, etc. as their safety indicator. Constructing low differential uniformity functions with good cryptography property was always a hot topic. Two new types of almost per-fect nonlinear （ APN） polynomial function over even characteristic finite fields were constructed, moreo-ver, it was proved that the presented functions were EA-inequivalent to the previously known monomial APN functions over even characteristic finite fields.
作者
张习勇
李乃江
鲁志波
李德全
ZHANG Xiyong LI Naijiang LU Zhibo LI Dequan(State Key Laboratory of Space-Ground Integrated Information Technology, Beijing 100020, China The PLA Information Engineering University, Zhengzhou 450001, China)
出处
《郑州大学学报（理学版）》
CAS
北大核心
2016年第4期1-5,共5页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(61572027)
关键词
差分一致性
APN函数
EA等价
CCZ等价
differential uniformity
almost perfect nonlinear function
extended affine equivalence
Carlet-Charpin-Zinoviev equivalence
作者简介
张习勇（1975-），男，湖北武穴人，副教授，主要从事密码学研究，E-mail：xiyong．zhang@hotmml．com．
