New families of perfect nonlinear polynomial functions

JOURNAL OF ALGEBRA

卷:322

Article

Zha, Zhengbang²  Wang, Xueli¹ 

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Peoples R China

关键词: Almost perfect nonlinear functions;    Perfect nonlinear functions;    Planar functions;    Differential uniformity;   

DOI  :  10.1016/j.jalgebra.2009.04.042

来源: Elsevier

【 摘 要 】

A new class of almost perfect nonlinear (APN) polynomial functions has been recently introduced. We give. some generalizations of these functions and deduce new families of perfect nonlinear (PN) functions. We show that these PN functions are CCZ-inequivalent to the known perfect nonlinear functions. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free