Constructing New APN Functions Through Relative Trace Functions

首页 > 成果 > 详情

认领

导出

Link by DOI

反馈

作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Zheng, Lijing;Kan, Haibin;Li, Yanjun;Peng, Jie;Tang, Deng

通讯作者：

Kan, H.

作者机构：

[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.

[Kan, Haibin] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Sch Comp Sci, Shanghai 200433, Peoples R China.

[Kan, Haibin] Fudan Univ, Shanghai Engn Ctr Blockchains, Shanghai 200433, Peoples R China.

[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.

[Peng, Jie; Li, Yanjun] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.

通讯机构：

[Kan, H.] F

Fudan University, Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Sciences, The Shanghai Engineering Center of Blockchains, Shanghai, China

语种：

英文

关键词：

APN functions;CCZ-equivalence;quadratic functions;relative trace functions

期刊：

IEEE Transactions on Information Theory

ISSN：

0018-9448

年：

2022

卷：

期：

页码：

7528-7537

DOI：

10.1109/TIT.2022.3186899

基金类别：

10.13039/501100012166-National Key Research and Development Program of China (Grant Number: 2019YFB2101703) 10.13039/501100001809-National Natural Science Foundation of China (Grant Number: 61972258, U19A2066, 61872435 and 12031011) Innovation Action Plan of Shanghai Science and Technology (Grant Number: 20222420800 and 20511102200) 10.13039/501100015956-Special Project for Research and Development in Key areas of Guangdong Province (Grant Number: 2020B0101090001) 10.13039/100009377-Scientific Research Fund of Hunan Provincial Education Department (Grant Number: 19B485)

机构署名：

本校为第一机构

院系归属：

数理学院

摘要：

Let n=2m. In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66(11): 7081-7087, 2020] considered a family of quadrinomials over F2n of the form (equation presented). They showed that two infinite classes of almost perfect nonlinear (APN) functions belong to this family when gcd (6,m)=1. We observe that these two infinite classes of APN quadrinomials and the infinite class of APN polynomials from the Budaghyan-Carlet family belong to a more general family of polynomials over F2n with the form f(x)=a Trnm(F(x))+a2m Trnm(G(x)), where a F2n F2m, ...

反馈

产权有误：本人成果被他人认领

数据有误：数据基本信息有误

归属有误：成果的院系归属、机构署名归属有误

其他原因：

验证码：

看不清楚，换一个

确定

取消

成果认领

标题：

用户	作者	通讯作者	--
	请选择	请选择	--

确定

取消

Constructing New APN Functions Through Relative Trace Functions

反馈

成果认领

提示

该栏目需要登录且有访问权限才可以访问