On the Walsh spectrum of a family of quadratic APN functions with five terms

查看全文 作　　者：QU [1]LongJiang;TAN [2]Yin;LI [1,3]Chao

机构地区：[1]Department of Mathematics and System Science,Science College,National University of Defense Technology;[2]Department of Electrical and Computer Engineering,University of Waterloo;[3]Science and Technology on Information Assurance Laboratory

出　　处：《Science China(Information Sciences)》索引2014年第57卷第2期,共7页

基　　金：supported by Natural Science Foundation of China(Grant Nos.61070215,61272484);Open Research Fund of Science and Technology on Information Assurance Laboratory(Grant No.KJ-12-02) 摘　　要：Recently,a family of quadratic APN functions was demonstrated by Bracken et al.to exist over F22k with k even and 3 k.This family of APN functions was firstly proposed by Budaghyan et al.and they exist provided the existence of a quadratic polynomial of the type x2s+1+cx2s+c2k x+1 with no zeros in F22k.Bracken et al.constructed such polynomials when k is even and 3 k.In this paper,we show that such polynomials exist for all even integers k.As a result,the APN functions over F22k exist for all even k.Furthermore,the Walsh spectra of these APN functions is shown to be the same as the one of the Gold APN functions.This gives a positive answer to one conjecture. 关键词：APN WALSH谱 N函数家庭二次多项式偶数沃尔什蕨菜

相关文献

参考文献（15）
引证文献（1）
耦合文献（0）

参考文献(15)

引证文献(1)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

On the Walsh spectrum of a family of quadratic APN functions with five terms

参考文献(15)

引证文献(1)

用户提示