Constructions of rotation symmetric 2-resilient functions with 4t-1 number of variables |
| |
| Authors: | Jiao DU Chunhong LIU Shanqi PANG |
| |
| Affiliation: | 1. College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China;2. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Henan Normal University,Xinxiang 453007,China;3. College of Computer and Information Engineering,Henan Normal University,Xinxiang 453007,China |
| |
| Abstract: | Some properties of rotation symmetric orbits were proposed in n dimensional vector space over finite field of characteristic 2,a matrix on the distributions of number pairs such as 00,01 and 11 was defined,and a new characterization of 2-resilient rotation symmetric functions was introduced.Constructions of rotation symmetric 2-resilient Boolean functions with 4t-1 number of variables were presented by modifying the support of the linear rotation symmetric functions,such as f0(x)=x1+x2+…+xn,where n=4t-1.At last,an example was demonstrated to introduce the spirit of the proposed method to construct 2-resilient rotation symmetric functions with 4t-1 number of variables. |
| |
| Keywords: | cryptography rotation symmetric function orthogonal array resilient function support table |
|
| 点击此处可从《通信学报》浏览原始摘要信息 |
|
点击此处可从《通信学报》下载全文 |
|
