Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions

Journal of mathematical cryptology

article

Elizabeth M. Reid¹ 

[1] Marist College, Mathematics Department, United States of America;University at Buffalo, Mathematics Department, United States of America

关键词: Boolean function;    rotation symmetric;    Hamming weight;    cryptography;    cryptology;   

DOI  :  10.1515/jmc-2020-0021

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties. In this paper we use the inclusion/exclusion principle to construct formulas for the weights of two subclasses of MRS functions: degree d short MRS functions and d -functions. From these results we classify bent and balanced functions of these forms.

【 授权许可】

CC BY|CC BY-NC-ND