Further study on indecomposable cryptographic functions

作     者：Zhongqiu WANG Shixiong XIA Fengrong ZHANG Zhongqiu WANG;Shixiong XIA;Fengrong ZHANG

作者机构：Mine Digitization Engineering Research Center of Ministry of EducationChina University of Mining and TechnologyXuzhou 221116China State Key Laboratory of CryptologyP.0.Box 5159Beijing 100878China Research Center of Innovation on Intelligent Prevention of Disaster and Emergency RescureChina University of Mining and TechnologyXuzhou 221116China School of Computer Science and TechnologyChina University of Mining and TechnologyXuzhou 221116China 

出 版 物：《Frontiers of Computer Science》 (中国计算机科学前沿（英文版）)

年 卷 期：2023年第17卷第2期

页      面：237-239页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：This work was supported by the Fundamental Research Funds for the Central Universities of China(2015QNA38) the Natural Science Foundation of China(Grant No.61972400) 

主　　题：functions functions indecomposable 

摘      要：1 Introduction Boolean functions have important applications in stream ciphers and block *** the last decades,the constructions of cryptographic Boolean functions have paid a lot of attention[1,2].Direct sum is a well-known secondary construction of cryptographic functions[3].By using the direct sum,a lot of functions with high nonlinearities can be obtained[4,5].However,the direct sum of two functions are decomposable functions,which have numerous null secondorder derivatives(which represents a potential weakness with respect to the higher order differential attack)[6].(In)decomposable functions were also studied in[7]by Zheng and Zhang under the name(non)separable *** provided some sufficient conditions that the functions are indecomposable[7].