Further study on indecomposable cryptographic functions  

作　　者：Zhongqiu WANG Shixiong XIA Fengrong ZHANG 

机构地区：[1]Mine Digitization Engineering Research Center of Ministry of Education,China University of Mining and Technology,Xuzhou 221116,China [2]State Key Laboratory of Cryptology,P.0.Box 5159,Beijing 100878,China [3]Research Center of Innovation on Intelligent Prevention of Disaster and Emergency Rescure,China University of Mining and Technology,Xuzhou 221116,China [4]School of Computer Science and Technology,China University of Mining and Technology,Xuzhou 221116,China

出　　处：《Frontiers of Computer Science》2023年第2期237-239,共3页中国计算机科学前沿（英文版）

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).

摘　　要：1 Introduction Boolean functions have important applications in stream ciphers and block ciphers.Over 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 functions.They provided some sufficient conditions that the functions are indecomposable[7].

关 键 词：FUNCTIONS FUNCTIONS INDECOMPOSABLE 

分 类 号：O15[理学—数学]