Matrix Description on Cryphographic Properties of Plateaued Functions
In this paper, the cryptographic properties of the Plateaued functions such as propagation criterion, linear structures are studied by a new method, which is denoted by the dot product matrix. The upper and lower bounds of the correlation coefficient when the element is not in the linear structures set are presented. The count of the nonzero correlation coefficient set of the Plateaued functions on different conditions is given. Finally, the degeneracy of the Plateaued functions is discussed and we present the distribution of the linear structures.
Croptography Boolean functions Plateaued functions Dot product matrix
Xiaojian Luo Bin Hu
Electronic Technology Institute, Information Engineering University Zhengzhou, China
国际会议
黄山
英文
312-316
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）