| Author Name | Affiliation | | Zepeng Zhuo | School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China | | Jinfeng Chong | School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China | | Ruirui Yu | School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China | | Mingsheng Ren | School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China |
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| Abstract: |
| In order to measure the correlation propeties of two Boolean functions, the global avalanche characteristics of Boolean functions constructed by concatenation are discussed, i.e.,f1‖f2 and f1‖f2‖f3‖f4.Firstly, for the function f=f1‖f2,the cross-correlation function off1, f2in the special condition are studied. In this case,f, f1, f2must be in desired form. By computing their sum-of-squares indicators, the cross-correlation function betweenf1, f2is obtained. Secondly, for the function g=f1‖f2‖f3‖f4,by analyzing the relation among their auto-correlation functions, their sum-of-squares indicators are investigated. Based on them, the sum-of-squares indicators of functions obtained by Canteaut et al. are investigated. The results show that the correlation property of g is good when the correlation properties of Boolean functionsf1, f2, f3, f4are good. |
| Key words: Boolean function cross-correlation function global avalanche characteristics sum-of-squares indicator |
| DOI：10.11916/j.issn.1005-9113.2016.03.011 |
| Clc Number:TP918.1 |
| Fund: |
