Construction and Count of 1-Resilient Rotation Symmetric Boo

发布时间：2020-12-30 11:16

　　This paper studies the properties of orbit matrix and gives a formula to compute the number of these orbit matrices on 4p variables, where p is an odd prime. It has been demonstrated that the construction of 1-resilient Rotation symmetric Boolean functions（RSBFs） on 4p variables is equivalent to solving an equation system. By the proposed method, all 1-resilient RSBFs on 12 variables can be constructed. We present a counting formula for the total number of all 1-resilient RSBFs on 4p variables. ... 

【文章来源】：Chinese Journal of Electronics. 2017年06期

【文章页数】：8 页

【参考文献】：
期刊论文
[1]Some Properties of Correlation Function on Generalized Boolean Functions[J]. ZHUO Zepeng,CHONG Jinfeng,WEI Shimin.  Chinese Journal of Electronics. 2015(01)
[2]Construction and Count of 1-Resilient Rotation Symmetric Boolean Functions on pr Variables[J]. DU Jiao,PANG Shanqi,WEN Qiaoyan,LIAO Xin.  Chinese Journal of Electronics. 2014(04)
[3]ON THE DEGREE OF COMPLETENESS OF CRYPTOGRAPHIC FUNCTIONS[J]. Liu Jian,Chen Lusheng.  Journal of Electronics(China). 2014(05)
[4]素数元旋转对称弹性布尔函数的构造与计数[J]. 杜蛟,温巧燕,张劼,庞善起.  通信学报. 2013(03)
[5]平衡旋转对称布尔函数的计数[J]. 张鹏,付绍静,屈龙江,李超.  应用科学学报. 2012(01)
[6]On the number of rotation symmetric Boolean functions[J]. FU ShaoJing1, LI Chao1,2 & QU LongJiang1,3 1Science College of National University of Defense Technology, Changsha 410073, China; 2State Key Laboratory of Information Security, Beijing 100039, China; 3National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China.  Science China(Information Sciences). 2010(03)



本文编号：2947549