Construction and Count of 1-Resilient Rotation Symmetric Boo
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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. ...
【文章來源】:Chinese Journal of Electronics. 2017年06期
【文章頁數(shù)】:8 頁
【參考文獻】:
期刊論文
[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]素數(shù)元旋轉對稱彈性布爾函數(shù)的構造與計數(shù)[J]. 杜蛟,溫巧燕,張劼,龐善起. 通信學報. 2013(03)
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[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)
本文編號:2947549
【文章來源】:Chinese Journal of Electronics. 2017年06期
【文章頁數(shù)】:8 頁
【參考文獻】:
期刊論文
[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]素數(shù)元旋轉對稱彈性布爾函數(shù)的構造與計數(shù)[J]. 杜蛟,溫巧燕,張劼,龐善起. 通信學報. 2013(03)
[5]平衡旋轉對稱布爾函數(shù)的計數(shù)[J]. 張鵬,付紹靜,屈龍江,李超. 應用科學學報. 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)
本文編號:2947549
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