摘要
Cryptographic properties of the single cycle T-function's output sequences are investigated.Bounds of autocorrelation functions of the kth coordinate sequence and bounds of state output sequence are calculated respectively.The Maximum Sidelobe Ratio(MSR) of the kth coordinate sequence and the MSR of state output sequence are given respectively.The bounds of autocorrelation functions show that the values of autocorrelation functions are large when shifts are small.Comparisons of the autocorrelations between the state output sequence and coordinate output sequence are illustrated.The autocorrelation properties demonstrate that T-functions have cryptographic weaknesses and the illustration result shows coordinate output sequences have better autocorrelation than that of state output sequences.
Cryptographic properties of the single cycle T-function's output sequences are investigated. Bounds of autocorrelation functions of the kth coordinate sequence and bounds of state output sequence are calculated respectively. The Maximum Sidelobe Ratio (MSR) of the kth coordinate sequence and the MSR of state output sequence are given respectively. The bounds of autocorrelation functions show that the values of autocorrelation functions are large when shifts are small. Comparisons of the autocorrelations between the state output sequence and coordinate output sequence are illustrated. The autocorrelation properties demonstrate that T-functions have cryptographic weaknesses and the illustration result shows coordinate output sequences have better autocorrelation than that of state output sequences.
基金
supported by National Natural Science Foundation of China under Grant No.60833008,60970119
the Scientific Research Foundation of Education of Department of Shaanxi Provincial Government of China under Grant No.11JK0503
Youth Science and Technology Foundation of Xi'an University of Architecture and Technology under Grant No.QN0831,QN1024
Foundation of Guangxi Key Laboratory of Information and Communications under Grant No.20902
