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中文摘要：
针对以单圈T函数代替线性移位寄存器设计流密码的可行性，对单圈T一函数的分量函数所生成序列（第k位序列）的移位自相关性进行了研究．在移位量取第k位序列周期与2的负指数幂之积的条件下，根据单圈T函数的性质，结合自相关函数的周期特征，计算了对应的自相关函数的上界和下界．由该上下界分析知，当移位量较小时，自相关函数的取值较大，表明T函数不适合直接用作密码函数生成伪随机序列．
英文摘要：
Autocorrelation properties of coordinate sequence generated by single cycle T-function （the kth coordinate sequence） are investigated to check whether T-functions can be the substitution of linear feed- back shift register in the design of stream ciphers. Based on single cycle T-function＇s properties and autocorrelation function＇s periodicity, the bounds of autoeorrelation functions are calculated, where the shift is equal to the period of the kth coordinate sequence multiplied by 2 to the minus power. According to the bounds, it is concluded that the smaller the shift is, the larger the value of autocorrelation functions is. As a result, T-functions are not suitable for generating pseudorandom sequences.
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