%0 Journal Article %A LI Shun-bo %A WANG Yan %A XUE Gai-na %A ZHAO Song %T Fermat Number and 2-Adic Complexity of a Class of Maximum Period Sequence %D 2018 %R 10.13190/j.jbupt.2017-158 %J Journal of Beijing University of Posts and Telecommunications %P 81-85 %V 41 %N 2 %X The relationship between the Fermat number and the T function generated by single cycle T-function's maximal periodic sequence were found. The 2-adic complexity of the kth coordinate sequence and the state output sequence were studied. Values and bounds of the 2-adic complexity were obtained. It is shown that the two sequences generated by the single cycle T-function cannot form l-sequences. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2017-158