广义［d，k］－自控序列的周期特性

PERIODIC PROPERTIES OF THE GENERALIZED [d, k]-SELF CONTROLLED SEQUENCES

广义［ｄ，ｋ］－自控序列的周期特性冯克勤（中国科学技术大学数学系，合肥２３００２６）李超（国防科学技术大学数学系，长沙４１０００３）ＰＥＲＩＯＤＩＣＰＲＯＰＥＲＴＩＥＳＯＦＴＨＥＧＥＮＥＲＡＬＩＺＥＤ［ｄ，ｋ］－ＳＥＬＦＣＯＮＴＲＯＬＬＥＤＳＥＱＵＥ...

In this paper we introduce the generalized [d, k]-self controlled sequences, which are a generalization of [d, k]-self controlled sequences presented by Ruepppel, when the boolean function g(x1, x2,……,xn) which is used controlling the shift clock has only one or two variables, we discuss the translative equivalent properties and periodic properties. Finally the periodic length and the number of '1' in a period of the generalized [1,2]-self contrlled sequences are determined.