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Yuyin YU Zongxiang YI Chuanming TANG Jian GAO
For any positive integer n, define an iterated function $f(n)=left{ egin{array}{ll} n/2, & mbox{ $n$ even, } 3n+1, & mbox{ $n$ odd. } end{array}
ight.$ Suppose k (if it exists) is the lowest number such that fk(n)
Zongxiang YI Yuyin YU Chunming TANG Yanbin ZHENG
Notes on two constructions of zero-difference balanced (ZDB) functions are made in this letter. Then ZDB functions over Ze×∏ki=0 Fqi are obtained. And it shows that all the known ZDB functions using cyclotomic cosets over Zn are special cases of a generic construction. Moreover, applications of these ZDB functions are presented.