在这份报纸,我们构造一些周期的部门代数学(K/F,,) 。如果 F =和 K 是一块 cyclotomic 地的子字段,我们获得一个非标准元素的一个必要、足够的条件( p p 是一个素数和 ),> p u 是 p u th 原语根统一。作为为空间时间块代码的一个应用程序,我们也构造周期的部门代数学(K/F,,) F =(i) ,, K 是子字段(4p u ) 或,并且 = 1+i。而且,我们描述所有周期的部门代数学(K/F,,) 以便 F=(i) ,, K 是子字段和 =1+i d = 2 或 4,是 Euler totient 功能,和 100 是的 p 1, p 2 不同奇怪的素数。
A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the same time,a method is given which can be used to simplify the known results. Then we give the bounds and the meaning in algebraic number theory of the parameters in our results.
LIU FengMei 1,& YUE Qin 21 Department of Information Research,College of Information Engineering,Information Engineering University,Zhengzhou 450002,China