阶数n>4的Hadamard矩阵不是循环矩阵的完整证明

Complete Confirmation of Order Hadamard Matrix Being Not Cyclic Matrix n>4

从Hadamard矩阵和循环矩阵元素的一些性质出发,根据阶数n>4的Hadamard矩阵中元素+1与-1个数的存在情况,证明了这个Hadamard矩阵不可能由循环矩阵生成.所以,阶数n>4的Hadamard矩阵不可能是一个循环矩阵.

On basis of the properties of the elements of Hadamard matrix and cyclic matrix and in combination with the existent number of ＋1 elements and -1 elements in Order n〉4Hadamard matrix, it is confirmed that such a Hadamard matrix cannot be generated by cyclic matrix. Therefore Order n〉4Hadamard matrix can not be a cyclic matrix.