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    杨雅琴. 阶数n>4的Hadamard矩阵不是循环矩阵的完整证明[J]. 内江师范学院学报, 2011, (2): 17-18.
    引用本文: 杨雅琴. 阶数n>4的Hadamard矩阵不是循环矩阵的完整证明[J]. 内江师范学院学报, 2011, (2): 17-18.
    shu
    YANG Ya-qin. Complete Confirmation of Order Hadamard Matrix Being Not Cyclic Matrix n＞4[J]. Journal of Neijiang Normal University, 2011, (2): 17-18.
    Citation: YANG Ya-qin. Complete Confirmation of Order Hadamard Matrix Being Not Cyclic Matrix n＞4[J]. Journal of Neijiang Normal University, 2011, (2): 17-18.
    shu

    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

      摘要
    • 摘要: 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.

       

      Abstract: Abstract: 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.

       

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