On the Existence of Multilevel Hadamard Matrices with Odd Order
The multilevel (n-ary) Hadamard matrices,which are related to orthogonal matrices or orthogonal designs, are investigated in this paper. It is assumed that all matrix elements are integers, which make the binary Hadamard matrices as special cases of multilevel (n-ary)Hadamard matrices. It is shown that the multilevel Hadamard matrices of odd order do exist if only two different matrix elements are contained; but, except an unknown case, multilevel (n-ary) Hadamard matrices of odd order do not exist when all matrix elements are successive integers.
multilevel Hadamard matrix orthogonal matrix,orthogonal design.
Quang Khai Trinh Pingzhi Fan Ernst M Gabidulin R.N.Mohan
国际会议
成都
英文
123-127
2007-09-23(万方平台首次上网日期,不代表论文的发表时间)