会议专题

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

第三届信号设计及其在通信中的应用国际会议(Proceedings of 2007 International Workshop on Signal Design and Its Applications in Communications IWSDA07)

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)