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A generalization of hadamard matrices

Akbari, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.endm.2013.11.006
  3. Abstract:
  4. Let S⊆C*=C{0} and A∈Mn(C). The matrix A is called an S-GHMn if A∈Mn(S) and AA*=Diag(λ1,... λn), for some positive numbers λi, i=1,... n. In this paper we provide some necessary conditions on n for the existence of an S-GHMn over a finite set S. We conjecture that for every positive integer n, there exists a {±1, ±2, ±3}-GHMn
  5. Keywords:
  6. Generalized Hadamard matrices ; Hadamard matrices
  7. Source: Electronic Notes in Discrete Mathematics ; Vol. 45 , 2014 , pp. 23-27 ; ISSN: 15710653
  8. URL: http://www.sciencedirect.com/science/article/pii/S1571065313002862