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Open AccessJournal ArticleDOI

Modular Hadamard martrices and related designs

Osvaldo Marrero, +1 more
- 01 Nov 1973 - 
- Vol. 15, Iss: 3, pp 257-269
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TLDR
The related combinatorial designs are the main concern of this paper; some results dealing with the existence and construction of modular Hadamard matrices will be included in a later paper.
About: 
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-11-01 and is currently open access. It has received 26 citations till now. The article focuses on the topics: Hadamard matrix & Complex Hadamard matrix.

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Citations
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Journal ArticleDOI

Graphs with constant μ and μ

Edwin van Dam, +1 more
- 01 Mar 1998 - 
TL;DR: In this article, it was shown that a connected graph has constant μ and μ if and only if it has two distinct nonzero Laplace eigenvalues, which leads to strong conditions for existence.
Book ChapterDOI

Graphs with Few Eigenvalues

Andries E. Brouwer, +1 more
TL;DR: A graph with only one eigenvalue (for A, L, or Q) is edgeless as mentioned in this paper, and a connected graph with two distinct adjacency eigenvalues is complete.
Journal ArticleDOI

A survey on modular Hadamard matrices

Shalom Eliahou, +1 more
- 01 Oct 2005 - 
TL;DR: These constructions of 32-modular Hadamard matrices for every size n divisible by 4 are provided, based on the description of several families of modular Golay pairs and quadruples.
Journal ArticleDOI

On the structure of regular pairwise balanced designs

David McCarthy, +1 more
- 01 Jan 1979 - 
TL;DR: D determinantal conditions necessary for the existence of (r,λ)-designs are obtained and a generalization of this inequality is obtained.
Journal ArticleDOI

Algebraic duality theorems with combinatorial applications

W.G. Bridges
- 01 Dec 1978 - 
TL;DR: In this paper, the dual structure of combinatorial designs has been studied in the context of tactical decompositions and partial geometric designs, and two linear algebra results have been proved.
References
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A combinatorial problem

de Ng Dick Bruijn

On a combinatorial problem

de Ng Dick Bruijn, +1 more
Journal ArticleDOI

An extension of a theorem of de Bruijn and Erdös on combinatorial designs

H.J Ryser
- 01 Oct 1968 - 
Journal ArticleDOI

Square λ-Linked Designs

Douglas R. Woodall
- 01 Jun 1970 - 
Journal ArticleDOI

Modular Hadamard matrices and related designs. II

O. Marrero, +1 more
- 01 Jan 1972 - 
TL;DR: In this paper, the inner product of any two distinct row vectors is a multiple of a fixed (positive) integer n; such a matrix is also referred to as an H(n, h) matrix with parameters n and h.