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On Hadamard matrices
Abstract Recent advances in the construction of Hadamard matrices have depended on the existence of Baumert-Hall arrays and four (1, −1) matrices A, B, C, D of order m which are of Williamson type,Expand
Combinatorics: room squares, sum-free sets, Hadamard matrices
Now welcome, the most inspiring book today from a very professional writer in the world, combinatorics room squares sum free sets hadamard matrices. This is the book that many people in the worldExpand
A construction for Hadamard arrays
We give a construction for Hadamard arrays and exhibit the arrays of orders 4t , tE{l,3,5,7, ... 19} This gives seventeen new Hadamard matrices of order less than 4000. Disciplines Physical SciencesExpand
Two new block designs
In this note the matrices W, X. Y, and Z are the incidence matrices of the (u, k, ,\,) configurations (15, 7, 3), (25,9,3), (45, 12,3), and (36, 15,6), respectively. Wand X are new formulations ofExpand
Constructions for amicable orthogonal designs
Infinite families of amicable orthogonal designs are constructed with (i) both of type (1, q ) in order q + 1 when q ≡ 3 (mod 4) is a prime power, (ii) both of type (1, q ) in order 2( q + 1) where qExpand
A class of Hadamard matrices
Abstract Whenever there exists a quasi-skew Hadamard matrix of order 4m and (4n−1, k, m−n+k) and (4n−1, u, u−m) configurations with circulant incidence matrices, then there exists an Hadamard matrixExpand
Some results on weighing matrices
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q 2 + q + 1 with q 2 nonzero elements per row and column. This result allows the bound N to be lowered inExpand
Some (1, -1) Matrices
Abstract We define an n -type (1, −1) matrix N = I + R of order n ≡ 2 (mod 4) to have R symmetric and R 2 = ( n − 1) I n . These matrices are analogous to skew-type matrices M = I + W which have WExpand
Amicable Hadamard Matrices
  • Jennifer Wallis
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. A
  • 1 November 1971
TLDR
A construction for amicable Hadamard matrices is given, and are used to generalize a construction for skew-Hadamards matrices. Expand
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