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Hadamard matrices of order 4(2p + 1)

✍ Scribed by Albert Leon Whiteman


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
506 KB
Volume
8
Category
Article
ISSN
0022-314X

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Skew-Hadamard matrices of order 2(q + 1)
✍ Edward Spence πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 705 KB

Szekeres has established the ex:stence of a skew-Hadamard malrix of order 2(9 + 1) in the case 9 = 5 (mods), a prime power. His method utilized complemlcntary difference sets in the elementary abelian group of order 9. The main result of this paper is to show that, for the same 9, there exist skew-H

On Hadamard matrices of order 2(p+1) wit
✍ Daniel B. Dalan; Masaaki Harada; Akihiro Munemasa πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 126 KB πŸ‘ 1 views

## Abstract In this paper, we investigate Hadamard matrices of order 2(p + 1) with an automorphism of odd prime order __p__. In particular, the classification of such Hadamard matrices for the cases __p__ = 19 and 23 is given. Self‐dual codes related to such Hadamard matrices are also investigated.

Checkered Hadamard Matrices of Order 16
✍ R.W. Goldbach; H.L. Claasen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 112 KB

In this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e., Hadamard matrices consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0 for i = j and where J 4 is the all-one matrix of order 4). It is shown that the checkered

Classification of Hadamard matrices of o
✍ Hiroshi Kimura πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 489 KB

We constructed all inequivalent Hadamard matrices with Hall sets of order 28 and classified by K-matrices associated with Hadamard matrices except five matrices in our earlier work (Kimura, 1988) (see also Kimura, to appear;Kimura and Ohmori, 1987). In this paper we prove that Hadamard matrices with