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Hadamard matrices of order 28 with automorphism groups of order two

✍ Scribed by Hiroshi Kimura


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
234 KB
Volume
43
Category
Article
ISSN
0097-3165

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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

Classification of Hadamard matrices of o
✍ Hiroshi Kimura πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 525 KB

We constructed 480 inequivalent Hadamard matrices with Hall sets of order 28 in Kimura (1988) and Kimura and Ohmori (1987). These matrices were classified by K-matrices and K-boxes associated with Hadamard matrices. In this paper we introduce some order on subsets of equivalence classes. By choosing

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