The 3-class Association Schemes Connected with Checkered Hadamard Matrices of Order 16

✍ Scribed by R.W. Goldbach; H.L. Claasen

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 136 KB
• Volume: 21
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.2000.0404

✦ Synopsis

In this paper we determine all symmetric and non-symmetric 3-class association schemes such that for their adjacency matrices D i we have

Hadamard matrix of order 16 (i.e. an Hadamard matrix 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). It appears that there are, essentially, four symmetric and two non-symmetric 3-class association schemes of this kind.