Let p be an odd prime number such that p -1 = 2 e m for some odd m and e β₯ 2. In this article, by using the special linear fractional group PSL(2, p), for each i, 1 β€ i β€ e, except particular cases, we construct a 2-design with parameters v = p + 1, k = (p -1)/2 i + 1 and Ξ» = ((p-1)/2 i +1)(p-1)/2 =
β¦ LIBER β¦
On Hadamard matrices of order 2(p+1) with an automorphism of odd prime order p
β Scribed by Daniel B. Dalan; Masaaki Harada; Akihiro Munemasa
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 126 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
In this paper, we investigate Hadamard matrices of order 2(pβ+β1) with an automorphism of odd prime order p. In particular, the classification of such Hadamard matrices for the cases pβ=β19 and 23 is given. Selfβdual codes related to such Hadamard matrices are also investigated. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 367β380, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10052
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