There is no 2-(22, 8, 4) block design
✍ Scribed by Richard Bilous; Clement W. H. Lam; Larry H. Thiel; (Ben) P. C. Li; G. H. John van Rees; Stanisław P. Radziszowski; Wolfgang H. Holzmann; Hadi Kharaghani
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 90 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this article, we show that a 2‐(22,8,4) design does not exist. This result was obtained by a computer search. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 262–267, 2007
📜 SIMILAR VOLUMES
Dedicated to Professor Hahn Hanani on the occasion of his 75th birthday. It is shown that a 2- (22,8,4) design cannot possess any nontriviai automorphisms of an odd order. k = 8, A = 4. This is the smallest case left open in Table 5.23 of the remarkable Hanani's article [7]. Many of the open proble
## Abstract An Erratum has been published for this article in Journal of Combinatorial Designs 14: 83–83, 2006. We enumerate a list of 594 inequivalent binary (33,16) doubly‐even self‐orthogonal codes that have no all‐zero coordinates along with their automorphism groups. It is proven that if a (2
When basic necessary conditions for the existence of a balanced incomplete block design are satisfied, the design may still not exist or it may not be known whether it exists. In either case, other designs may be considered for the same parameters. In this article we introduce a class of alternative
## Abstract The original article to which this Erratum refers was published in Journal of Combinatorial Designs 13: 363–376, 2005. No Abstract.