𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Classification of 6-(14,7,4) designs with nontrivial automorphism groups

✍ Scribed by G. B. Khosrovshahi; M. Mohammad-Noori; B. Tayfeh-Rezaie

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
103 KB
Volume
10
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we introduce some intersection matrices for t‐designs. Utilizing these matrices together with a modified version of a backtracking algorithm, we classify all 6‐(14,7,4) and 5‐(13,6,4) designs with nontrivial automorphism groups and obtain 13 and 21 such designs, respectively. Β© 2002 Wiley Periodicals, Inc. J Combin Designs 10: 180–194, 2002; Published online in Wiley InterScience (www.interscience.wiley.com) DOI 10.1002/jcd.10004

πŸ“œ SIMILAR VOLUMES

Classification of designs with nontrivia
Classification of designs with nontrivial automorphism groups
✍ Ziba Eslami πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract In this article, we introduce a new orderly backtrack algorithm with efficient isomorph rejection for classification of __t__‐designs. As an application, we classify all simple 2‐(13,3,2) designs with nontrivial automorphism groups. The total number of such designs amounts to 1,897,386.

A Series of Hadamard Designs with Large
A Series of Hadamard Designs with Large Automorphism Groups
✍ Dieter Held; Mario-Osvin PavčeviΔ‡ πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 78 KB

for helmut wielandt on his 90th birthday Whilst studying a certain symmetric 99 49 24 -design acted upon by a Frobenius group of order 21, it became clear that the design would be a member of an infinite series of symmetric 2q 2 + 1 q 2 q 2 -1 /2 -designs for odd prime powers q. In this note, we pre

A classification of all symmetric block
A classification of all symmetric block designs of order nine with an automorphism of order six
✍ Dean CrnkoviΔ‡; Sanja Rukavina; Marcel Schmidt πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

## Abstract We complete the classification of all symmetric designs of order nine admitting an automorphism of order six. As a matter of fact, the classification for the parameters (35,17,8), (56,11,2), and (91,10,1) had already been done, and in this paper we present the results for the parameters

Symmetric designs with parameters (69, 1
Symmetric designs with parameters (69, 17, 4) and F39 as a group of automorphisms
✍ Zdravka Boz˘ikov πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 1 views

According to Mathon and Rosa [The CRC handbook of combinatorial designs, CRC Press, 1996] there is only one known symmetric design with parameters (69, 17, 4). This known design is given in Beth, Jungnickel, and Lenz [Design theory, B. I. Mannheim, 1985]; the Frobenius group F39 of order 39 acts on