Premium
Classification of 6‐(14,7,4) designs with nontrivial automorphism groups
Author(s) -
Khosrovshahi G. B.,
MohammadNoori M.,
TayfehRezaie B.
Publication year - 2002
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.10004
Subject(s) - mathematics , automorphism , intersection (aeronautics) , automorphism group , backtracking , combinatorics , discrete mathematics , algorithm , engineering , aerospace engineering
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. © 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