Classification of 6‐(14,7,4) designs with nontrivial automorphism groups | Zendy

Khosrovshahi G. B. | Zendy; MohammadNoori M. | Zendy; TayfehRezaie B. | Zendy

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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

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