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A complete classification of symmetric (31, 10, 3) designs

✍ Scribed by Edward Spence

Book ID
104631519
Publisher
Springer
Year
1992
Tongue
English
Weight
605 KB
Volume
2
Category
Article
ISSN
0925-1022

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✦ Synopsis

In recent years several authors have determined all symmetric (31, 10, 3) designs with a nontrivial automorphism. Here we describe an algorithm for the generation by computer of all symmetric (31, 10, 3) designs and find that there are precisely 151 such nonisomorphic designs. Of these, 107 have a trivial automorphism group.

πŸ“œ SIMILAR VOLUMES

A short proof of a conjecture on quasi-s
A short proof of a conjecture on quasi-symmetric 3-designs
✍ Rajendra M. Pawale; Sharad S. Sane πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 150 KB

Pawale, R.M. and S.S. Sane, A short p,oof of a conjecture on quasi-symmetric 2-designs, Discrete Mathematics 96 (1991) 71-74. It was conjettured by Sane and M.S. Shrikhande that the only nontrivial quasi-symmetric 3-design with the smaller block intersection number one is either the Witt 4-(23, 7,