Title

A Mass Formula for Steiner Triple Systems STS(2n−1) of 2-Rank 2n−n☆

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

8-2001

Abstract

A formula is found for the total number of distinct Steiner triple systems on 2ⁿ−1 points whose 2-rank is one higher than the possible minimum 2ⁿ−n−1. The formula can be used for deriving bounds on the number of pairwise nonisomorphic systems for large n, and for the classification of all nonisomorphic systems of small orders. It is proved that the number of nonisomorphic Steiner triple systems on 2ⁿ−1 points of 2-rank 2ⁿ−n grows exponentially.

Publisher's Statement

Copyright © 2001 Academic Press. All rights reserved. Publisher’s version of record: https://doi.org/10.1006/jcta.2000.3161

Publication Title

Journal of Combinatorial Theory, Series A

Recommended Citation

Tonchev, V. (2001). A Mass Formula for Steiner Triple Systems STS(2n−1) of 2-Rank 2n−n☆. Journal of Combinatorial Theory, Series A, 95(2), 197-208. http://doi.org/10.1006/jcta.2000.3161
Retrieved from: https://digitalcommons.mtu.edu/math-fp/133