Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 769-774
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V. E. Alekseev. On the number of steiner triple systems. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 769-774. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a13/
@article{MZM_1974_15_5_a13,
author = {V. E. Alekseev},
title = {On the number of steiner triple systems},
journal = {Matemati\v{c}eskie zametki},
pages = {769--774},
year = {1974},
volume = {15},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a13/}
}
TY - JOUR
AU - V. E. Alekseev
TI - On the number of steiner triple systems
JO - Matematičeskie zametki
PY - 1974
SP - 769
EP - 774
VL - 15
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a13/
LA - ru
ID - MZM_1974_15_5_a13
ER -
%0 Journal Article
%A V. E. Alekseev
%T On the number of steiner triple systems
%J Matematičeskie zametki
%D 1974
%P 769-774
%V 15
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a13/
%G ru
%F MZM_1974_15_5_a13
We obtain a new lower estimate for the number $N(n)$ of nonisomorphic Steiner triple systems of order $n$: $$ N(n)\ge n^{\frac{n^2}{12}-O\bigl(\frac{n^2}{\log n}\bigr)}. $$ This makes it possible to show that $\log N(n)$ is of order $n^2\log n$.
