Geodesic
On the number of steiner triple systems
Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 769-774.

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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 $n^2\log n$. 
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     author = {V. E. Alekseev},
     title = {On the number of steiner triple systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {769--774},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a13/}
}
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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/