Codes, lattices, and Steiner systems
The electronic journal of combinatorics, Tome 4 (1997) no. 1
Two classification schemes for Steiner triple systems on 15 points have been proposed recently: one based on the binary code spanned by the blocks, the other on the root system attached to the lattice affinely generated by the blocks. It is shown here that the two approaches are equivalent.
@article{10_37236_1291,
author = {Patrick Sol\'e},
title = {Codes, lattices, and {Steiner} systems},
journal = {The electronic journal of combinatorics},
year = {1997},
volume = {4},
number = {1},
doi = {10.37236/1291},
zbl = {0885.05028},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1291/}
}
Patrick Solé. Codes, lattices, and Steiner systems. The electronic journal of combinatorics, Tome 4 (1997) no. 1. doi: 10.37236/1291
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