Geodesic
Large equiangular sets of lines in euclidean space
The electronic journal of combinatorics, Tome 7 (2000)
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A construction is given of ${{2}\over {9}} (d+1)^2$ equiangular lines in Euclidean $d$-space, when $d = 3 \cdot 2^{2t-1}-1$ with $t$ any positive integer. This compares with the well known "absolute" upper bound of ${{1}\over {2}} d(d+1)$ lines in any equiangular set; it is the first known constructive lower bound of order $d^2$ .
DOI : 10.37236/1533
Classification : 51M04, 52A20, 15A18
Mots-clés : equiangular lines, adjacency matrix, eigenvalues 
@article{10_37236_1533,
     author = {D. de Caen},
     title = {Large equiangular sets of lines in euclidean space},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1533},
     zbl = {0966.51010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1533/}
}
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%0 Journal Article
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%J The electronic journal of combinatorics
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D. de Caen. Large equiangular sets of lines in euclidean space. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1533

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