On tight spherical designs
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- by G. Nebe and B. Venkov
- St. Petersburg Math. J. 24 (2013), 485-491
- DOI: https://doi.org/10.1090/S1061-0022-2013-01249-0
- Published electronically: March 21, 2013
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Abstract:
Let $X$ be a tight $t$-design of dimension $n$, and let $t=5$ or $t=7$ (the open cases). An investigation of the lattice generated by $X$ by using arithmetic theory of quadratic forms allows one to exclude infinitely many values of $n$.References
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Bibliographic Information
- G. Nebe
- Affiliation: Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany
- MR Author ID: 344248
- Email: nebe@math.rwth-aachen.de
- B. Venkov
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, Saint Petersburg 191023, Russia
- Received by editor(s): November 1, 2011
- Published electronically: March 21, 2013
- Additional Notes: Boris Venkov died in November 2011 before we could finish this paper
- © Copyright 2013 American Mathematical Society
- Journal: St. Petersburg Math. J. 24 (2013), 485-491
- MSC (2010): Primary 05B30, 51E30
- DOI: https://doi.org/10.1090/S1061-0022-2013-01249-0
- MathSciNet review: 3014131