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This article is cited in 14 scientific papers (total in 14 papers)
Research Papers
On tight spherical designs
G. Nebe, B. Venkov Lehrstuhl D für Mathematik, RWTH Aachen, Aachen, Germany
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 $n$.
Keywords:
tight $t$-design, quadratic form.
Received: 01.11.2011
Citation:
G. Nebe, B. Venkov, “On tight spherical designs”, Algebra i Analiz, 24:3 (2012), 163–171; St. Petersburg Math. J., 24:3 (2013), 485–491
Linking options:
https://www.mathnet.ru/eng/aa1287 https://www.mathnet.ru/eng/aa/v24/i3/p163
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Abstract page: | 394 | Full-text PDF : | 113 | References: | 39 | First page: | 16 |
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