Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

On tight spherical designs


Authors: G. Nebe and B. Venkov
Original publication: Algebra i Analiz, tom 24 (2012), nomer 3.
Journal: St. Petersburg Math. J. 24 (2013), 485-491
MSC (2010): Primary 05B30, 51E30
Published electronically: March 21, 2013
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in St. Petersburg Mathematical Journal with MSC (2010): 05B30, 51E30

Retrieve articles in all journals with MSC (2010): 05B30, 51E30


Additional Information

G. Nebe
Affiliation: Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany
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

DOI: http://dx.doi.org/10.1090/S1061-0022-2013-01249-0
PII: S 1061-0022(2013)01249-0
Keywords: tight $t$-design, quadratic form
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
Article copyright: © Copyright 2013 American Mathematical Society