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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A constructive bound on kissing numbers


Author: Chaoping Xing
Journal: Proc. Amer. Math. Soc. 137 (2009), 2953-2957
MSC (2000): Primary 11H06, 11H31, 05B40, 94B75
Published electronically: April 3, 2009
MathSciNet review: 2506453
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Abstract: In the present paper, by making use of the concatenation of $ 17^2-1=288$ points on the sphere of radius $ 4$ in $ \mathbb{R}^{16}$ and subcodes of algebraic geometry codes over $ \mathbb{F}_{17^2}$, we improve the best-known constructive bound on kissing numbers by A. Vardy.


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Additional Information

Chaoping Xing
Affiliation: Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Republic of Singapore
Email: xingcp@ntu.edu.sg

DOI: http://dx.doi.org/10.1090/S0002-9939-09-09888-8
PII: S 0002-9939(09)09888-8
Received by editor(s): October 20, 2008
Received by editor(s) in revised form: January 9, 2009
Published electronically: April 3, 2009
Additional Notes: The author was supported by the Singapore MOE Tier 2 grant T208B2206 and the National Scientific Research Project 973 of China 2004CB318000
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2009 American Mathematical Society