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A constructive bound on kissing numbers.

Source :
Proceedings of the American Mathematical Society. Apr2009, Vol. 137 Issue 9, p2953-2957. 5p.
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
137
Issue :
9
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
46876875
Full Text :
https://doi.org/10.1090/S0002-9939-09-09888-8