Bounds on Kissing Numbers

1993 ◽  
pp. 337-339 ◽  
Author(s):  
A. M. Odlyzko ◽  
N. J. A. Sloane
Keyword(s):  
Kissing Numbers

scholarly journals Average kissing numbers for non-congruent sphere packings

1994 ◽  
Vol 1 (3) ◽  
pp. 339-344 ◽  
Author(s):  
Greg Kuperberg ◽  
Oded Schramm
Keyword(s):  
Sphere Packings ◽  
Kissing Numbers

scholarly journals High-Accuracy Semidefinite Programming Bounds for Kissing Numbers

2010 ◽  
Vol 19 (2) ◽  
pp. 175-179 ◽  
Author(s):  
Hans Mittelmann ◽  
Frank Vallentin
Keyword(s):  
Semidefinite Programming ◽  
High Accuracy ◽  
Kissing Numbers

scholarly journals Improved Lower Bounds for Kissing Numbers in Dimensions 25 through 31

2017 ◽  
Vol 31 (3) ◽  
pp. 1895-1908
Author(s):  
Kenz Kallal ◽  
Tomoka Kan ◽  
Eric Wang
Keyword(s):  
Lower Bounds ◽  
Kissing Numbers

scholarly journals On Kissing Numbers in Dimensions 32 to 128

10.37236/1360 ◽  
1998 ◽  
Vol 5 (1) ◽  
Author(s):  
Yves Edel ◽  
E. M. Rains ◽  
N. J. A. Sloane
Keyword(s):  
New Record ◽  
Binary Codes ◽  
Kissing Numbers ◽  
Elementary Construction

An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128.

scholarly journals New upper bounds for kissing numbers from semidefinite programming

2008 ◽  
Vol 21 (3) ◽  
pp. 909-909 ◽  
Author(s):  
Christine Bachoc ◽  
Frank Vallentin
Keyword(s):  
Semidefinite Programming ◽  
Upper Bounds ◽  
Kissing Numbers

scholarly journals Systoles and kissing numbers of finite area hyperbolic surfaces

2015 ◽  
Vol 15 (6) ◽  
pp. 3409-3433 ◽  
Author(s):  
Federica Fanoni ◽  
Hugo Parlier
Keyword(s):  
Hyperbolic Surfaces ◽  
Finite Area ◽  
Kissing Numbers
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