Packings with large minimum kissing numbers

被引:7
作者
Alon, N [1 ]
机构
[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,DEPT MATH,IL-69978 TEL AVIV,ISRAEL
关键词
D O I
10.1016/S0012-365X(97)00071-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For each proper power of 4, n, we describe a simple explicit construction of a finite collection of painwise disjoint open unit balls in R-n in which each ball touches more than 2(root n) others. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:249 / 251
页数:3
相关论文
共 7 条
[1]   SIMPLE CONSTRUCTIONS OF ALMOST K-WISE INDEPENDENT RANDOM-VARIABLES [J].
ALON, N ;
GOLDREICH, O ;
HASTAD, J ;
PERALTA, R .
RANDOM STRUCTURES & ALGORITHMS, 1992, 3 (03) :289-304
[2]  
Alon N., 1990, Proceedings. 31st Annual Symposium on Foundations of Computer Science (Cat. No.90CH2925-6), P544, DOI 10.1109/FSCS.1990.89575
[3]  
Barnes E. S., 1959, J AUSTRAL MATH SOC, V1, P47
[4]  
BARNES ES, 1983, CAN J MATH, V35, P30
[5]   FURTHER LATTICE PACKINGS IN HIGH DIMENSIONS [J].
BOS, A ;
CONWAY, JH ;
SLOANE, NJA .
MATHEMATIKA, 1982, 29 (58) :171-180
[6]  
Conway JH., 1988, SPHERE PACKINGS LATT, DOI 10.1007/978-1-4757-2016-7
[7]  
LEECH J, 1984, CAN J MATH, V16, P657