NEW BOUNDS ON THE NUMBER OF UNIT SPHERES THAT CAN TOUCH A UNIT SPHERE IN N-DIMENSIONS

被引：94

作者：

ODLYZKO, AM

SLOANE, NJA

机构：

[1] Bell Laboratories, Murray Hill

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1979年 / 26卷 / 02期

关键词：

D O I：

10.1016/0097-3165(79)90074-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New upper bounds are given for the maximum number, τn, of nonoverlapping unit spheres that can touch a unit sphere in n-dimensional Euclidean space, for n≤24. In particular it is shown that τ8 = 240 and τ24 = 196560. © 1979.

引用

页码：210 / 214

页数：5

共 8 条

[1] Abramowitz M., 1972, HDB MATH FUNCTIONS
[2] Coxeter H. S. M, 1963, P S PURE MATH, VVII, P53
[3] Delsarte P., 1977, GEOMETRIAE DEDICATA, V6, P363, DOI DOI 10.1007/BF03187604
[4] SPHERE PACKINGS AND ERROR-CORRECTING CODES
LEECH, J
SLOANE, NJA
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1971, 23 (04): : 718 - &
[5] LLOYD SP, HAMMING ASS SCHEMES
[6] Rankin RA., 1955, P GLASGOW MATH ASS, V2, P139, DOI DOI 10.1017/S2040618500033219
[7] SLOANE NJA, 1977, COMBINATORIAL SURVEY, P117
[8] [No title captured]

← 1 →