COMPUTING DISTANCE DISTRIBUTIONS OF SPHERICAL DESIGNS

被引：11

作者：

BOYVALENKOV, P

机构：

[1] Institute of Mathematics Bulgarian Academy of Sciences, 1113 Sofia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 226卷

关键词：

D O I：

10.1016/0024-3795(95)00153-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find the distance distributions of a class of spherical codes and designs. In particular, we prove nonexistence of a class of tight spherical 4- and 5-designs. Uniqueness up to isometry of the tight spherical 4-design on S-5 (with 27 points) is proved.

引用

页码：277 / 286

页数：10

共 14 条

[1]

ABRAMOWITZ M., 1972, HDB MATH FUNCTIONS, V55

[2]

ASKEYY R, 1975, REGIONAL C LECT APPL, V21

[3] UNIQUENESS OF CERTAIN SPHERICAL CODES [J].

BANNAI, E ;

SLOANE, NJA .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1981, 33 (02) :437-449

[4] TIGHT SPHERICAL DESIGNS .1. [J].

BANNAI, E ;

DAMERELL, RM .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1979, 31 (01) :199-207

[5] TIGHT SPHERICAL DESIGNS, .2. [J].

BANNAI, E ;

DAMERELL, RM .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1980, 21 (FEB) :13-30

[6]

Bannai E., 1984, ALGEBRAIC COMBINATOR

[7]

BANNAI E, 1986, LONDON MATH SOC LECT, V131, P13

[8]

BANNAI E, 1984, J LONDON MATH SOC

[9]

Conway J., 1988, SPHERE PACKING LATTI

[10]

DELSARTE P, 1975, PHILIPS RES REP, V30, P91

← 1 2 →