ON P-RANK OF DESIGN MATRIX OF A DIFFERENCE SET

被引：50

作者：

MACWILLIAMS, FJ

MANN, HB

机构：

[1] Bell Telephone Laboratories, Murray Hill

[2] Mathematics Research Center, U. S. Army, University of Wisconsin, Madison

来源：

INFORMATION AND CONTROL | 1968年 / 12卷 / 5-6期

关键词：

D O I：

10.1016/S0019-9958(68)90534-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let A be the incidence matrix of a block design constructed from a relative difference set. Let rp be the rank mod p of A where p is a prime. In this paper we find inequalities for rp and determine rp completely in some cases, in particular when A is the incidence matrix of the hyperplanes of a projective or Euclidean geometry. An inequality for the p-rank of arbitrary balanced incomplete block designs is also obtained. © 1968 Academic Press Inc.

引用

页码：474 / +

页数：1

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