TRI-WEIGHT CODES AND GENERALIZED HADAMARD MATRICES

被引：21

作者：

DELSARTE, P

GOETHALS, JM

机构：

[1] MBLE Research Laboratory, Brussels

来源：

INFORMATION AND CONTROL | 1969年 / 15卷 / 02期

关键词：

D O I：

10.1016/S0019-9958(69)90411-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The existence is shown of a set of (pm - 1) generalized Hadamard matrices H(p, p2m) of order p2m, each of which is symmetric and regular. When normalized to become unitary matrices, they form a multiplicative group of order pm, simply isomorphic to the additive group of GF(pm). The rows of these (pm - 1) matrices are shown to be the image, under the well-known isomorphic mapping relating the pth roots of unity to the elements of GF(p), of the set of vectors of a given weight in the tri-weight extended-BCH code of length p2m, dimension 3m + 1, and minimum weight (p - 1)p2m-1 - pm-1. © 1969 Academic Press, Inc.

引用

页码：196 / &

共 17 条

[1] A NEW CLASS OF CYCLIC CODES [J].