THE DIMENSION OF PROJECTIVE GEOMETRY CODES

被引：6
|
作者：
CECCHERINI, PV
HIRSCHFELD, JWP
机构：
[1] UNIV SUSSEX,SCH MATH & PHYS SCI,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND
[2] UNIV ROME LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY
来源：
DISCRETE MATHEMATICS | 1992年 / 106卷
关键词：
D O I：
10.1016/0012-365X(92)90538-Q
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to make sense of Hamada's formula for the dimension of the code generated by the incidence matrix of points and subspaces of a given dimension in a finite projective space. The known results are surveyed and a successful guess is made for the dimension of the dual line code when the field has prime order. Van Lint's proof of the equivalence of the two formulas is given. A further guess on the meaning of the formula is also made and a simple proof due to Glynn is given.
引用
收藏
页码：117 / 126
页数：10
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