A NOTE ON MATRIX RIGIDITY

被引:46
|
作者
FRIEDMAN, J [1 ]
机构
[1] HEBREW UNIV JERUSALEM,JERUSALEM,ISRAEL
关键词
AMS subject classification code (1991): 05 B; 05; C; 68; Q; 94; B;
D O I
10.1007/BF01303207
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we give an explicit construction of n x n matrices over finite fields which are somewhat rigid, in that if we change at most k entries in each row, its rank remains at least Cn(log(q) k)/k, where q is the size of the field and C is an absolute constant. Our matrices satisfy a somewhat stronger property, we will explain and call ''strong rigidity''. We introduce and briefly discuss strong rigidity, because it is in a sense a simpler property and may be easier to use in giving explicit construction.
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页码:235 / 239
页数:5
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