The polynomial degree of the Grassmannian G1,n,2

被引：0

作者：

Shaw, R ^{[1
]}

Gordon, NA

机构：

[1] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England

[2] Univ Hull, Dept Comp Sci, Kingston Upon Hull HU6 7RX, N Humberside, England

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2006年 / 39卷 / 02期

关键词：

polynomial degree; subsets of PG(N; 2); Grassmannian G(1; n;

D O I：

10.1007/s10623-005-4524-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For a subset psi of PG(N, 2) a known result states that psi has polynomial degree <= r, r <= N, if and only if psi intersects every r-flat of PG(N, 2) in an odd number of points. Certain refinements of this result are considered, and are then applied in the case when psi is the Grassmannian G (l, n, 2) subset of PG (N, 2), N = ((n+ 1)(2)) -1, to show that for n < 8 the polynomial degree of G (l, n, 2) is ((n)(2))- 1.

引用

页码：289 / 306

页数：18

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