Planar oval sets in Desarguesian planes of even order

被引：1

作者：

De Feyter, N ^{[1
]}

机构：

[1] State Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2004年 / 32卷 / 1-3期

关键词：

Laguerre plane; oval; planar oval set; (q plus t)-arc of type (0; 2; t);

D O I：

10.1023/B:DESI.0000029216.82297.fb

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A planar oval set in PG(2; q); q even, is a set of q(2) ovals in PG(2; q) with common nucleus which intersect pairwise in one point. We classify such sets satisfying an extra condition, namely the regular Desarguesian planar oval sets, as the sets which consist of the images of an oval under all elations with center the nucleus of that oval.

引用

页码：111 / 119

页数：9

共 50 条

[1] Planar Oval Sets in Desarguesian Planes of Even Order
Nikias de Feyter
[J]. Designs, Codes and Cryptography, 2004, 32 : 111 - 119
[2] Three families of multiple blocking sets in Desarguesian projective planes of even order
Anton Betten
Eun Ju Cheon
Seon Jeong Kim
Tatsuya Maruta
[J]. Designs, Codes and Cryptography, 2013, 68 : 49 - 59
[3] Three families of multiple blocking sets in Desarguesian projective planes of even order
Betten, Anton
Cheon, Eun Ju
Kim, Seon Jeong
Maruta, Tatsuya
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2013, 68 (1-3) : 49 - 59
[4] Arcs with large conical subsets in Desarguesian planes of even order
Coolsaet, Kris
Sticker, Heide
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (01):
[5] Oval designs in desarguesian projective planes
Carpenter, LL
[J]. CODES, DESIGNS AND GEOMETRY, 1996, : 47 - 55
[6] Blocking sets in desarguesian planes
Blokhuis, A
[J]. COMBINATORICS, PAUL ERDOS IS EIGHTY, VOL. 2, 1996, 2 : 133 - 155
[7] 2 NEW SEQUENCES OF OVALS IN FINITE DESARGUESIAN PLANES OF EVEN ORDER
GLYNN, DG
[J]. LECTURE NOTES IN MATHEMATICS, 1983, 1036 : 217 - 229
[8] Multiple blocking sets and multisets in Desarguesian planes
Aguglia, Angela
Korchmaros, Gabor
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2010, 56 (2-3) : 177 - 181
[9] BLOCKING SETS IN DESARGUESIAN PROJECTIVE-PLANES
BLOKHUIS, A
BROUWER, AE
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1986, 18 : 132 - 134
[10] Redei blocking sets in finite desarguesian planes
Sherman, BF
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2002, 98 (02) : 343 - 356

← 1 2 3 4 5 →