Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound

被引：4

作者：

De Beule, J. ^{[1
]}

Metsch, K. ^{[1
,2
]}

Storme, L.

机构：

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

[2] Univ Giessen, Math Inst, D-35392 Giessen, Germany

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2008年 / 49卷 / 1-3期

关键词：

minihypers; Griesmer bound; blocking sets;

D O I：

10.1007/s10623-008-9191-9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present characterization results on non-weighted minihypers. For minihypers in PG(k-1,q), q not a square, we improve greatly the results of Hamada, Helleseth, and Maekawa, and of Ferret and Storme. The largest improvements are obtained for q prime.

引用

页码：187 / 197

页数：11

共 20 条

[1]

[Anonymous], MATH JPN

[2]

[Anonymous], MATH JAPONICA

[3] Multiple blocking sets and arcs in finite planes [J].

Ball, S .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 54 :581-593

[4]

Belov B. I., 1974, Problemy Peredaci Informacii, V10, P36

[5] Lacunary polynomials, multiple blocking sets and Baer subplanes [J].

Blokhuis, A ;

Storme, L ;

Szonyi, T .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 :321-332

[6]

Blokhuis A, 1994, B BELG MATH SOC SIMO, V1, P349

[7] BLOCKING SETS IN FINITE PROJECTIVE PLANES [J].

BRUEN, A .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 21 (03) :380-&

[8] POLYNOMIAL MULTIPLICITIES OVER FINITE-FIELDS AND INTERSECTION SETS [J].

BRUEN, AA .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1992, 60 (01) :19-33

[9]

DEBEULE J, ADV MATH COMMU UNPUB

[10] A classification result on weighted {δvμ+1, δvμ;: N,p3}-minihypers [J].

Ferret, S ;

Storme, L .

DISCRETE APPLIED MATHEMATICS, 2006, 154 (02) :277-293

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