On blocking sets in affine planes

1984 ◽  
Vol 22 (2) ◽  
pp. 167-177 ◽  
Author(s):  
Luigia Berardi ◽  
Franco Eugeni
Keyword(s):  
Blocking Sets ◽  
Affine Planes

scholarly journals A New Lower Bound for the Size of an Affine Blocking Set

10.37236/7827 ◽  
2018 ◽  
Vol 25 (4) ◽  
Author(s):  
Maarten De Boeck ◽  
Geertrui Van de Voorde
Keyword(s):  
Lower Bound ◽  
Affine Plane ◽  
Blocking Set ◽  
Blocking Sets ◽  
Affine Planes ◽  
Set Of Points

A blocking set in an affine plane is a set of points $B$ such that every line contains at least one point of $B$. The best known lower bound for blocking sets in arbitrary (non-desarguesian) affine planes was derived in the 1980's by Bruen and Silverman. In this note, we improve on this result by showing that a blocking set of an affine plane of order $q$, $q\geqslant 25$, contains at least $q+\lfloor\sqrt{q}\rfloor+3$ points.

Dual blocking sets in projective and affine planes

1988 ◽  
Vol 27 (2) ◽  
Author(s):  
PeterJ. Cameron ◽  
Francesco Mazzocca ◽  
Roy Meshulam
Keyword(s):  
Blocking Sets ◽  
Affine Planes

scholarly journals Full Characterization of Minimal Linear Codes as Cutting Blocking Sets

2021 ◽  
pp. 1-1
Author(s):  
Chunming Tang ◽  
Yan Qiu ◽  
Qunying Liao ◽  
Zhengchun Zhou
Keyword(s):  
Linear Codes ◽  
Blocking Sets ◽  
Full Characterization

Erdélyi–Kober fractional integrals and radon transforms for mutually orthogonal affine planes

2020 ◽  
Vol 23 (4) ◽  
pp. 967-979
Author(s):  
Boris Rubin ◽  
Yingzhan Wang
Keyword(s):  
Fractional Integrals ◽  
Radon Transforms ◽  
Affine Planes ◽  
Inversion Formulas ◽  
Radial Functions ◽  
Compactly Supported ◽  
Radial Case ◽  
Compactly Supported Functions

AbstractWe apply Erdélyi–Kober fractional integrals to the study of Radon type transforms that take functions on the Grassmannian of j-dimensional affine planes in ℝn to functions on a similar manifold of k-dimensional planes by integration over the set of all j-planes that meet a given k-plane at a right angle. We obtain explicit inversion formulas for these transforms in the class of radial functions under minimal assumptions for all admissible dimensions. The general (not necessarily radial) case, but for j + k = n − 1, n odd, was studied by S. Helgason [8] and F. Gonzalez [4, 5] on smooth compactly supported functions.

Blocking sets in 3-designs

1989 ◽  
Vol 35 (1-2) ◽  
pp. 75-86 ◽  
Author(s):  
Mario Gionfriddo ◽  
Biagio Micale
Keyword(s):  
Blocking Sets

scholarly journals The size of m-irreducible blocking sets and of the sets of class [0,n1,…,nl]

2008 ◽  
Vol 308 (2-3) ◽  
pp. 180-183
Author(s):  
S. Rajola ◽  
M. Scafati Tallini
Keyword(s):  
Blocking Sets
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