Title
The Jamison method in Galois geometries
Abstract
In a fundamental paper R.E. Jamison showed, among other things, that any subset of the points of AG(n, q) that intersects all hyperplanes contains at least n(q - 1) + 1 points. Here we show that the method of proof used by Jamison can be applied to several other basic problems in finite geometries of a varied nature. These problems include the celebrated flock theorem and also the characterization of the elements of GF(q) as a set of squares in GF(q2) with certain properties. This last result, due to A. Blokhuis, settled a well-known conjecture due to J.H. van Lint and the late J. MacWilliams.
Year
DOI
Venue
1991
10.1007/BF00123760
Des. Codes Cryptography
Keywords
Field
DocType
Data Structure,Information Theory,Varied Nature,Basic Problem,Discrete Geometry
Information theory,Discrete geometry,Discrete mathematics,Data structure,Combinatorics,Hyperplane,Conjecture,Mathematics
Journal
Volume
Issue
Citations 
1
3
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
A. A. Bruen1387.27
J. C. Fisher200.34