Title
The Largest Cap in AG(4, 4) and Its Uniqueness
Abstract
We show that 40 is the maximum number of points of a cap in AG(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect product of an elementary abelian group of order 16 and the alternating group A5.
Year
DOI
Venue
2003
10.1023/A:1024144223076
Des. Codes Cryptography
Keywords
Field
DocType
largest cap,caps,semidirect product,group a5,codes,elementary abelian group,maximum number,linear transformation,abelian group,alternating group
Semidirect product,Outer automorphism group,Combinatorics,Automorphisms of the symmetric and alternating groups,Elementary abelian group,Perfect group,Solvable group,Dicyclic group,Mathematics,Alternating group
Journal
Volume
Issue
ISSN
29
1/3
1573-7586
Citations 
PageRank 
References 
5
0.84
4
Authors
2
Name
Order
Citations
PageRank
Yves Edel114117.61
Jürgen Bierbrauer233245.54