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 Edel | 1 | 141 | 17.61 |
Jürgen Bierbrauer | 2 | 332 | 45.54 |