6533b7d2fe1ef96bd125ebb0
RESEARCH PRODUCT
Some new Hadamard designs with 79 points admitting automorphisms of order 13 and 19
Dieter HeldMario Osvin Pavčevićsubject
Group (mathematics)Existential quantificationOrbit structureAutomorphismAction (physics)Automorphism groupOrbit structureTheoretical Computer ScienceCombinatoricsHadamard transformHadamard design; Automorphism group; Tactical decomposition; Orbit structureHadamard designDiscrete Mathematics and CombinatoricsOrder (group theory)Tactical decompositionHadamard matrixMathematicsdescription
Abstract We have proved that there exists at least 2091 mutually nonisomorphic symmetric (79,39,19)-designs. In particular, 1896 of them admit an action of the nonabelian group of order 57, and an additional 194 an action of the nonabelian group of order 39.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-07-01 | Discrete Mathematics |