On the existence of Hadamard difference sets in groups of order 400
Joško Mandić, Tanja Vučičić
Abstract
Joško Mandić, Tanja Vučičić
Abstract
This paper concerns the problem of the existence of Hadamard difference setsin nonabelian groups of order 400. By introducing a new construction method,we construct new difference sets in 20 groups. We survey non-existenceresults, verifying non-existence in 45 groups.
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This paper concerns the problem of the existence of Hadamard difference setsin nonabelian groups of order 400. By introducing a new construction method,we construct new difference sets in 20 groups. We survey non-existenceresults, verifying non-existence in 45 groups.
Key concepts: Mathematics, Hadamard transform, Order (exchange), Construct (python library), Pure mathematics, Group (periodic table), Significant difference, Mathematical analysis