2016•Advances in Mathematics of CommunicationsOpen access

On the existence of Hadamard difference sets in groups of order 400

Joško Mandić, Tanja Vučičić

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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.

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Available 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.

Key concepts: Mathematics, Hadamard transform, Order (exchange), Construct (python library), Pure mathematics, Group (periodic table), Significant difference, Mathematical analysis

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