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

Joško  Mandić; Tanja  Vučičić

doi:10.3934/amc.2016025

Article Contents

2016, Volume 10, Issue 3: 547-554. Doi: 10.3934/amc.2016025

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

Joško Mandić^1, and
Tanja Vučičić^1,

1.
Faculty of Science, University of Split, Rudjera Boškovića 33, Split, 21000

Received: May 2015

Revised: June 2016

Published: August 2016

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Abstract

This paper concerns the problem of the existence of Hadamard difference sets in nonabelian groups of order 400. By introducing a new construction method, we construct new difference sets in 20 groups. We survey non-existence results, verifying non-existence in 45 groups.

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Mathematics Subject Classification: Primary: 05B05, 05B10.

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References

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