planar functions
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2021 ◽  
Vol 573 ◽  
pp. 712-740
Author(s):  
Yubo Li ◽  
Kangquan Li ◽  
Longjiang Qu ◽  
Chao Li

2019 ◽  
Vol 52 (2) ◽  
pp. 187-213 ◽  
Author(s):  
Daniele Bartoli ◽  
Marco Timpanella
Keyword(s):  

Author(s):  
Lilya Budaghyan ◽  
Marco Calderini ◽  
Claude Carlet ◽  
Robert Coulter ◽  
Irene Villa

2017 ◽  
Vol 10 (2) ◽  
pp. 235-249 ◽  
Author(s):  
Nurdagül Anbar ◽  
Wilfried Meidl
Keyword(s):  

2017 ◽  
Vol 29 (4) ◽  
Author(s):  
Rocco Trombetti ◽  
Yue Zhou

AbstractA finite shift plane can be equivalently defined via abelian relative difference sets as well as planar functions. In this paper, we present a generic way to construct unitals in finite shift planes of odd square order. We investigate various geometric and combinatorial properties of these planes, such as the self-duality, the existence of O’Nan configurations, Wilbrink’s conditions, the designs formed by circles and so on. We also show that our unitals are inequivalent to the unitals derived from unitary polarities in the same shift planes. As designs, our unitals are also not isomorphic to the classical unitals (the Hermitian curves).


2017 ◽  
Vol 11 (2) ◽  
pp. 293-299 ◽  
Author(s):  
Kanat Abdukhalikov ◽  
◽  
Sihem Mesnager ◽  

2015 ◽  
Vol 78 (1) ◽  
pp. 141-195 ◽  
Author(s):  
Alexander Pott
Keyword(s):  

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