The classification of planar monomials over fields of prime square order
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Abstract:
Planar functions were introduced by Dembowski and Ostrom in 1968 to describe affine planes possessing collineation groups with particular properties. To date their classification has only been resolved for functions over fields of prime order. In this article we classify planar monomials over fields of order $p^2$ with $p$ a prime.References
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Additional Information
- Robert S. Coulter
- Affiliation: Department of Mathematical Science, 520 Ewing Hall, University of Delaware, Newark, Delaware 19716
- Received by editor(s): April 26, 2005
- Received by editor(s) in revised form: May 17, 2005
- Published electronically: May 12, 2006
- Communicated by: John R. Stembridge
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3373-3378
- MSC (2000): Primary 51E15, 11T06
- DOI: https://doi.org/10.1090/S0002-9939-06-08346-8
- MathSciNet review: 2231922