## MINAMI Kaori, NAKAGAWA Nobuo,

## On planar functions of elementary abelian $p$-group type.

## Hokkaido Mathematical Journal, 37 (2008) pp.531-544

### Fulltext

PDF### Abstract

We proved affine planes corresponding to quadratic planar functions over F_{p^n} are semifield planes, and we determined affine planes corresponding to planar functions f(x) = x^10 − αx^6 − α^2x^2 by Ding and Yuan. Moreover we calculated explicit shapes of planar functions from the square mappings of almost all known finite commutative semifields.

MSC(Primary) | 51E20 |
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MSC(Secondary) | |

Uncontrolled Keywords | planar function, projective plane, finite field, finite semifield, relative difference set, collineation group. |