A 2-D Affine Geometry constructed over a Finite Field. For a Field of size , the affine plane consists of the set of points which are ordered pairs of elements in and a set of lines which are themselves a set of points. Adding a Point at Infinity and Line at Infinity allows a Projective Plane to be constructed from an affine plane. An affine plane of order is a Block Design of the form (, , 1). An affine plane of order exists Iff a Projective Plane of order exists.

**References**

Lindner, C. C. and Rodger, C. A. *Design Theory.* Boca Raton, FL: CRC Press, 1997.

© 1996-9

1999-05-25