Abstract: The geometric construction of a
-net is known, see for example [2] and [4]. In this paper, we discuss the
algebraic presentation of a very important type of symmetric nets, which is
called classical symmetric nets, and begin by giving the algebraic presentation
of the classical
-nets, where q is a prime power and
then provide its generalization to get the algebraic presentation of classical
symmetric
-nets, where q is a prime power and is integer. Finally, we give the
generalization of this construction.
Keywords and phrases: affine and projective planes, affine design, classical net.
