  The affine general linear group acting on a vector space over a prime field
is a well-understood mathematical object. Its elementary abelian regular
subgroups have recently drawn attention in applied mathematics thanks to their
use in cryptography as a way to hide or detect weaknesses inside block ciphers.
This paper is focused on building a convenient representation of their elements
which suits better the purposes of the cryptanalyst. Several combinatorial
counting formulas and a classification of their conjugacy classes are given as
well.
