  This paper classifies the derivations of group algebras in terms of the
generators and defining relations of the group.
  If $RG$ is a group ring, where $R$ is commutative and $S$ is a set of
generators of $G$ then necessary and sufficient conditions on a map from $S$ to
$RG$ are established, such that the map can be extended to an $R$-derivation of
$RG$.
  Derivations are shown to be trivial for semisimple group algebras of abelian
groups.
  The derivations of finite group algebras are constructed and listed in the
commutative case and in the case of dihedral groups.
  In the dihedral case, the inner derivations are also classified.
  Lastly, these results are applied to construct well known binary codes as
images of derivations of group algebras.
