  Let {\alpha} be a prime Hurwitz integer. H{\alpha}, which is the set of
residual class with respect to related modulo function in the rings of Hurwitz
integers, is a subset of H, which is the set of all Hurwitz integers. We
consider left congruent module {\alpha} and, the domain of related modulo
function in this study is ZN({\alpha}), which is residual class ring of
ordinary integers with N({\alpha}) elements, which is the norm of prime Hurwitz
integer {\alpha}. In this study, we present an algebraic construction
technique, which is a modulo function formed depending on two modulo
operations, for codes over Hurwitz integers. Thereby, we obtain the residue
class rings of Hurwitz integers with N({\alpha}) size. In addition, we present
some results for mathematical notations used in two modulo functions, and for
the algebraic construction technique formed depending upon two modulo
functions. Moreover, we present graphs obtained by graph layout methods, such
as spring, high-dimensional, and spiral embedding, for the set of the residual
class obtained with respect to the related modulo function in the rings of
Hurwitz integers.
