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\title{Diophantine Equations\thanks{%
  This work is supported by the Austrian Science Fund (FWF): project P27502.}}
\author{%
  Florian Meßner \and
  Julian Parsert \and
  Jonas Schöpf \and
  Christian Sternagel}
\maketitle

\begin{abstract}
In this entry we formalize Huet's~\cite{Huet1978} bounds for minimal solutions
of homogenous linear Diophantine equations (HLDEs). Based on these bounds, we
further provide a certified algorithm for computing the set of all minimal
solutions of a given HLDE.
\end{abstract}

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