MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Hierarchical Models, Marginal Polytopes, and Linear Codes

Thomas Kahle, Walter Wenzel and Nihat Ay


In this paper, we explore a connection between binary hierarchical models, their marginal polytopes and codeword polytopes, the convex hulls of linear codes. The class of linear codes that are realizable by hierarchical models is determined. We classify all full dimensional polytopes with the property that their vertices form a linear code and give an algorithm that determines them.

MSC Codes:
52B11, 94B05, 60C05
0/1 polytopes, linear codes, hierarchical models, exponential families

Related publications

2009 Journal Open Access
Thomas Kahle, Walter Wenzel and Nihat Ay

Hierarchical models, marginal polytopes, and linear codes

In: Kybernetika, 45 (2009) 2, pp. 189-207