In this paper, we study linear spaces of matrices defined over discretelyvalued fields . We take first steps into the theory ofrank-metric codes over discrete valuation rings by means of skew algebras derived from Galois extensions of rings . We modelprojectivizations of rank-metic codes via Mustafin varieties, which we then give sufficient conditions for a decrease in the dimension .

Author(s) : Yassine El Maazouz, Marvin Anas Hahn, Alessandro Neri, Mima Stanojkovski

Links : PDF - Abstract

Code :

Keywords : codes - rank - rings - metric - -

Leave a Reply

Your email address will not be published. Required fields are marked *