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cs.IT2023
Rank-Metric Codes and Their Parameters
Anina Gruica, Altan B. Kilic, Alberto Ravagnani
We present the theory of linear rank-metric codes from the point of view of their fundamental parameters. These are: the minimum rank distance, the rank distribution, the maximum r…
cs.IT2023
Knot Theory and Error-Correcting Codes
Altan B. Kilic, Anne Nijsten, Ruud Pellikaan +1
This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting c…
math.OC2023
The Service Rate Region Polytope
Gianira N. Alfarano, Altan B. Kilic, Alberto Ravagnani +1
We investigate the properties of a family of polytopes that naturally arise in connection with a problem in distributed data storage, namely service rate region polytopes. The serv…