Bounds on Sphere Sizes in the Sum-Rank Metric and Coordinate-Additive
Metrics
Bounds on Sphere Sizes in the Sum-Rank Metric and Coordinate-Additive
Metrics
This paper provides new bounds on the size of spheres in any coordinate-additive metric with a particular focus on improving existing bounds in the sum-rank metric. We derive improved upper and lower bounds based on the entropy of a distribution related to the Boltzmann distribution, which work for any coordinate-additive …