Uniquely optimal codes of low complexity are symmetric
Combinatorics
2025-12-25 v3 Information Theory
math.IT
Metric Geometry
Abstract
We formulate explicit predictions concerning the symmetry of optimal codes in compact metric spaces. This motivates the study of optimal codes in various spaces where these predictions can be tested.
Cite
@article{arxiv.2008.12871,
title = {Uniquely optimal codes of low complexity are symmetric},
author = {Emily J. King and Dustin G. Mixon and Hans Parshall and Chris Wells},
journal= {arXiv preprint arXiv:2008.12871},
year = {2025}
}