Uniquely Optimal Codes of Low Complexity are Symmetric

Emily J. King; Dustin G. Mixon; Hans Parshall; Chris Wells

doi:10.56994/JXM.002.001.004

Uniquely Optimal Codes of Low Complexity are Symmetric

Authors

Emily J. King Colorado State University https://orcid.org/0000-0002-4099-3401
Dustin G. Mixon The Ohio State University https://orcid.org/0000-0003-2743-7010
Hans Parshall WellSense Health Plan https://orcid.org/0000-0001-5053-587X
Chris Wells Auburn University https://orcid.org/0000-0001-6327-578X

DOI:

https://doi.org/10.56994/JXM.002.001.004

Keywords:

Optimal codes, Symmetry, Low complexity, Compact metric spaces

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.

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Published

03/01/2026

How to Cite

King, E. J., Mixon, D. G., Parshall, H., & Wells, C. (2026). Uniquely Optimal Codes of Low Complexity are Symmetric. Journal of Experimental Mathematics, 2(1), 81–113. https://doi.org/10.56994/JXM.002.001.004