Bounds in the Lee Metric and Optimal Codes
Information Theory
2021-12-14 v1 math.IT
Abstract
In this paper we investigate known Singleton-like bounds in the Lee metric and characterize optimal codes, which turn out to be very few. We then focus on Plotkin-like bounds in the Lee metric and present a new bound that extends and refines a previously known, and out-performs it in the case of non-free codes. We then compute the density of optimal codes with regard to the new bound. Finally we fill a gap in the characterization of Lee-equidistant codes.
Cite
@article{arxiv.2112.06635,
title = {Bounds in the Lee Metric and Optimal Codes},
author = {Eimear Byrne and Violetta Weger},
journal= {arXiv preprint arXiv:2112.06635},
year = {2021}
}