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- Title:
Bounds in the Lee metric and optimal codes
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- Byrne, Eimear; Weger, Violetta
- Abstract:
- In this paper we investigate known Singleton-like bounds in the Lee metric and characterize their extremal 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 extremal codes with regard to the new bound. Finally we fill a gap in the characterization of Lee-equidistant codes.
- Keywords:
- Ring-linear codeLee distanceMaximum Lee distanceBoundsConstant weight codes
- Dewey Decimal Classification:
- 510 Mathematik
- Horizon 2020:
- This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 899987.
- Journal title:
- Finite Fields and Their Applications
- Year:
- 2023
- Journal volume:
- 87
- Pages contribution:
- 102151
- Reviewed:
- ja
- Language:
- en
- Fulltext / DOI:
- doi:10.1016/j.ffa.2022.102151
- WWW:
- https://www.sciencedirect.com/science/article/abs/pii/S1071579722001605?dgcid=coauthor
- Publisher:
- Elsevier BV
- E-ISSN:
- 1071-5797
- Status:
- Verlagsversion / published
- Date of publication:
- 01.03.2023
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