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- Titel:
Bounds in the Lee metric and optimal codes
- Dokumenttyp:
- Zeitschriftenaufsatz
- Autor(en):
- 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.
- Stichworte:
- Ring-linear codeLee distanceMaximum Lee distanceBoundsConstant weight codes
- Dewey Dezimalklassifikation:
- 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.
- Zeitschriftentitel:
- Finite Fields and Their Applications
- Jahr:
- 2023
- Band / Volume:
- 87
- Seitenangaben Beitrag:
- 102151
- Reviewed:
- ja
- Sprache:
- en
- Volltext / DOI:
- doi:10.1016/j.ffa.2022.102151
- WWW:
- https://www.sciencedirect.com/science/article/abs/pii/S1071579722001605?dgcid=coauthor
- Verlag / Institution:
- Elsevier BV
- E-ISSN:
- 1071-5797
- Status:
- Verlagsversion / published
- Publikationsdatum:
- 01.03.2023
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