Repozitorij Univerze v Novi Gorici

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Naslov:The Structure of the Block Code Generated by a BL-Algebra
Avtorji:ID Bordbar, Hashem, University of Nova Gorica (Avtor)
Datoteke:.pdf mathematics-10-00692.pdf (261,87 KB)
MD5: C0EDDEF72E2F85BF1A9E3594D726A0C1
 
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UNG - Univerza v Novi Gorici
Opis:Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties. For this goal, we initiate the study of the BL-function on a nonempty set P based on BL-algebra L, and by using that, l-functions and l-subsets are introduced for the arbitrary element l of a BL-algebra. In addition, by the mean of the l-functions and l-subsets, an equivalence relation on the BL-algebra L is introduced, and using that, the structure of the code generated by an arbitrary BL-algebra is considered. Some related properties (such as the length and the linearity) of the generated code and examples are provided. Moreover, as the main result, we define a new order on the generated code C based on the BL-algebra L, and show that the structures of the BL-algebra with its order and the correspondence generated code with the defined order are the same.
Ključne besede:BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Verzija publikacije:Objavljena publikacija
Leto izida:2022
Št. strani:11
Številčenje:5, 10
PID:20.500.12556/RUNG-7225 Novo okno
COBISS.SI-ID:99906819 Novo okno
DOI:https://doi.org/10.3390/math10050692 Novo okno
NUK URN:URN:SI:UNG:REP:JPBMBSBD
Datum objave v RUNG:07.03.2022
Število ogledov:1473
Število prenosov:42
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Gradivo je del zbornika

Naslov:No

Gradivo je del revije

Naslov:Mathematics(MDPI)
Leto izida:2022
ISSN:2227-7390

Licence

Licenca:CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
Opis:Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.
Začetek licenciranja:07.03.2022

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