Repozitorij Univerze v Novi Gorici

Iskanje po repozitoriju
A+ | A- | Pomoč | SLO | ENG

Iskalni niz: išči po
išči po
išči po
išči po
* po starem in bolonjskem študiju

Opcije:
  Ponastavi


1 - 2 / 2
Na začetekNa prejšnjo stran1Na naslednjo stranNa konec
1.
The Structure of the Block Code Generated by a BL-Algebra
Hashem Bordbar, 2022, izvirni znanstveni članek

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
Objavljeno v RUNG: 07.03.2022; Ogledov: 1586; Prenosov: 44
.pdf Celotno besedilo (261,87 KB)

2.
BCK codes
Hashem Bordbar, 2022, izvirni znanstveni članek

Opis: In this paper, we initiate the study of the notion of the BC K -function on an arbitrary set A, and providing connections with x -functions and x -subsets for x ∈ X where X is a B C K -algebra. Moreover, using the notion of order in a B C K -algebra, the BCK-code C is introduced and besides a new structure of order in C is investigated. Finally, we show that the structure of the B C K -algebra X and the B C K -code C which is generated by X , with their related orders are the same.
Ključne besede: BCK -function, x-functions, x-subsets, BCK -codes, binary linear block codes
Objavljeno v RUNG: 04.01.2022; Ogledov: 1581; Prenosov: 8
URL Povezava na celotno besedilo
Gradivo ima več datotek! Več...

Iskanje izvedeno v 0.01 sek.
Na vrh