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Abstract: 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.
Keywords: BCK -function, x-functions, x-subsets, BCK -codes, binary linear block codes
Published in RUNG: 04.01.2022; Views: 1443; Downloads: 8
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