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1.
Determining the Optimal Flows in Zero-Time Dynamic Networks
Ahmad Hosseini, Fardin Dashty Saridarq, 2012, original scientific article

Keywords: Linear algebra, Networks/graphs, Linear programming
Published in RUNG: 15.02.2023; Views: 1232; Downloads: 1
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2.
The Structure of the Block Code Generated by a BL-Algebra
Hashem Bordbar, 2022, original scientific article

Abstract: 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.
Keywords: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Published in RUNG: 07.03.2022; Views: 1636; Downloads: 45
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