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Title:Codes generated by ordered algebraic structures
Authors:Bordbar, Hashem (Author)
Files:URL https://sciforum.net/paper/view/10734
 
Language:English
Work type:Unknown ()
Tipology:1.12 - Published Scientific Conference Contribution Abstract
Organization:UNG - University of Nova Gorica
Abstract:Error-control codes are used to detect and correct errors that occur when data are trans-mitted across some noisy channel or stored on some medium. The study of error-control codes is called coding theory and emerged in 1948 by Claud Shannon's paper which demonstrated that by proper encoding of the data, errors induced by a noisy channel can be reduced to any desired level without sacrificing the rate of information transmission. Some algebraic structures, includes the study and discovery of various coding schemes, are used to increase the number of errors that can be corrected during data transmission. One of the classes of logical algebra is ordered algebras which were introduced by Imai and Iseki in 1966. In this note, I study the codes generating by the ordered algebraic structures such as BCK-algebras and BL-algebras. For this goal, symmetric rela-tions on these ordered structures facilitate us to design the correspondence codeword. Moreover, I show that the structure of ordered algebra and the code generated by it will be the same.
Keywords:coding theory, BCK-algebra, BL-algebra
Year of publishing:2021
Number of pages:1 str.
COBISS_ID:73640963 Link is opened in a new window
UDC:53
URN:URN:SI:UNG:REP:IEKKP8GU
Views:604
Downloads:121
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Record is a part of a monograph

Title:The 3rd International Conference on Symmetry [also] Symmetry 2021
Subtitle:8-13 August 2021, online
Publisher:MDPI
COBISS.SI-ID:73639683 New window
Place of publishing:[Basel]
Year of publishing:2021

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