Binary block-codes of $MV$-algebras and Fibonacci sequences

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran.

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, the notion of an $M$-function and cut function on a set are introduced and investigated several properties. We use algebraic properties to introduce an algorithm which show that every finite $MV$-algebras and Fibonacci sequences determines a block-code and presented some connections between Fibonacci sequences, $MV$-algebras and binary block-codes. Furthermore, an $MV$-algebra arising from block-codes is established.

Keywords

References

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Algebraic Structures and Their Applications
Volume 9, Issue 2
August 2022
Pages 77-95

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