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

Author(s):

Arsham Borumand Saeid * , Morteza Afshar Jahanshahi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Binary block-codes , Boolean algebras , Fibonacci sequences , $MV$-algebras

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:9 Issue: 2, Summer-Autumn 2022
Pages:
77 to 95
https://www.magiran.com/p2464799  
سامانه نویسندگان
  • Borumand Saeid، Arsham
    Corresponding Author (1)
    Borumand Saeid, Arsham
    Professor Pure Mathematics, Shahid Bahonar University of Kerman, کرمان, Iran
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