@article { author = {Afshar Jahanshahi, Morteza and Borumand Saeid, Arsham}, title = {Binary block-codes of $MV$-algebras and Fibonacci sequences}, journal = {Algebraic Structures and Their Applications}, volume = {9}, number = {2}, pages = {77-95}, year = {2022}, publisher = {Yazd University}, issn = {2382-9761}, eissn = {2423-3447}, doi = {10.22034/as.2022.2671}, 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}, url = {https://as.yazd.ac.ir/article_2671.html}, eprint = {https://as.yazd.ac.ir/article_2671_44948bbdbe7d58687905a00c5abfc0b8.pdf} }