TY - JOUR ID - 2671 TI - Binary block-codes of $MV$-algebras and Fibonacci sequences JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Afshar Jahanshahi, Morteza AU - Borumand Saeid, Arsham AD - Department of Mathematics, Faculty of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran. AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Y1 - 2022 PY - 2022 VL - 9 IS - 2 SP - 77 EP - 95 KW - Binary block-codes KW - Boolean algebras KW - Fibonacci sequences KW - $MV$-algebras DO - 10.22034/as.2022.2671 N2 - 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. UR - https://as.yazd.ac.ir/article_2671.html L1 - https://as.yazd.ac.ir/article_2671_44948bbdbe7d58687905a00c5abfc0b8.pdf ER -