Title of article :
Binary block-codes of MV-algebras and Fibonacci sequences
Author/Authors :
Borumand Saeid, Arsham Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran , Afshar Jahanshahi, Morteza Department of Mathematics - Faculty of Mathematics and Computer Science - Sirjan University of Technology, Sirjan, 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 -algebra arising from block-codes is established.
Keywords :
Binary block-codes , Boolean algebras , Fibonacci sequences , MV-algebras
Journal title :
Journal of Algebraic Structures and Their Applications
