# Wajsberg algebras arising from binary block codes

## TL;DR

This paper explores the relationships between certain algebraic structures and binary block codes, establishing methods to associate codes with these algebras and proving some converse relationships.

## Contribution

It introduces a novel approach linking BCK-commutative bounded algebras, MV-algebras, and Wajsberg algebras to binary block codes, including conditions for reciprocal associations.

## Key findings

- Associations between algebraic structures and binary block codes established.
- Conditions under which the converse association holds proved.
- New framework for algebra-code correspondence proposed.

## Abstract

In this paper we presented some connections between BCK-commutative bounded algebras, MV-algebras, Wajsberg algebras and binary block codes. Using connections between these three algebras, we will associate to each of them a binary block code and, in some circumstances, we will prove that the converse is also true.