Codes of BN-algebras generated by incidence vectors

In this study, the notion of a B N -valued function on a set and its related properties are investigated. We establish a code-based B N -algebra generated by incident vectors and discuss the associated generating matrix and parity-check matrix with in the context of B N -algebra coding. Furthermore, we introduce the concept of compatibility for sets of code words and develop an algorithm to identify codes with in a B N -algebra.