It's well known that the Bennett-Brassard algorithm or simply BB84 has the capability to carry out encrypted communications with the usage of principles of the Quantum Mechanics. The concept of sending encrypted information based in the BB84 is used in this paper where basically we implement the algorithm by using an orthogonal basis consisting in integer-order Bessel functions. In this paper we present a model of communications based in the BB84 protocol and Bessel functions. We follow the concept of sender and receiver without any eavesdropper by guaranteeing the full confidence of the exchange of information. However we introduce an inherent error to the action of communication that might be realizable in concrete scenarios of wireless communications.