The coding theory is an application of algebra that has become increasingly important over the decades. There are some different works that have been devoted to the problems of cryptography/cryptology. Cryptography is the study of sending and receiving secret messages. With the widespread use of information technologies and the rise of digital computer networks in many areas of the world, securing the exchange of information has become a crucial task. Currently, very active research is being done with electronic or communication applications. In the present paper an innovative technique for data encryption is proposed based on the random sequence generation using the recurrence matrices and a quadruple vector. The new algorithm provides data encryption at two levels and hence security against crypto analysis is achieved at relatively low computational overhead