Current era is cyber era, mostly people are dependent on online task, to keep the message secure from the hackers and crackers there is need of strong cryptography. Hackers are becoming intelligent day by day to attack on data as per their experience gain. Cryptography is a private communication in the public world. A cryptosystem should be secure even if the attacker (intruder) knows all the details about the system, with the exception of secret key. After going into the details of various existing cryptographic algorithms, it is strongly felt that a new strong mechanism should be developed, so there is a need to develop a cryptographic algorithm which should be strong enough to crack. In this paper an attempt has been made to develop a new algorithm, based on matrix, Boolean operations and logarithmic function that will surely improve the overall security with higher efficiency.