New Symmetric key Cryptography Algorithm using simple Logarithm and Binary digits

Efficient cryptographic algorithms have been used for securing data communication. It is considered as one of the best tools to help people to protect their valuable information from cryptanalysts when it is stored or transmitted via insecure communication channels. Now in the modern world this number of trial runs may not be impossible for the hacker. To get rid of this problem here the authors suggest a new symmetric key algorithm. This paper proposes a symmetric key cryptosystem based on thesimple mathematical logarithm function. The proposed system benefits from the algebraic properties of logx such as non-commutative, high computational speed and high flexibility in selecting keys which make the Discrete Logarithm Problem. Also the encrypted text converted into binary numbers to make harder to understand by the backer. This method will be suitable in any business house, government sectors, communication network, defense network system, sensor networks etc.