A novel security approach in the information and communication with cryptanalysis

Abstract

Cryptography is used to provide the security to the information. At present various security algorithms are used by the users to protect their data from intruders. Even though, attacks are being done by the assailants on the data due to rapid growth of the technology as well as its diffidence also. Hence in this paper we proposed a security approach using unit fractions of the Linear Algebra i.e Hilbert Matrix. The main important properties of the Hilbert matrix are symmetric and positive definitive, which makes determinant of every sub matrix, is positive and useful to generate different cipher texts to the same plain text. It improves the security to the data by confusing the intruders. We show that the various properties that just differ by the standard security algorithms such as RSA. Cryptanalysis of the proposed algorithm shows that it is resistant to various attacks and stronger than existed encryption algorithms.