Asymmetric key Cryptography using Laplace Transform

Abstract

This paper presents a method of Asymmetric key cryptography using Laplace transform and inverse Laplace transform respectively on Maclaurin’s series to attain information and network Security. The public key and private key are used to encrypt and decrypt data in Asymmetric cryptography. Public and private key are generated using Encryption and Decryption algorithms with a numerical example. Frequency allocations of characters in plain text file and cipher text file with proposed algorithm are analyzed using bar diagrams. It has been observed that the repeated character in encipher file has same frequency while running ElGamal and RSA encryption algorithms but differ in proposed algorithm. Time complexity of each algorithm is tested for distinct file size and is presented in a suitable table. Statistical analysis for the proposed algorithm is performed using coefficient correlation and compared with ElGamal, RSA algorithms. All these tests ensure that the proposed algorithm provide network security and key recovery attack.