Abstract
There are so many methods for the process of cryptography in literature. In this paper we present encryption and decryption method by using Laplace transform &Sumudu transform and their inverses. The purpose of using this method is for more security in communication as compared to other methods because cipher text obtained by this method could not be cracked by other persons easily. In the first part we apply Laplace transform to trigonometric cosine function for Sumudu transform for the same purpose.Fiinally we conclude by comparing these two methods.
Highlights
Cryptography is the science of making communications unintelligible to all except authorized parties
Published By: By operating Laplace transform to (2) we will obtain one equation containing some new variable in denominator and some values in the numerator
As decryption is the reverse process of encryption we can obtain plain text by applying I.L.T. of
Summary
Cryptography is the science of making communications unintelligible to all except authorized parties. ENCRYPTION & DECRYPTION OF GIVEN MESSAGE BY APPLYING LAPLACE TRANSFORM & INVERSE LAPLACE TRANSFORM. 2): the given plaintext in terms of H under the Laplace transform of can be converted to cipher text. 0 19 0 11 6 0 13 6 0 i.e. P A T A LGAN GA we may generalize the result for decryption given below R (3): The given cipher text with a given key Can be converted to plaintext under the inverse Laplace transform of where (5) Applying Sumudu transform to equation (5) we obtain S. ENCRYPTION & DECRYPTION OF GIVEN MESSAGE BY APPLYING SUMUDU TRANSFORM & INVERSE SUMUDUTRANSFORM. G(5): Let H H1 H H ,H be coefficients of the given plaintext in terms of Hi under the Sumudu transform of H
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