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The need of exchanging messages and images secretly over unsecure networkspromoted the creation of cryptosystems to enable receivers to interpret theexchanged information. In this paper, a particular public key cryptosystemcalled the ElGamal Cryptosystem is presented considered with the help MATLABProgram to be used over Images. Since the ElGamal cryptosystem over a primitiveroot of a large prime is used in messages encryption in the free GNU PrivacyGuard software, recent versions of PGP, and other cryptosystems. This papershows a modification of the this cryptosystem by applying it over gray andcolor images. That would be by transforming an image into its correspondingmatrix using MATLAB Program, then applying the encryption and decryptionalgorithms over it. Actually, this modification gives one of the best imageencryptions that have been used since the encryption procedure over any imagegoes smoothly and transfers the original image to completely undefined imagewhich makes this cryptosystem is really secure and successful over imageencryption. As well as, the decryption procedure of the encrypted image worksvery well since it transfers undefined image to its original. Therefore, thisnew modification can make the cryptosystem of images more immune against somefuture attacks since breaking this cryptosystem depends on solving the discretelogarithm problem which is really impossible with large prime numbers .

Image Encryption and Decryption in A Modification of ElGamal Cryptosystem in MATLAB