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In this paper, we have defined a new discrete logarithm problem to be used composite modules discrete logarithm problem which is only used prime modules and we have constructed a new ElGamal cryptosystem based on the a new discrete logarithm problem. We have called the new system as Composite ElGamal cryptosystem. Then we made an application of Composite ElGamal cryptosystem to asymmetric cryptography and finally we have compared that Composite ElGamal cryptosystem and ElGamal cryptosystem in terms of cryptography and we have obtained that Composite ElGamal cryptosystem is more advantageous than ElGamal cryptosystem.
International Conference on Cyber Security and Computer Science
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C. ÖZYILMAZ
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