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Diffie-hellman was the first published public key algorithm that is used for secure key exchange mechanism. The purpose of algorithm is used to enable users to security exchange a key that can be used for subsequent encryption. This cryptographic problem ensure A (resp. B) that no other participants aside from B (resp. A) can learn any information about the agreed value and often also ensure A and B that their respective partner has actually computed this value. But this algorithm is no longer strong, since the key can be easily identified by discrete logarithmic approach. Hence, in order to strengthen this algorithm, the authors are going to generate private keys by their own mathematical equations.
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