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Importance of Elliptic Curves in Cryptography was independently proposed by Neal Koblitz and Victor Miller in 1985. Since then, Elliptic curve cryptography or ECC has evolved as a vast field for Public Key Cryptography (PKC) systems. In PKC system, the authors use separate keys to encode and decode the data. Since, one of the keys is distributed publicly in PKC systems, the strength of security depends on large key size. The mathematical problems of prime factorization and discrete logarithm are previously used in PKC systems. ECC has proved to provide same level of security with relatively small key sizes.
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