Elliptic Curve Cryptography has gained momentum in application recently because of the relatively smaller key size to achieve the same level of security using another asymmetrical algorithm like RSA. For example, a key size of 3072 in RSA has the same strength as an ECC key size of 256. In this paper, you are going to explain the Elliptic Curve Algorithm and why the key size does not have to be large to provide acceptable level of security for todays computing needs.

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