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Key pair generation in elliptic curve follows the same principles as the other algorithms, the main difference being that, unlike algorithms such as RSA, elliptic curve keys exist only in the context of a particular elliptic curve and require to have curve parameters associated with them to be of any use.


http://www.bouncycastle.org/wiki/display/JA1/Elliptic+Curve+Key+Pair+Generation+and+Key+Factories

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