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Montgomery curves and their arithmetic: The case of large characteristic fields
Montgomery curve Montgomery ladder elliptic curve cryptography
2017/3/6
Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's ECM factorization algorithm. Since then, his curves and the algorithms associated with them have become foundat...
Generating genus two hyperelliptic curves over large characteristic finite fields
hyperelliptic curve point counting
2009/6/9
In hyperelliptic curve cryptography, finding a suitable hyperelliptic
curve is an important fundamental problem. One of necessary
conditions is that the order of its Jacobian is a product of a large...