Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar

Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama · Journal of Automated Reasoning · 2012

In this paper, we introduce our formalization of the definitions and theorems related to an elliptic curve over a finite prime field. The elliptic curve is important in an elliptic curve cryptosystem whose security is based on the computational complexity of the elliptic curve discrete logarithm problem.

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