, Volume 50, Issue 2, pp 161-172,
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Date: 27 Oct 2012

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

Abstract

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.

This work was partly supported by JSPS KAKENHI 21240001 and 22300285.