Operations of Points on Elliptic Curve in Affine Coordinates
In this article, we formalize in Mizar [1], [2] a binary operation of points on an elliptic curve over GF(p) in affine coordinates. We show that the operation is unital, complementable and commutative. Elliptic curve cryptography [3], whose security is based on a difficulty of discrete logarithm pro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-10-01
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| Series: | Formalized Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/forma-2019-0026 |
| Summary: | In this article, we formalize in Mizar [1], [2] a binary operation of points on an elliptic curve over GF(p) in affine coordinates. We show that the operation is unital, complementable and commutative. Elliptic curve cryptography [3], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security. |
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| ISSN: | 1426-2630 1898-9934 |