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Update 08_Elliptic_Curve_Key_Pair_Generation.md

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crypto/challenges/08_Elliptic_Curve_Key_Pair_Generation.md
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Certainly! Here's the complete content for challenge 8, `08_Elliptic_Curve_Key_Pair_Generation.md`, including the introduction, challenge instructions, answer, and code.
```markdown
# Elliptic Curve Key Pair Generation # Elliptic Curve Key Pair Generation
**Level:** Intermediate **Level:** Intermediate
@ -85,6 +82,3 @@ Public Key: (15, 13)
``` ```
This code defines functions to add and multiply points on an elliptic curve over a finite field. Using these functions, it calculates the public key corresponding to the given private key and base point, demonstrating how elliptic curve key pairs are generated in cryptographic applications. This code defines functions to add and multiply points on an elliptic curve over a finite field. Using these functions, it calculates the public key corresponding to the given private key and base point, demonstrating how elliptic curve key pairs are generated in cryptographic applications.
```
This file provides a comprehensive explanation and solution for the challenge, giving students a practical example of how elliptic curve cryptography can be used to generate key pairs.