EC (Elliptic Curve) Key Pair

This chapter provides tutorial notes on EC (Elliptic Curve) key pair. Topics include definition of EC private and public key pair; example of elliptic curve and subgroup used to generate good EC key pair; using OpenSSL command line tool to generate EC key pairs.

EC Private and Public Key Pair

Is EC Private Key Secure

EC Private Key Example - secp256k1

Generate secp256k1 Keys with OpenSSL

EC Key in PEM File Format

EC Key File with Curve Name

Create EC Public Key File

Conclusion:

Table of Contents

 About This Book

 Geometric Introduction to Elliptic Curves

 Algebraic Introduction to Elliptic Curves

 Abelian Group and Elliptic Curves

 Discrete Logarithm Problem (DLP)

 Finite Fields

 Generators and Cyclic Subgroups

 Reduced Elliptic Curve Groups

 Elliptic Curve Subgroups

 tinyec - Python Library for ECC

EC (Elliptic Curve) Key Pair

 ECDH (Elliptic Curve Diffie-Hellman) Key Exchange

 ECDSA (Elliptic Curve Digital Signature Algorithm)

 ECES (Elliptic Curve Encryption Scheme)

 Terminology

 References

 Full Version in PDF/EPUB