EC Cryptography Tutorials - Herong's Tutorial Examples

∟Standard Elliptic Curves

This chapter provides tutorial notes on standard elliptic curves. Topics covered include a list of standard curves; domain parameters of some commonly used standard curves; generating and views private-public key pairs associated domain parameters.

What Are Standard Elliptic Curves

"openssl ecparam -list_curves" - Curves Supported by OpenSSL

"secp256r1" - For 256-Bit ECC Keys

"secp256k1" - For 256-Bit ECC Keys

"sect283r1" - For 256-Bit ECC Keys

"brainpoolP256r1"“ - For 256-Bit ECC Keys

"brainpoolP256t1"“ - For 256-Bit ECC Keys

Takeaways:

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)

 EC Cryptography in Java

►Standard Elliptic Curves

 Terminology

 References

 Full Version in PDF/EPUB