EC Cryptography Tutorials - Herong's Tutorial Examples

∟EC Cryptography in Java

This chapter provides tutorial notes on generating EC (Elliptic Curve) keys with Java technology. Topics covered include using 'keytool' command to generate EC private-public key pairs; selecting different name elliptic curves or key sizes; writing Java program to generate EC keys.

"keytool -keyalg EC" - Generate EC Key Pair

"keytool -groupname ..." - Select Curve Name

Java Program to Generate EC Keys

"Legacy SunEC curve disabled" Error

EC Curves Supported by Java

Takeaways:

• "keytool" is a cryptography tool provided in the JDK (Java Development Kit) package.
• "keytool -genkeypair -keyalg EC" generates EC private-public key pairs with the default elliptic curve, "secp256r1".
• "keytool -genkeypair -keyalg EC -groupname secp521r1" generates EC key pairs with the specified curve.
• "JavaKeyPair.java" is simple Java program to generate EC key pairs with different key sizes.

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

EC Cryptography in Java - Updated in 2022, by Dr. Herong Yang