EC Cryptography Tutorials - Herong's Tutorial Examples

∟tinyec - Python Library for ECC

This chapter provides tutorial notes on 'tinyec' Python library for ECC. Topics include installing 'tinyec'; creating ec.Curve objects, performing point addition and scalar multiplication.

What Is tinyec

Download and Install tinyec

Build New Curves with tinyec

Perform Point Addition with tinyec

Find Subgroup with Point Addition

Set Subgroup Order to Higher Value

Takeaways:

• "tinyec" is a tiny Python library for ECC (Elliptic Curve Cryptography).
• "tinyec" is not suitable for production environment.
• You can verify if a point is on a curve or not with "tinyec". But you can not list points on a curve.
• You can perform addition of two given points on a curve with "tinyec".
• You can perform scalar multiplication of a given point on a curve with "tinyec". But you must set the subgroup order to a value greater than the group order.

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

tinyec - Python Library for ECC - Updated in 2024, by Herong Yang