EC Cryptography Tutorials - Herong's Tutorial Examples - v1.02, by Dr. Herong Yang
ECDSA (Elliptic Curve Digital Signature Algorithm)
This chapter provides tutorial notes on ECDSA (Elliptic Curve Digital Signature Algorithm). Topics includes ECDSA digital signature generation process and verification process; security issue of the private key with same random number k is used; find possible public keys from a digital signature; installing pycoin Python library; using pycoin to generate and manage EC keys; using pycoin to generate and verify ECDSA digital signatures.
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ECDSA (Elliptic Curve Digital Signature Algorithm)
ECDSA Digital Signature Generation
ECDSA Digital Signature Verification
ECDSA Problem If k Used Twice
Find ECDSA Public Key from Signature
Download and Install pycoin
pycoin.ecdsa.ellipticcurve Module
pycoin.ecdsa.generator_secp256k1 Object
Generate EC Key Pair with pycoin.ecdsa
pycoin.ecdsa.ecdsa.sign() - Signature Generation
pycoin.ecdsa.ecdsa.sign() - Signature Verification
'openssl dgst' - Signing and Verification
Takeaways:
Table of Contents
Geometric Introduction to Elliptic Curves
Algebraic Introduction to Elliptic Curves
Abelian Group and Elliptic Curves
Discrete Logarithm Problem (DLP)
Generators and Cyclic Subgroups
tinyec - Python Library for ECC
ECDH (Elliptic Curve Diffie-Hellman) Key Exchange
►ECDSA (Elliptic Curve Digital Signature Algorithm)