**EC Cryptography Tutorials - Herong's Tutorial Examples** - v1.00, by Dr. Herong Yang

About This Book

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**Title:** EC Cryptography Tutorials - Herong's Tutorial Examples

**Author:** Dr. Herong Yang -
Contact by email via herong_yang@yahoo.com.

**Category:** Cryptography/Tutorial

**Version/Edition:** v1.00, 2019

**Number of pages in PDF format:** 170

**Description:**
This EC (Elliptic Curve) cryptography tutorial book is a collection of notes and sample
codes written by the author while he was learning cryptography
technologies himself.
Topics include rule of chord and point addition on elliptic curves;
Abelian groups with additive and multiplicative notations;
Elliptic curves as Abelian groups;
DLP (Discrete Logarithm Problem) on elliptic curve groups;
Scalar mutliplication as trapdoor function;
Galois fields or finite fields with Additive Abelian Group and Multiplicative Abelian Group;
Prime fields, binary fields, and polynomial fields;
Subgroups and generators;
Ellipic curve fields reduced with modular arithmetic;
Ellipic curve subgroup and base points;
EC private key and public key pairs;
ECDH (Elliptic Curve Diffie-Hellman) Key Exchange protocol;
ECDSA (Elliptic Curve Digital Signature Algorithm);
Random number issue in ECDSA;
ECES (Elliptic Curve Encryption Scheme) using symmetric encryptions
with shared secret keys.

**Keywords:**
ECC, Elliptic Curve, Cryptography, Tutorial, Example.

**Copyright:**

- This book is under Copyright © 2019 by Dr. Herong Yang. All rights reserved.
- Material in this book may not be published, broadcasted, rewritten or redistributed in any form.
- The example codes is provided as-is, with no warranty of any kind.

**Revision history:**

- Version 1.00, 2019. Started with basics of ECC.

**Web version: **http://www.herongyang.com/EC-Cryptography -
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**PDF/EPUB version: **http://www.herongyang.com/EC-Cryptography/PDF-Full-Version.html -
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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)