Introductory Essentials to Blockchain, Hashing and Graphs | Chapter 4 | Finite Abelian Groups, Elliptic Curves, Blockchain with Hashing and Graphs

 

The present study explains the reasons behind decentralization and introduces the basic concepts of blockchain technology with clear references to its key components, such as consensus mechanisms and peer-to-peer networks. An explanation of hashing is treated with different examples of classical algorithms, as this is very important in blockchain signatures. A brief introduction to graphs is also presented since they are used to develop decentralization and counterattacks. Finally, we introduce 16 exercises on these two elements.

Author(s) Details

Seddik Abdelalim
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Ilias Elmouki
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Noreddine Abghour
LIS Labs, FSAC, University Hassan II of Casablanca, Morocco.

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-992493-9-4/CH4

 

Introductory Essentials to Elliptic Curves| Chapter 3 | Finite Abelian Groups, Elliptic Curves, Blockchain with Hashing and Graphs

 

This study starts with some generalities on elliptic curves through the definitions of theWeierstrass equation and groups laws. Then, we provide our proof to Hasse’s theorem and we discuss its consequences. Finally, we discuss some applications of elliptic curves and their contributions to signatures, and the chapter introduces seventeen exercises on this topic.

 

 

Author(s) Details

Seddik Abdelalim
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Ilias Elmouki
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Noreddine Abghour
LIS Labs, FSAC, University Hassan II of Casablanca, Morocco.

 

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-992493-9-4/CH3