This chapter excerpted from Hardware Implementation of Finite-Field Arithmetic, gives an example of finite-field application—namely, the implementation of the scalar product (point multiplication) ...

Editor's note: See the original article on PurpleAlientPlanet. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems. Since I often have to ...

This project explores the basic properties of elliptic curves, especially in the context of elliptic curve cryptography (ECC). It includes an implementation of point addition and point doubling on an ...

Elliptic Curve Cryptography (ECC) is a public-key cryptography technique based on the algebraic structure of elliptic curves over finite fields. Select an elliptic curve equation ( y^2 = x^3 + ax + b ...

Post-quantum cryptography is rapidly evolving to counter threats posed by quantum computing, and elliptic curves combined with isogeny methodologies offer a promising avenue. This approach leverages ...

According to one of the world’s leading cryptographers, Bitcoin’s elliptic curve could have a secret backdoor, invalidating all underlying security. A Bitcoin public key is created by applying ...

“Elliptic curve cryptography (ECC), as one of the public key cryptography systems, has been widely applied to many security applications. It is challenging to implement a scalar multiplication (SM) ...