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 ...

Define Finite Field Operations \ Implemen Barrett Reduction \ Introduction to Modular Exponentiation \ Introduction to Elliptic Curve Point Addition \ Point Addition on Elliptic Curve \ Point Doubling ...

Elliptic curve cryptography (ECC) has gained significant popularity due to its efficiency and security. Choosing the right elliptic curve is crucial for ensuring the robustness of your cryptographic ...

Структура программы/Program Structure Эта программа реализует нормализацию эллиптической кривой и вычисление таких математических параметров ...

We show that if E is an elliptic curve over Q with a Q-rational isogeny of degree 7, then the image of the 7-adic Galois representation attached to E is as large as allowed by the isogeny, except for ...

As numbers go, 1729, the Hardy-Ramanujan number, is not new to math enthusiasts. But now, this number has triggered a major discovery — on Ramanujan and the theory of what are known as elliptical ...

Motivated by the advantages of using elliptic curves for discrete logarithm-based public-key cryptography, there is an active research area investigating the potential of using hyperelliptic curves of ...

ABSTRACT: By interpreting multifractal L-function zero alignment as a decoherence process, the Riemann hypothesis is demonstrated to imply the emergence of classical phase space at zero alignment.