By extending the scope of the key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward ...

The road to post-quantum resilience is long, and organizations need to start now if they want to be secure by Q-day.

Select an elliptic curve equation ( y^2 = x^3 + ax + b ) with parameters ( a ) and ( b ), along with a large prime ( p ) (defining the finite field). Choose a base point ( G ) on the curve, which will ...

generator which works by solving the Winslow partial differential equations (Elliptic PDEs). It is capable of modifying the meshes with stretching functions and an orthogonality adjustment algorithm.

Levels of supply and demand for varying prices can be plotted on a graph as curves, and the intersection of these curves marks the equilibrium or market-clearing price at which demand equals ...

Abstract: This paper presents quantum cryptanalysis for binary elliptic curves from a time-efficient implementation perspective (i.e., reducing the circuit depth), complementing the previous research ...

The high-speed ECC Accelerator reaches to more than a thousand operations per second in a modern FPGA or ASIC. Furthermore, it covers all NIST P curve ...

Abstract: Pairing-based cryptography (PBC), a variant of elliptic curve cryptography (ECC), uses bilinear maps between elliptic curves and finite fields to enable several novel applications beyond ...

The course gives an introduction to elliptic curves, at central topic in number theory and in algebraic geometry with applications in data security/cryptography. Students admitted at UiO must apply ...