This is a pure Java implementation of the Elliptic Curve Digital Signature Algorithm (ECDSA). It is compatible with Java 8+ and OpenSSL. It uses elegant math such as Jacobian Coordinates to speed up ...
A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...
Quantum Binary Field Multiplication with Optimized Toffoli Depth and Extension to Quantum Inversion.
The Shor's algorithm can find solutions to the discrete logarithm problem on binary elliptic curves in polynomial time. A major challenge in implementing Shor's algorithm is the overhead of ...
Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.
One of the more interesting algorithms in number theory is the Fast Fourier transform (FFT). FFTs are a key building block in many algorithms, including extremely fast multiplication of large numbers, ...
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