👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect ...

Abstract: Modular inversion, the multiplicative inverse of an integer in the ring of integers modulo a prime number, is widely used in public-key cryptography. However, it is one of the most ...

Abstract: Computing Modular multiplicative inverse is an important step in many arithmetic algorithms used in Cryptography. For example, Montgomery modular multiplication [2] is required to find out ...

I started the bitcoin_math project in order to teach myself the basics of Bitcoin math from first principles, without having to wade through the source code of any of the crypto or "bignum" libraries ...

The security of Bitcoin, and other blockchains, such as Liquid, hinges on the use of digital signatures algorithms such as ECDSA and Schnorr signatures. A C library called libsecp256k1, named after ...

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 ...

Unlike traditional building methodologies, modular design offers a degree of flexibility, efficiency, and scalability that is rarely paralleled. The true measure of a modular residence's worth lies in ...

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.