There’s a rather beautiful algorithm for finding the greatest common divisor of two positive integers. For example, the greatest common divisor of 120 and 105 is 15. It’s clear that 15 is a divisor of ...

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 ...

The YubiKey 5, the most widely used hardware token for two-factor authentication based on the FIDO standard, contains a cryptographic flaw that makes the finger-size device vulnerable to cloning when ...

The Utils.modInv function internally uses 26 as the modulus rather than the argument y. The bug is not externally visible because it's used in the Affine Decode operation, which uses an alphabet with ...

The brand-new spacecraft Euclid has beamed back its first commissioning images from space, thus bringing scientists closer to understanding dark matter and dark energy. The news might feel like a ...

Abstract: In this paper an improved architecture of Extended-Euclidean Algorithm (EEA) for finding Modular Multiplicative Inverse (MMI) and Jacobi symbol is proposed. Implementation is done using ...