Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

TikTok continues to be one of the fastest-growing social media apps worldwide, it have reached approximately 1.59 billion monthly active users. Due to TikTok’s great potential, many brands, ...

Crypto thrives on cutting-edge technology, but quantum computing could challenge the cryptographic foundations that keep Bitcoin secure. As quantum advancements accelerate, concerns about risks to ...

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 ...

Thomas Jefferson’s first draft of the Declaration of Independence read: “We hold these truths to be sacred and undeniable . . . ” It was supposedly Benjamin Franklin who suggested instead announcing ...

Yubico has released a security advisory addressing a side-channel vulnerability in Infineon’s cryptographic library, which several Yubico devices use. These devices include the YubiKey 5 Series, ...

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 ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...