Cyclic Groups and the Discrete Logarithm: The Hard Math Behind Diffie-Hellman
We have explored Prime Numbers and Modular Arithmetic in previous articles. Now, we are ready to combine them to build […]
math
The Engines of Encryption: Fermat’s Little Theorem & Euler’s Theorem
If you have been following our series on the mathematics of cryptography, we have explored the “atoms” (Prime Numbers) and
The Extended Euclidean Algorithm: Cracking the Code of Modular Inverses
If the standard Euclidean algorithm is the “granddaddy” of algorithms, the Extended Euclidean Algorithm is its smarter, more versatile sibling.
The Euclidean Algorithm: The World’s Oldest Code
In the fast-paced world of modern computing, algorithms often become obsolete within a few years. However, one algorithm has stood
The Atoms of Mathematics: Prime Numbers, Factorization, and Distribution
In the vast universe of mathematics, few concepts are as simple to define yet as impossibly complex to master as
🌀 Modular Arithmetic: The World of Congruences and Modulo Operations
When we look at a clock, we unconsciously use one of the most fundamental tools in mathematics. If it is