The encryption protecting global banking, government communications, and digital identity does not fail when a quantum ...

Abstract: Several VLSI architectures for performing exponentiation in GF(2/sup m/) are presented. Two approaches to the architecture design are taken. In the first, all intermediate products of the ...

Earlier today I set you the following set of numerical challenges to celebrate the arrival of 2026. Auld lang signs Here is an expression equal to 26 that uses six 1s: (1+1)×(1+1+11) Find expressions ...

Abstract: Modular exponentiation is a vital function in public key cryptography. Dozens of protocols, including encryption schemes, signature schemes, pseudorandom functions, and more, perform this ...

Amateur mathematicians are closing in on an unimaginably huge number – one so large that it brushes up on the edge of what is even knowable within the framework of modern mathematics. It all stems ...

The team at Google has been developing new, more efficient algorithms, some of which involve building on work done with approximate modular exponentiation. The team has also been working to improve ...

A hot potato: Google has reignited debate over the future of digital security, revealing that the hardware needed to break widely used encryption could be closer than previously thought. The research, ...

Problem: Currently, the Java algorithm template does not include an efficient implementation of the fast exponentiation algorithm (also known as exponentiation by squaring). This algorithm is ...

Understanding the caret (^) symbol in programming is essential for working with exponentiation and bitwise operations, providing clarity in mathematical expressions and logical computations. The caret ...

Pi (π) is probably the most famous number in mathematics. Not only have experts studied it extensively, but it also fascinates amateurs: books, films and songs have been dedicated to the number. Part ...