Neal Koblitz is a mathematician who, starting in the 1980s, became fascinated by mathematical questions in cryptography. In his article "The Uneasy Relationship Between Mathematics and Cryptography," ...

Forbes contributors publish independent expert analyses and insights. David Birch is a London-based advisor on digital financial services. Dec 06, 2024, 07:26am EST Dec 17, 2024, 09:58am EST Apple CEO ...

Introduction to ciphers and substitution. Alice and Bob and Carl and Julius: terminology and Caesar Cipher ; The key to the matter: generalizing the Caesar Cipher ; Multiplicative ciphers ; Affine ...

Cryptographers want encryption schemes that are impossible for tomorrow’s quantum computers to crack. There’s only one catch: they might not exist. When we check email, log in to our bank accounts, or ...

Recently, I co-authored and published a math paper that solved a 15-year-old mystery. But, unlike a book or a gadget, the work cannot be copyrighted or bought and sold. In fact, my co-author and I ...

Digital security depends on the difficulty of factoring large numbers. A new proof shows why one method for breaking digital encryption won’t work. My recent story for Quanta explained a newly proved ...

It all begins with mathematics really - the one true scientific language, so they say. Cryptography has been around as early as 4000 years ago, doing what it still does today - ensuring that secrets ...

A proposed mathematical proof that outlines the way information behaves in coded messages may have implications for black holes. The proof suggests that the radiation spit out by black holes may ...

Nigeria’s ability to safeguard its financial systems and digital communications rests heavily on the strength of mathematical ...

Cryptography is just about as old as written communication itself, and mathematics has long supplied methods for the cryptographic toolbox. Starting in the 1970s, increasingly sophisticated ...