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," ...

Diffie-Hellman’s key-exchange method runs this kind of exponentiation protocol, with all the operations conducted in this way ...

Every encrypted connection you make online relies on a centuries-old mystery about prime numbers. This is the elegant ...

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 ...

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 ...

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 ...

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 ...

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 ...