This chapter excerpted from Hardware Implementation of Finite-Field Arithmetic, gives an example of finite-field application—namely, the implementation of the scalar product (point multiplication) ...

A basic feature of number theory, prime numbers are also a fundamental building block of computer science, from hashtables to cryptography. Everyone knows that a prime number is one that cannot be ...

An encryption method for transmitting data that uses key pairs, comprising one private and one public key. Public key cryptography is called "asymmetric encryption" because both keys are not equal. A ...

Enterprise security is at a crossroads. Attacks are more numerous and financially damaging, and tougher security standards are kicking in. IT departments are under enormous pressure from CIOs and ...

With 2024 fast becoming a pivotal year for quantum technologies, attention is turning to how quantum computers will soon be capable of easily cracking our current encryption standards. 'Harvest now, ...

The concluding words of Unsolved! are a call to action. Craig Bauer, a US mathematician and editor-in-chief of the journal Cryptologia, ends his hefty history of cryptography by noting that even as he ...