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As both standalone and networked computing capabilities continue to grow in-line with Moore’s law, key sizes for the most widely used public-key cryptographic systems have to grow disproportionately fast. This trend makes a switch to elliptic-curve cryptography (ECC) more and more attractive.
Unfortunately, ECC has a reputation for being difficult to understand. And this reputation, deserved or not, deters many from exploring the principles on which it is based.
The basic principles, on the other hand, are easily understood by anyone who studied mathematics through high school. And a wider understanding of the basics will result in a wider circle of informed discussion. This white paper dispels the myth that knowledge of ECC is out of reach to all but the mathematical elite.