John Wagnon discusses the basics and benefits of Elliptic Curve Cryptography (ECC) in this episode of Lightboard Lessons.
Check out this article on DevCentral that explains ECC encryption in more detail: https://community.f5.com/articles/real-cryptography-has-curves-making-the-case-for-ecc-20832
Corrections:
02:24 As we all know, a prime number only has itself and 1 as factors. So, if you multiply two numbers together, the resultant number will at least have the two numbers you multiplied as factors…thus not making it prime. Technically speaking, the product of the two prime numbers in RSA is called a “semiprime” number because its only factors are 1, itself, and two prime numbers.
00:12 - Public key crypto system
01:37 - Trapdoor functions
03:05 - Stronger security with smaller key sizes
04:35 - Elliptic curves are symmetric about the x-axis
05:57 - The dot function and intersecting points
07:20 - Ensuring data falls within limits
08:47 - Private key determination
10:08 - Trapdoor function revisited