April 2016
Intermediate to advanced
461 pages
12h 1m
English
Content preview from Introduction to Cryptography with Open-Source Software
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Chapter 12
Elliptic curves and cryptosystems
This chapter will introduce:
• Elliptic curves over the reals: points arithmetic and the associated
group.
• Different coordinate representations of elliptic curves and their points.
• Elliptic curves over finite fields, including point counting.
• Elliptic curve cryptosystems, including the El Gamal system and the
Menezes–Vanstone variation.
• Signature schemes using elliptic curves.
• An introduction to pairing-based protocols using elliptic curves.
Although e lliptic curves and their associated mathematics have been stud-
ied intensively for a long time—for example they are central to Andrew Wiles’
proof of
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.