Handbook of elliptic and hyperelliptic curve cryptography: Part 1

Handbook of elliptic and hyperelliptic curve cryptography: Part 1 presents the following content: Chapter 1 introduction to public-key cryptography, chapter 2 algebraic background, chapter 3 background on p-adic numbers, chapter 4 background on curves and jacobians, chapter 5 varieties over special fields, chapter 6 background on pairings, chapter 7 background on weil descent, chapter 8 cohomological backgroundon point counting, chapter 9 exponentiation, chapter 10 integer arithmetic, chapter 11 finite field arithmetic, chapter 12 arithmetic of p-adic numbers, chapter 13 arithmetic of elliptic curves, chapter 14 arithmetic of hyperelliptic curves, chapter 15 arithmetic of special curves.