Beschreibung:
Henri Cohen, Gerhard Frey, Roberto Avanzi, Christophe Doche, Tanja Lange, Kim Nguyen, Frederik Vercauteren
This handbook is the first exhaustive study of virtually all of the mathematical aspects of curve-based public key cryptography. It provides a wealth of ready-to-use algorithms enabling fast implementation along with recommendations for selecting appropriate algorithms. The book also considers side-channel attacks and implementation aspects of smart cards. Broad, comprehensive coverage makes this a complete resource for elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.
Mathematical Background. Elementary Arithmetic. Arithmetic of Curves. Point Counting. Computation of Discrete Logarithms. Applications. Realizations of DL Systems. References.