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详细说明： Overview The book has a strong focus on efficient methods for finite field arithmetic
(Chapter 2) and elliptic curve arithmetic (Chapter 3). Next, Chapter 4 surveys the
known attacks on the ECDLP, and describes the generation and validation of domain
parameters and key pairs, and selected elliptic curve protocols for digital signature,
public-key encryption and key establishment. We chose not to include the mathemat-
ical details of the attacks on the ECDLP, or descriptions of algorit hms for counting
the points on an elliptic curve, because the relevant mathematics is quite sophisticated.
(Presenting these topics in a readable and concise form is a formidable challenge post-
poned for another day.) The choice of material in Chapters 2, 3 and 4 was heavily
influenced by the contents of ECC standards that have been developed by accred-
ited standards bodies, in particular the FIPS 186-2 standard for the Elliptic Curve
Digital Signature Algorithm (ECDSA) developed by the U.S. government’s National
Institute for Standards and Technology (NIST). Chapter 5 details selected aspects of
efficient implementations in software and hardware, and also gives an introduction to
side-channel attacks and their countermeasures. Although the coverage in Chapter 5
is admittedly narrow, we hope that the treatment provides a glimpse of engineering
considerations faced by software developers and hardware designers.
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