1. The category of Algebraic Spaces We start with the category of schemes over a given
separated noetherian base scheme S (all mention of which will be suppressed) and take this …

E-commerce, a type of trading that occurs at a high frequency on the internet, requires
guaranteeing the integrity, authentication, and nonrepudiation of messages through long …

Cryptography plays a key role in ensuring the privacy and integrity of data and the security of
computer networks. Introduction to Modern Cryptography provides a rigorous yet accessible …

Background Elliptic curve cryptographic schemes were proposed independently in 1985 by
Neal Koblitz (Koblitz 1987) and Victor Miller (Miller 1986). They are the elliptic curve …

THE LEGACYFirst introduced in 1995, Cryptography: Theory and Practice garnered
enormous praise and popularity, and soon became the standard textbook for cryptography …

Public key cryptography is a major interdisciplinary subject with many real-world
applications, such as digital signatures. A strong background in the mathematics underlying …

Taniyama first suggested in the 1950's that a statement along these lines might be true, and
a precise conjecture was formulated by Shimura. A paper of Weil [Wei67] provided strong …

An Introduction to Cryptography | SpringerLink Skip to main content Advertisement SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart Book cover An …

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second
Edition develops the theory of elliptic curves to provide a basis for both number theoretic and …

Graphs drawn on two-dimensional surfaces have always attracted researchers by their
beauty and by the variety of difficult questions to which they give rise. The theory of such …