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Algebraic Curves in Cryptography

2013-06-13 Computers
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Release : 2013-06-13
Genre : Computers
Kind : eBook
Book Rating : 476/5 ( reviews)

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Book Synopsis Algebraic Curves in Cryptography by : San Ling

Download or read book Algebraic Curves in Cryptography written by San Ling. This book was released on 2013-06-13. Available in PDF, EPUB and Kindle. Book excerpt: The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh

Algebraic Curves and Cryptography

2010 Computers
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Release : 2010
Genre : Computers
Kind : eBook
Book Rating : 117/5 ( reviews)

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Book Synopsis Algebraic Curves and Cryptography by : Vijaya Kumar Murty

Download or read book Algebraic Curves and Cryptography written by Vijaya Kumar Murty. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields the topics covered in this volume include Schoof's $\ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions.

Algebraic Curves and Finite Fields

2014-08-20 Mathematics
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Release : 2014-08-20
Genre : Mathematics
Kind : eBook
Book Rating : 554/5 ( reviews)

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Book Synopsis Algebraic Curves and Finite Fields by : Harald Niederreiter

Download or read book Algebraic Curves and Finite Fields written by Harald Niederreiter. This book was released on 2014-08-20. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.

Elliptic Curves and Their Applications to Cryptography

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 079/5 ( reviews)

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Book Synopsis Elliptic Curves and Their Applications to Cryptography by : Andreas Enge

Download or read book Elliptic Curves and Their Applications to Cryptography written by Andreas Enge. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems. Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention. Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.

Mathematics of Public Key Cryptography

2012-03-15 Computers
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Release : 2012-03-15
Genre : Computers
Kind : eBook
Book Rating : 925/5 ( reviews)

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Book Synopsis Mathematics of Public Key Cryptography by : Steven D. Galbraith

Download or read book Mathematics of Public Key Cryptography written by Steven D. Galbraith. This book was released on 2012-03-15. Available in PDF, EPUB and Kindle. Book excerpt: This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.

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