Chaoping Xing

Harald Niederreiter

This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Algebraic Geometry in Coding Theory and Cryptography

San Ling

Huaxiong Wang

Yeow Meng Chee

Zhenbo Guo

Fengjing Shao

Yuansheng Tang

This book constitutes the refereed proceedings of the Third International Workshop on Coding and Cryptology, IWCC 2011, held in Qingdao, China, May 30-June 3, 2011. The 19 revised full technical papers are contributed by the invited speakers of the workshop. The papers were carefully reviewed and cover a broad range of foundational and methodological as well as applicative issues in coding and cryptology, as well as related areas such as combinatorics.

Third International Workshop, IWCC 2011, Qingdao, China, May 30-June 3, 2011. Proceedings

Coding and Cryptology

Kwok Yan Lam

Eiji Okamoto

Asiacrypt’99 was held in Singapore on 14-18 November 1999. Asiacrypt is one of the major events in the cryptology research community. Asiacrypt’99, the ?fth annual Asiacrypt conference, was sponsored by the Asiacrypt Steering Comm- tee and the Centre for Systems Security of the National University of Singapore, and in cooperation with the International Association for Cryptology Research. As the Program Co-Chairs of Asiacrypt’99, we are extremely honored to or- nize this event, which showcases the state-of-the-art development of cryptology research at the conclusion of this millennium. This year, a total of 96 research papers were submitted to Asiacrypt’99. The portfolio of country of origin of submissions serves as a good indicator of the - ternational reputation of the conference. Countries from which submissions or- inated include: Australia, Belgium, China, Estonia, France, Germany, Greece, India, Iran, Japan, Korea, Norway, Russia, Saudi Arabia, Switzerland, Sin- pore, Spain, Taiwan, Thailand, The Netherlands, Turkey, Ukraine, UK, USA and Yugoslavia. Through a stringent refereeing process by the Program C- mittee, 31 papers of outstanding quality were accepted and are included in the conference proceedings. Accepted papers were authored by researchers from the following countries: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, UK, and USA.

International Conference on the Theory and Application of Cryptology and Information Security, Singapore, November 14-18, 1999 Proceedings

Advances in Cryptology - ASIACRYPT'99

Igor Shparlinski

"Contains the refereed proceedings of the Workshop on Cryptography and Computational Number Theory, CCNT'99, which has been held in Singapore during the week of November 22-26, 1999"--Preface, p. [vii].

Cryptography and Computational Number Theory

Gerhard Larcher

Friedrich Pillichshammer

Arne Winterhof

Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has been authored by close colleagues and leading experts to mark the occasion of his 70th birthday. The book provides a modern overview of different research areas, covering uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation. Many results are published here for the first time. The book serves as a useful starting point for graduate students new to these areas or as a refresher for researchers wanting to follow recent trends.

Applied Algebra and Number Theory

Tatsuaki Okamoto

Feng Bao

This book constitutes the refereed proceedings of the 6th International Conference on Cryptology and Network Security, CANS 2007, held in Singapore, in December 2007. The 17 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on signatures, network security, secure keyword search and private information retrieval, public key encryption, intrusion detection, email security, denial of service attacks, and authentication.

6th International Conference, CANS 2007, Singapore, December 8-10, 2007, Proceedings

Cryptology and Network Security

Chaoping Xing

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