Codes, Cryptology and Curves with Computer Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Codes, Cryptology and Curves with Computer Algebra write by Ruud Pellikaan. This book was released on 2017-11-02. Codes, Cryptology and Curves with Computer Algebra available in PDF, EPUB and Kindle. This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.
Codes, Cryptology and Curves with Computer Algebra
Codes, Cryptology and Curves with Computer Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Codes, Cryptology and Curves with Computer Algebra write by Ruud Pellikaan. This book was released on 2017-11-02. Codes, Cryptology and Curves with Computer Algebra available in PDF, EPUB and Kindle. Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.
Rational Algebraic Curves
Rational Algebraic Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rational Algebraic Curves write by J. Rafael Sendra. This book was released on 2007-12-10. Rational Algebraic Curves available in PDF, EPUB and Kindle. The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.
Algebraic Geometry for Coding Theory and Cryptography
Algebraic Geometry for Coding Theory and Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry for Coding Theory and Cryptography write by Everett W. Howe. This book was released on 2017-11-15. Algebraic Geometry for Coding Theory and Cryptography available in PDF, EPUB and Kindle. Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference’s goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics write by Gert-Martin Greuel. This book was released on 2018-09-18. Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics available in PDF, EPUB and Kindle. This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
