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- Galois Fields and Galois Rings Made Easy

- Author : Maurice Kibler
- Publsiher : Elsevier
- Release : 22 September 2017
- ISBN : 0081023510
- Pages : 270 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Galois Fields and Galois Rings Made Easy written by Maurice Kibler which was release on 22 September 2017, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics. The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access. This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering). Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics. Contains numerous examples that accompany the text Includes an important chapter on mutually unbiased bases Helps physicists and theoretical chemists understand this area of mathematics

- Author : Maurice Kibler
- Publisher : Elsevier
- Release Date : 2017-09-22
- Total pages : 270
- ISBN : 0081023510

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**Summary :** This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics. The existing literature on rings and fields is primarily mathematical. ...

- Author : Frank Fitzek,Fabrizio Granelli,Patrick Seeling
- Publisher : Academic Press
- Release Date : 2020-05-20
- Total pages : 522
- ISBN : 0081023510

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**Summary :** Computing in Communication Networks: From Theory to Practice provides comprehensive details and practical implementation tactics on the novel concepts and enabling technologies at the core of the paradigm shift from store and forward (dumb) to compute and forward (intelligent) in future communication networks and systems. The book explains how to ...

- Author : Andreas Weber
- Publisher : MDPI
- Release Date : 2019-11-04
- Total pages : 160
- ISBN : 0081023510

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**Summary :** Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational ...

- Author : Philippe Gille,Tamás Szamuely
- Publisher : Cambridge University Press
- Release Date : 2017-08-10
- Total pages : 430
- ISBN : 0081023510

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**Summary :** The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results....

- Author : Prof. Bhushan Trivedi,Savita Gandhi,Dhiren Pandit
- Publisher : BPB Publications
- Release Date : 2021-09-22
- Total pages : 712
- ISBN : 0081023510

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**Summary :** Exploring techniques and tools and best practices used in the real world. KEY FEATURES ● Explore private and public key-based solutions and their applications in the real world. ● Learn about security protocols implemented at various TCP/IP stack layers. ● Insight on types of ciphers, their modes, and implementation issues. DESCRIPTION Cryptography ...

- Author : Andy R. Magid
- Publisher : CRC Press
- Release Date : 2014-07-14
- Total pages : 184
- ISBN : 0081023510

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**Summary :** The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new ...

- Author : Gilberto Bini,Flaminio Flamini
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- Total pages : 176
- ISBN : 0081023510

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**Summary :** Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The ...

- Author : J. van Lint,G. van der Geer
- Publisher : Birkhäuser
- Release Date : 2012-12-06
- Total pages : 85
- ISBN : 0081023510

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**Summary :** These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, 1987. In 1982 Tsfasman, Vladut and Zink, using algebraic geometry and ideas of Goppa, constructed a seqeunce of codes that exceed the Gilbert-Varshamov bound. The result was considered sensational. ...

- Author : Dieter Jungnickel,H. Niederreiter
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- Total pages : 490
- ISBN : 0081023510

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**Summary :** This volume represents the refereed proceedings of the Fifth International Conference on Finite Fields and Applications (F q5) held at the University of Augsburg (Germany) from August 2-6, 1999, and hosted by the Department of Mathematics. The conference continued a series of biennial international conferences on finite fields, following earlier conferences ...

- Author : Mustapha Lahyane, Edgar Martínez-Moro
- Publisher : American Mathematical Soc.
- Release Date : 2015-06-23
- Total pages : 240
- ISBN : 0081023510

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**Summary :** This volume contains the proceedings of the CIMPA Research School and Conference on Algebra for Secure and Reliable Communication Modeling, held from October 1-13, 2012, in Morelia, State of Michoacán, Mexico. The papers cover several aspects of the theory of coding theory and are gathered into three categories: general theory ...

- Author : David Eisenbud,Daniel R. Grayson,Mike Stillman,Bernd Sturmfels
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-14
- Total pages : 329
- ISBN : 0081023510

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**Summary :** This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. ...

- Author : Anonim
- Publisher : Unknown
- Release Date : 1982
- Total pages : 217
- ISBN : 0081023510

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**Summary :** Download or read online Proceedings of the Conference on Algebra and Geometry written by , published by which was released on 1982. Get Proceedings of the Conference on Algebra and Geometry Books now! Available in PDF, ePub and Kindle....

- Author : Kaiming Zhao
- Publisher : World Scientific
- Release Date : 2022-04-14
- Total pages : 200
- ISBN : 0081023510

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**Summary :** This book is intended as a textbook for a one-term senior undergraduate (or graduate) course in Ring and Field Theory, or Galois theory. The book is ready for an instructor to pick up to teach without making any preparations.The book is written in a way that is easy to ...

- Author : John W. Lawrence,Frank A. Zorzitto
- Publisher : Cambridge University Press
- Release Date : 2021-04-15
- Total pages : 212
- ISBN : 0081023510

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**Summary :** Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a ...

- Author : Fillia Makedon,Kurt Mehlhorn,T.. Papatheodorou,Paul Spirakis
- Publisher : Springer Science & Business Media
- Release Date : 1986
- Total pages : 328
- ISBN : 0081023510

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**Summary :** Download or read online VLSI Algorithms and Architectures written by Fillia Makedon,Kurt Mehlhorn,T.. Papatheodorou,Paul Spirakis, published by Springer Science & Business Media which was released on 1986. Get VLSI Algorithms and Architectures Books now! Available in PDF, ePub and Kindle....