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Codes And Rings

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Codes and Rings

Codes and Rings Book
Author : Minjia Shi,Adel Alahmadi,Patrick Solé
Publisher : Academic Press
Release : 2017-06-12
ISBN : 0128133910
Language : En, Es, Fr & De

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Book Description :

Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature Discusses duality formulas in the context of Frobenius rings Reviews decomposition of quasi-cyclic codes under ring action Evaluates the ideal and modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Codes Over Rings

Codes Over Rings Book
Author : Anonim
Publisher : Unknown
Release : 2022-12-04
ISBN : 9814468991
Language : En, Es, Fr & De

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Book Description :

Download Codes Over Rings book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Rings Modules and Codes

Rings  Modules and Codes Book
Author : André Leroy,Christian Lomp,Sergio López-Permouth,Frédérique Oggier
Publisher : American Mathematical Soc.
Release : 2019-04-12
ISBN : 1470441047
Language : En, Es, Fr & De

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Book Description :

This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.

Coding Theory and Applications

Coding Theory and Applications Book
Author : Angela Barbero
Publisher : Springer Science & Business Media
Release : 2008-09-05
ISBN : 354087447X
Language : En, Es, Fr & De

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Book Description :

This book constitutes the refereed proceedings of the 2nd International Castle Meeting, ISMCTA 2008, Castillo de la Mota, Medina del Campo, Spain, September 2008. The 14 full papers and 5 invited papers presented were carefully reviewed and selected from 34 submissions for inclusion in the book. The papers cover network coding, quantum codes, group codes, codes and combinatorial structures, agebraic-geometry codes, as well as codes and applications.

The Woman Who Smashed Codes

The Woman Who Smashed Codes Book
Author : Jason Fagone
Publisher : HarperCollins
Release : 2017-09-26
ISBN : 0062430505
Language : En, Es, Fr & De

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Book Description :

National Bestseller NPR Best Book of the Year “Not all superheroes wear capes, and Elizebeth Smith Friedman should be the subject of a future Wonder Woman movie.” —The New York Times Joining the ranks of Hidden Figures and In the Garden of Beasts, the incredible true story of the greatest codebreaking duo that ever lived, an American woman and her husband who invented the modern science of cryptology together and used it to confront the evils of their time, solving puzzles that unmasked Nazi spies and helped win World War II. In 1916, at the height of World War I, brilliant Shakespeare expert Elizebeth Smith went to work for an eccentric tycoon on his estate outside Chicago. The tycoon had close ties to the U.S. government, and he soon asked Elizebeth to apply her language skills to an exciting new venture: code-breaking. There she met the man who would become her husband, groundbreaking cryptologist William Friedman. Though she and Friedman are in many ways the "Adam and Eve" of the NSA, Elizebeth’s story, incredibly, has never been told. In The Woman Who Smashed Codes, Jason Fagone chronicles the life of this extraordinary woman, who played an integral role in our nation’s history for forty years. After World War I, Smith used her talents to catch gangsters and smugglers during Prohibition, then accepted a covert mission to discover and expose Nazi spy rings that were spreading like wildfire across South America, advancing ever closer to the United States. As World War II raged, Elizebeth fought a highly classified battle of wits against Hitler’s Reich, cracking multiple versions of the Enigma machine used by German spies. Meanwhile, inside an Army vault in Washington, William worked furiously to break Purple, the Japanese version of Enigma—and eventually succeeded, at a terrible cost to his personal life. Fagone unveils America’s code-breaking history through the prism of Smith’s life, bringing into focus the unforgettable events and colorful personalities that would help shape modern intelligence. Blending the lively pace and compelling detail that are the hallmarks of Erik Larson’s bestsellers with the atmosphere and intensity of The Imitation Game, The Woman Who Smashed Codes is page-turning popular history at its finest.

Finite Commutative Rings and Their Applications

Finite Commutative Rings and Their Applications Book
Author : Gilberto Bini,Flaminio Flamini
Publisher : Springer Science & Business Media
Release : 2002-04-30
ISBN : 9781402070396
Language : En, Es, Fr & De

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Book Description :

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 book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background.

The Revised Codes of Montana of 1907

The Revised Codes of Montana of 1907 Book
Author : Montana
Publisher : Unknown
Release : 1916
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Revised Codes of Montana of 1907 book written by Montana, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Revised Codes of Montana of 1907 Constitutions

The Revised Codes of Montana of 1907  Constitutions Book
Author : Montana
Publisher : Unknown
Release : 1916
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Revised Codes of Montana of 1907 Constitutions book written by Montana, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Lunar Code

The Lunar Code Book
Author : Ken Ring
Publisher : Penguin Random House New Zealand Limited
Release : 2014-10-03
ISBN : 1775537420
Language : En, Es, Fr & De

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Book Description :

How you can forecast the weather by the moon. Weather forecasting by the moon has been practised for thousands of years and almanacs were once a common feature of rural life, foretelling storms, floods, and droughts. Ken Ring's mathematical theory that revives the old idea about the moon influencing the weather has provoked a great deal of public interest and debate, and The Lunar Code explains the science behind Ken's work - the mathematics, ancient divination techniques and recently discovered data from space research. This book tells how you, too, can forecast weather by the moon: * Discover how to interpret the coming weather from the moon's size, shape and appearance. * Predict for yourself weather-related disasters arriving in your region. * Enjoy moon-gazing, as humans have done since the beginning of time, but with a fresh perspective.

Hadamard Matrices and Their Applications

Hadamard Matrices and Their Applications Book
Author : K. J. Horadam
Publisher : Princeton University Press
Release : 2007
ISBN : 069111921X
Language : En, Es, Fr & De

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Book Description :

In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

Finite Fields and Applications

Finite Fields and Applications Book
Author : Gary L. Mullen,INTERNATIONAL CONFERENCE ON FINITE FIELD,Alain Poli
Publisher : Springer Science & Business Media
Release : 2004-03-19
ISBN : 3540213244
Language : En, Es, Fr & De

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Book Description :

This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004. The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.

Codebreaker Code Book

Codebreaker Code Book Book
Author : Prima Games
Publisher : Unknown
Release : 2006
ISBN : 9780761555162
Language : En, Es, Fr & De

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Book Description :

· Over 50,000 codes for more than 1,300 titles available for your PS2. · A world of codes is at your fingertips: Infinite ammo, invincibility, level skipping, and more are just a click away! · CodeBreaker is a software program that opens exclusive codes for PS2 games. The print version of the CodeBreaker Code Book includes this software; you'll need to purchase a CodeBreaker disc in order to use the eGuide.

The American Telephone Journal

The American Telephone Journal Book
Author : Anonim
Publisher : Unknown
Release : 1907
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The American Telephone Journal book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Concise Encyclopedia of Coding Theory

Concise Encyclopedia of Coding Theory Book
Author : W. Cary Huffman,Jon-Lark Kim,Patrick Solé
Publisher : CRC Press
Release : 2021-03-26
ISBN : 1351375105
Language : En, Es, Fr & De

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Book Description :

Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

The Mathematical Theory of Coding

The Mathematical Theory of Coding Book
Author : Ian F. Blake,Ronald C. Mullin
Publisher : Academic Press
Release : 2014-05-10
ISBN : 1483260593
Language : En, Es, Fr & De

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Book Description :

The Mathematical Theory of Coding focuses on the application of algebraic and combinatoric methods to the coding theory, including linear transformations, vector spaces, and combinatorics. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on self-dual and quasicyclic codes, quadratic residues and codes, balanced incomplete block designs and codes, bounds on code dictionaries, code invariance under permutation groups, and linear transformations of vector spaces over finite fields. The text then takes a look at coding and combinatorics and the structure of semisimple rings. Topics include structure of cyclic codes and semisimple rings, group algebra and group characters, rings, ideals, and the minimum condition, chains and chain groups, dual chain groups, and matroids, graphs, and coding. The book ponders on group representations and group codes for the Gaussian channel, including distance properties of group codes, initial vector problem, modules, group algebras, andrepresentations, orthogonality relationships and properties of group characters, and representation of groups. The manuscript is a valuable source of data for mathematicians and researchers interested in the mathematical theory of coding.

Amendment to Code of Fair Competition for the Ring Traveler Manufacturing Industry as Approved on December 13 1934

Amendment to Code of Fair Competition for the Ring Traveler Manufacturing Industry as Approved on December 13  1934 Book
Author : United States. National Recovery Administration
Publisher : Unknown
Release : 1934
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Amendment to Code of Fair Competition for the Ring Traveler Manufacturing Industry as Approved on December 13 1934 book written by United States. National Recovery Administration, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Rings and Factorization

Rings and Factorization Book
Author : David Sharpe
Publisher : CUP Archive
Release : 1987-08-28
ISBN : 9780521337182
Language : En, Es, Fr & De

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Book Description :

This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat's 'two-squares theorem'. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions. Second and third year undergraduates will find this a readable and enjoyable account of a subject lying at the heart of much of mathematics.

The Book of Five Rings Annotated

The Book of Five Rings  Annotated  Book
Author : Musashi Miyamoto
Publisher : Unknown
Release : 2021-05-03
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The Book of Five Rings is a text on kenjutsu and the martial arts in general, written by the Japanese swordsman Miyamoto Musashi around 1643.Written over three centuries ago by a Samurai warrior, the book has been hailed as a limitless source of psychological insight for businessmen-or anyone who relies on strategy and tactics for outwitting the competition.

The Revised Codes of Montana of 1921 Political code

The Revised Codes of Montana of 1921  Political code Book
Author : Montana
Publisher : Unknown
Release : 1921
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Revised Codes of Montana of 1921 Political code book written by Montana, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Code of Federal Regulations

Code of Federal Regulations Book
Author : Anonim
Publisher : Unknown
Release : 1992
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Special edition of the Federal Register, containing a codification of documents of general applicability and future effect ... with ancillaries.