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Finite Commutative Rings and Their Applications

Gilberto Bini
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      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 The section on Quasi-Galois rings presents new and unpublished results as well.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.
      Format: Paperback / softback CONTRIBUTORS: Gilberto Bini EAN: 9781461353232 COUNTRY: United States PAGES: WEIGHT: 302 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 2012-10-26 CITY: GENRE: COMPUTERS / Data Science / General, COMPUTERS / Information Theory, TECHNOLOGY & ENGINEERING / Electrical WIDTH: 155 cm SPINE:

      Book Themes:

      Information theory, Coding theory and cryptology, Discrete mathematics, Electrical engineering, Maths for computer scientists

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      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.
      Format: Paperback / softback CONTRIBUTORS: Gilberto Bini EAN: 9781461353232 COUNTRY: United States PAGES: WEIGHT: 302 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 2012-10-26 CITY: GENRE: COMPUTERS / Data Science / General, COMPUTERS / Information Theory, TECHNOLOGY & ENGINEERING / Electrical WIDTH: 155 cm SPINE:

      Book Themes:

      Information theory, Coding theory and cryptology, Discrete mathematics, Electrical engineering, Maths for computer scientists

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