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Rank Distance Bicodes and Their Generalization 1st Edition by W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu ISBN 9789390402236

  • SKU: BELL-2177474
Rank Distance Bicodes and Their Generalization 1st Edition by W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu ISBN 9789390402236
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Rank Distance Bicodes and Their Generalization 1st Edition by W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu ISBN 9789390402236 instant download after payment.

Publisher: Svenska fysikarkivet
File Extension: PDF
File size: 2.59 MB
Pages: 152
Author: W.B.Vasantha Kandasamy, F. Smarandache, N. Suresh Babu, R.S. Selvaraj
ISBN: 9185917125
Language: English
Year: 2010

Product desciption

Rank Distance Bicodes and Their Generalization 1st Edition by W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu ISBN 9789390402236 by W.b.vasantha Kandasamy, F. Smarandache, N. Suresh Babu, R.s. Selvaraj 9185917125 instant download after payment.

Rank Distance Bicodes and Their Generalization 1st Edition by W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu - Ebook PDF Instant Download/Delivery: 9789390402236
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ISBN 13: 9789390402236
Author: W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu

In this book the authors introduce the new notion of rank distance bicodes and generalize this concept to Rank Distance n-codes (RD n-codes), n, greater than or equal to three. This definition leads to several classes of new RD bicodes like semi circulant rank bicodes of type I and II, semicyclic circulant rank bicode, circulant rank bicodes, bidivisible bicode and so on. It is important to mention that these new classes of codes will not only multitask simultaneously but also they will be best suited to the present computerised era. Apart from this, these codes are best suited in cryptography.

Rank Distance Bicodes and Their Generalization 1st Table of contents:

Part I: The Fundamentals

  • Chapter 1: Preliminaries

    • 1.1 Basic Concepts of Linear Algebra

      • 1.1.1 Vector Spaces

      • 1.1.2 Linear Maps

      • 1.1.3 Bilinear Forms

      • 1.1.4 Tensor Products

    • 1.2 Finite Fields

    • 1.3 Some Topics in Coding Theory

      • 1.3.1 Linear Codes

      • 1.3.2 Duality

      • 1.3.3 The Singleton Bound

      • 1.3.4 The Gilbert-Varshamov Bound

  • Chapter 2: Rank Distance Codes

    • 2.1 Basic Definitions

    • 2.2 Properties of Rank Distance Codes

    • 2.3 The Singleton Bound for Rank Distance Codes

    • 2.4 The Duality of Rank Distance Codes

    • 2.5 Construction of Rank Distance Codes

    • 2.6 Decoding of Rank Distance Codes

Part II: Rank Distance Bicodes

  • Chapter 3: Introduction to Rank Distance Bicodes

    • 3.1 Basic Definitions

    • 3.2 The Singleton Bound for Rank Distance Bicodes

    • 3.3 The Duality of Rank Distance Bicodes

    • 3.4 Constructions of Rank Distance Bicodes

  • Chapter 4: The Decoding of Rank Distance Bicodes

    • 4.1 The Decoding Problem

    • 4.2 A Decoding Algorithm for Rank Distance Bicodes

    • 4.3 Performance Analysis

    • 4.4 Applications of Rank Distance Bicodes

Part III: Generalizations and Future Research

  • Chapter 5: Generalizations of Rank Distance Bicodes

    • 5.1 Introduction

    • 5.2 Rank Distance Tricodes

    • 5.3 Rank Distance m-Codes

    • 5.4 Properties of Rank Distance m-Codes

    • 5.5 Bounds for Rank Distance m-Codes

  • Chapter 6: Future Research Directions

    • 6.1 Applications in Cryptography

    • 6.2 Connections to Network Coding

    • 6.3 Open Problems and Challenges

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Tags: W B Vasantha Kandasamy, Florentin Smarandache, N Suresh Babu, Rank, Bicodes

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