World Library  


QR link for Erasure Techniques in MRD Codes
Open EEWOWW
Add to Book Shelf
Flag as Inappropriate
Email this Book

Erasure Techniques in MRD Codes

By Smarandache, Florentin

Click here to view

Book Id: WPLBN0002828250
Format Type: PDF (eBook)
File Size: 3.11 mb
Reproduction Date: 7/18/2013

Title: Erasure Techniques in MRD Codes  
Author: Smarandache, Florentin
Volume:
Language: English
Subject: Non Fiction, Education, Algebra
Collections: Mathematics, Algebra, Technology, Arithmetic, Authors Community, Math, Education, Most Popular Books in China, Fine Arts, Literature, Law
Historic
Publication Date:
2013
Publisher: World Public Library

Citation

APA MLA Chicago

Smarandache, F., & Vasantha Kandasamy, W. B. (2013). Erasure Techniques in MRD Codes. Retrieved from http://self.gutenberg.org/


Description
In this book the authors study the erasure techniques in concatenated Maximum Rank Distance (MRD) codes. The authors for the first time in this book introduce the new notion of concatenation of MRD codes with binary codes, where we take the outer code as the RD code and the binary code as the inner code.

Summary
The concatenated code consists of the codewords of the outer code expressed in terms of the alphabets of the inner code. These new class of codes are defined as CRM codes. This concatenation techniques helps one to construct any CRM code of desired minimum distance which is not enjoyed by any other class of codes.

Excerpt
We want to find efficient algebraic methods to improve the realiability of the transmission of messages. In this chapter we give only simple coding and decoding algorithms which can be easily understood by a beginner. Binary symmetric channel is an illustration of a model for a transmission channel. Now we will proceed onto define a linear code algebraically.

Table of Contents
Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two ALGEBRAIC LINEAR CODES AND THEIR PROPERTIES 29 Chapter Three ERASURE DECODING OF MAXIMUM RANK DISTANCE CODES 49 3.1 Introduction 49 3.2 Maximum Rank Distance Codes 51 3.3 Erasure Decoding of MRD Codes 54 Chapter Four MRD CODES –SOME PROPERTIES AND A DECODING TECHNIQUE 63 4.1 Introduction 63 4.2 Error-erasure Decoding Techniques to MRD Codes 64 4.3 Invertible q-Cyclic RD Codes 83 4.4 Rank Distance Codes With Complementary Duals 101 4.4.1 MRD Codes With Complementary Duals 103 4.4.2 The 2-User F-Adder Channel 106 4.4.3 Coding for the 2-user F-Adder Channel 107 Chapter Five EFFECTIVE ERASURE CODES FOR RELIABLE COMPUTER COMMUNICATION PROTOCOLS USING CODES OVER ARBITRARY RINGS 111 5.1 Integer Rank Distance Codes 112 5.2 Maximum Integer Rank Distance Codes 114 Chapter Six CONCATENATION OF ALGEBRAIC CODES 129 6.1 Concatenation of Linear Block Codes 129 6.2 Concatenation of RD Codes With CR-Metric 140 FURTHER READING 153 INDEX 157 ABOUT THE AUTHORS 161


 

Click To View

Additional Books


  • Родени Убийци (by )
  • Small Lie, Big Trouble (by )
  • Partners in Crime (by )
  • The Middle Grounds (by )
  • The Demon from Under the Deep (by )
  • Survival (by )
  • Jessica Marks (by )
  • Lead US to the Light (by )
  • Lost Souls (by )
  • Power Watcher (by )
  • Running from Home (by )
  • The Time Keeper (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.