August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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Chapter 13
Coding Theory
Learning Objectives
On completing this chapter, you will be able to:
define an encoding function
define the minimum distance of a code
calculate the minimum distance of a given code
define and identify group codes
calculate the maximum number of errors that can be detected by a given code
design codes that would detect a given number or fewer errors
calculate the maximum number of errors that can be corrected by a given code
decode strings using maximum likelihood procedure
design codes that would correct a given number or fewer errors
decode strings using the concept of a syndrome
13.1 INTRODUCTION AND PRELIMINARIES
Example 13.1
A globe-trotting CEO of a firm has four offices in India at Chennai, Mumbai, Kolkata ...
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