The notation (n, M, d) is used to represent a code with code length n, a total of M codewords, and minimum distance d. One of the major goals of coding theory is to develop codes that strike a balance between having a small n (for fast transmission of messages), a large M (to enable transmission of a wide variety of messages), and a large d (to detect many errors). Describe each of the following using the (n, M, d) notation: (a) C1-(0000, 1100, 0011, 1111} (b) C2={00000, 01101, 10110, 11011} 2

The notation (n, M, d) is used to represent a code with code length n, a total of M codewords, and minimum distance d. One of the major goals of coding theory is to develop codes that strike a balance between having a small n (for fast transmission of messages), a large M (to enable transmission of a wide variety of messages), and a large d (to detect many errors). Describe each of the following using the (n, M, d) notation: (a) C1-(0000, 1100, 0011, 1111} (b) C2={00000, 01101, 10110, 11011} 2

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The notation (n, M, d) is used to represent a code with code
length n, a total of M codewords, and minimum distance d.
One of the major goals of coding theory is to develop codes
that strike a balance between having a small n (for fast
transmission of messages), a large M (to enable
transmission of a wide variety of messages), and a large d
(to detect many errors). Describe each of the following
using the (n, M, d) notation:
(a) C1-(0000, 1100, 0011, 1111}
(b) C2={00000, 01101, 10110, 11011}
2

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