S3) Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word(X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3X; = X1 + X3X6 = X2 + X3A) Show that C is linear.B) Find a productive matrix for C.

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Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word (X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3 X5 = X1 + X3 X6 = X2 + X3 A) Show that C is linear. B) Find a productive matrix for C.

Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word (X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3 X5 = X1 + X3 X6 = X2 + X3 A) Show that C is linear. B) Find a productive matrix for C.

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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Question

S3)

Make a code c of length 6 as follows: For each (X,X2, X3)eF code the word
(X1, X2, X3, X4, X5, X6) € C whenever Xg = X1 + X2 + X3
X; = X1 + X3
X6 = X2 + X3
A) Show that C is linear.
B) Find a productive matrix for C.

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