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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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc252f116-bdb5-4bc6-b0b0-29190f573a0f%2F19137c4f-2b86-467d-9a7f-07c2599bee4a%2Fz686nqa_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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