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a9 = 9, a

a9 = 9, a

Database System Concepts
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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Suppose a8 = 8, a9 = 9, a10 = 10
part (d) (e) (f)

5. Consider a system with a binary block code. Convert ag to a column vector according to the following table. 5 а. 1 3 4 町 [0] Similarly convert ag, a10- b. Form the following generator matrix using the vectors obtained in part a. [1 0 0 1 0 1 G = |0 1 1 1 0 0 Lo 1 0 0 1 1 vector from as vector from a, c. Determine the minimum weight of the binary linear block code determined by the generator matrix in part b. Determine a parity matrix H for the code. Transpose the vector obtained from a10 to obtain a data vector. Encode the d. e. data vector with G in part b to get the codeword c. Suppose the second bit of e is received in error. Write down the received f. vector. Determine a partial syndrome table that shows all single errors (You don't g. need to consider patterns with two or more errors.) h. Perform syndrome decoding on the received vector in part f to obtain the correct codeword.
Transcribed Image Text:5. Consider a system with a binary block code. Convert ag to a column vector according to the following table. 5 а. 1 3 4 町 [0] Similarly convert ag, a10- b. Form the following generator matrix using the vectors obtained in part a. [1 0 0 1 0 1 G = |0 1 1 1 0 0 Lo 1 0 0 1 1 vector from as vector from a, c. Determine the minimum weight of the binary linear block code determined by the generator matrix in part b. Determine a parity matrix H for the code. Transpose the vector obtained from a10 to obtain a data vector. Encode the d. e. data vector with G in part b to get the codeword c. Suppose the second bit of e is received in error. Write down the received f. vector. Determine a partial syndrome table that shows all single errors (You don't g. need to consider patterns with two or more errors.) h. Perform syndrome decoding on the received vector in part f to obtain the correct codeword.
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