Consider the (6,2) code generated by the matrix 11010 01101 G = -11 (a) Calculate and list all of the codewords c = mG for this code, together with the Ham- ming weight for each codeword by filling in a table in the form given below. wH (c) m с (b) What is the minimum distance for this code? How many bit errors can this code cor- rect? (c) Tabulate that part of the standard array to correct all single bit errors for this code. Indicate the value of the syndrome for each row. r 110111 110010 101001 000001 (d) Assume the following values of r have been received. Calculate the corresponding c and m for each of the values of r below. с m

Consider the (6,2) code generated by the matrix 11010 01101 G = -11 (a) Calculate and list all of the codewords c = mG for this code, together with the Ham- ming weight for each codeword by filling in a table in the form given below. wH (c) m с (b) What is the minimum distance for this code? How many bit errors can this code cor- rect? (c) Tabulate that part of the standard array to correct all single bit errors for this code. Indicate the value of the syndrome for each row. r 110111 110010 101001 000001 (d) Assume the following values of r have been received. Calculate the corresponding c and m for each of the values of r below. с m

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter8: Data And Network Communication Technology

Section: Chapter Questions

Problem 31VE

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