If the standard parity check matrix H for the binary Hamming (15, 11) code is H = [1000111000011110100100110101110010010101110110001001 Find the syndrome Syn(r) of the received vector r = (0111 0011 0010 110) and the most probable Hamming code vector v that was sent based on the syndrome found?

If the standard parity check matrix H for the binary Hamming (15, 11) code is H = [1000111000011110100100110101110010010101110110001001 Find the syndrome Syn(r) of the received vector r = (0111 0011 0010 110) and the most probable Hamming code vector v that was sent based on the syndrome found?

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

If the standard parity check matrix H for the binary Hamming (15, 11) code is H
=
[1000111000011110100100110101110010010101110110001001
Find the syndrome Syn(r) of the received vector r = (0111 0011 0010 110) and the most
probable Hamming code vector v that was sent based on the syndrome found?

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