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1] (Generator matrices and error correction): Let C be a binary (6,3) code with the parity check matrix, H = 1 1 0 1 0 0        0 1 1 1 1 0        1 0 0 1 1 1 (a) Find coset leaders and their syndromes. (b) Use syndrome decoding to decode the following received vectors: (i) 110000; (ii) 000011.

1] (Generator matrices and error correction): Let C be a binary (6,3) code with the parity check matrix, H = 1 1 0 1 0 0        0 1 1 1 1 0        1 0 0 1 1 1 (a) Find coset leaders and their syndromes. (b) Use syndrome decoding to decode the following received vectors: (i) 110000; (ii) 000011.

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
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1] (Generator matrices and error correction): Let C be a binary (6,3) code with the parity check
matrix,
H = 1 1 0 1 0 0
       0 1 1 1 1 0
       1 0 0 1 1 1

(a) Find coset leaders and their syndromes.

(b) Use syndrome decoding to decode the following received vectors: (i) 110000;
(ii) 000011.

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