MATH 4023 Midterm: MATH 4023 LSU 4023u02 Exam 3

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31 Jan 2019
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Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each page of your paper: [25 points] a wheel is divided evenly into six di erent compartments. Each compartment can be painted red, white or blue. How many di erent such color wheels are there: [16 points] suppose that c is a linear (7, 2, 5) code over z13. Explain: [34 points] let c be the binary code with parity check matrix. 101101, 101010, 111000, 111111: [25 points] (a) write the parity check matrix h2. 5, decode each of the following received strings: