MATH 447/MATH 747 Fall 2022
Assignment #3
The assignment is due Tuesday 11 October at 10pm.
Study Appendix A and Sections 3.1 through 3.3.
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Solve Chapter 3 Exercises 3, 4(ab), 8, 17, 18, 41, 46, 69, 79.
MATH 747 students only:
Solve Chapter 3 Exercise 19.
1. Exercise 3 does not specify the code alphabet. Assume that the code is binary, that is, code alphabet is GF (2).
2. Exercise 41 is missing a comma at the end of its second line. That is, the following two statements are to be proved:
(a) C′ is an (n, k − 1)-code (no matter if d is even or odd).
(b)Ifdisodd,thend′ >d.
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