Coding Homework

Chapter 1: Integers and Computer Algebra

1.1: 3, 6, 7, 9, 12
1.4: 1, 3, 4, 14, 15

Chapter 2: Codes

2.1: 1, 3, 5, 9, 15
2.5: 1, 2, 7

Chapter 3: Euclidean Algorithm

3.1: 2, 3, 5, 8, 9, 10, 11
3.2: 1, 2, 5, 7, 10
3.3: 1 – 5, 8
3.4: 8, 9
3.5: 1-6, 10-14

Chapter 4: Ciphers

4.1: 4, 7, 9, 10, 13, 14
4.2:  5, 6
4.3: 1, 2, 3, 4, 7, 8
4.4: 1, 2
4.6: 1, 2, 3

Chapter 5: Error-Control Codes

5.1:  1, 2, 3, 5, 6
5.3:  2, 3
5.4:  1 – 6, 8 – 13

Chapter 7: Theorems of Fermat and Euler

7.1:  1 – 9 all
7.2:  1, 2, 5, 6, 7, 8
7.3:  1, 4 – 11, 13, 14, 15
7.4:  4, 5
7.5:  none
7.6:  1 – 5, 7 – 10

Chapter 8: Public Key Ciphers

8.1: 1 – 4, 6
8.2: 1 – 4

Chapter 9: Finite Fields

9.1:  1 – 6, 9, 11, 12
9.2:  1 – 9, 12 – 14
9.3:  1, 2, 6 (show that…), 7, 8, 10
9.4:  1, 2, 5 – 10

Chapter 10: Error-Correcting Codes

10.1:  1, 2, 3, 6, 7
10.2:  1, 2

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