MATH 5405 SPRING 2020 HOMEWORK

DANA DANE

Here is a copy of the homework for Math 5405. Current as of Thursday 5th March, 2020at 10:14am. Homework is always due by 11:59pm on the due date.

Remember, I’m just a dog. Sometimes us dogs need a little help to understand what youhoomans are talking about. And since I have “volunteered” to take care of the homeworkin this class, please show all work. Exercises that have solutions only may be given a scoreof zero points. Homework problems are paw-picked from An Introduction to MathematicalCryptography by Jeffrey Hoffstein, Jill Pipher, Joseph Silverman.

Second Edition

HW 1: (Due Jan 16:) 1, 2 (pick one), 3, 4 (pick one), 5, 7 - 9 (pick one for each), 10, 16(b,c), 19, 20, 26 (pick two). END.

HW 2: (Due Jan 23:) Chapter 1: 29, 30(a), 32 (pick one), 33, 34(b), 35 (and give anexample of such a p), 38, 40, 41, 42, 43, 45, 46, 47, 50.1 Read Section 1.6. END.

HW 3: (Due Jan 30:) Chapter 2: Read Section 2.1, 3(a,c), 4(a,b), 6, 7, 8, 10, 11, 15, 16(pick 2), 17 (pick 2). END.

HW 4: (Due Feb 6:) If you didn’t do problem 17 in Chapter 2 do it. Chapter 3: 1 (pick2), 3, 4, 5, 6. END.

HW 5: (Due Feb 13:) Chapter 3: 7, 8, 9 (pick one), 11, 14, 15 (a) (pick one other). END.HW 6: (Due Feb 20:) Chapter 3: 22 (pick one), 24 (pick one), 25 (pick one), 38, 41, 42.

Chapter 4: 1, 2, 3. END.HW 7: (Due Feb 27:) Chapter 6: 1, 2, 3, 5 (pick one), 6 (pick one), 7. END.HW 8: (Due Mar 6:) Chapter 6: 8, 9, 11 (pick one), 12 (pick one), 13, 14, 17, 21 (pick

one). END.HW 9: (Due Mar 19:) Chapter 7: 1, 2, 3, 6, 7, 10, 11, 12 (pick one), 13 (pick one).

First Edition

1I don’t recommend doing this by hand.

2 DANA DANE

HW 1: (Due Jan 16:) Chapter 1: 1, 2 (pick one of the three to do), 3, 4 (pick one of thethree to do), 5, 7 - 9 (pick one of the four parts to do for each), 10, 15 (b,c), 18,19, 25 (pick two). END.

HW 2: (Due Jan 23:) Chapter 1: 27, 28(a), 30 (pick one), 31, 32(b), 33 (and give anexample of such a p), 36, 38, 39, 40, 41, 43, 44, 45, 48.2 Read Section 1.6. END.

HW 3: (Due Jan 30:) Chapter 2: Read Section 2.1, 3(a,c), 4(a,b), 6, 7, 8, 10, 11, 15, 16(pick 2), 17 (pick 2). END.

HW 4: (Due Feb 6:) If you didn’t do problem 17 in Chapter 2 do it. Chapter 3: 1 (pick2), 2, 3, 4, 5. END.

HW 5: (Due Feb 13:) Chapter 3: 6, 7, 8 (pick one), 10, 13, 14 (a) (pick one other). END.HW 6: (Due Feb 20:) Chapter 3: 21 (pick one), 23 (pick one), 24 (pick one), 37, 40, 41.

Chapter 7: 1, 2, 3.HW 7: (Due Feb 27:) Chapter 5: 1, 2, 3, 5 (pick one), 6 (pick one), 7. END.HW 8: (Due Mar 6:) Chapter 5: 8, 9, 10 (pick one), 11 (pick one), 12, 13, 16, 18 (pick

one). END.HW 9: (Due Mar 19:) Chapter 6: 1, 2, 3, 6, 7, 10, 11, 12 (pick one), 13 (pick one). END.

2I don’t recommend doing this by hand.