hiath343 Test 1 January 31, 2014
ame:
Directions: Show all work unless directed otherwise. No credit for answers without work.
1. [5 points] Short Answer. Jesse and Marie use a. simple Caeser cipher to exchange secret
messages in social studies cl
Math373
Homework 4
Due Fri, Feb. 7, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. [JJJ 1.28] Compute the following values of the order function.
(a) ord2 (2816)
(b) ord7 (2
Math373
Homework 6
Due Fri, Feb. 21, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. [JJJ 1.36] Compute the value of 2(p1)/2 (mod p) for every prime 3 p < 20. (You do not
nee
Math373
Homework 2
Due Fri, Jan. 24, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. Let a, a , b, b , and m be integers such that a a (mod m) and b b (mod m). Prove that
a +
Math373
Homework 3
Due Fri, Jan. 31, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. Modular Arithmetic Tables
(a) Make addition and multiplication tables for Z3 .
(b) Make a
Math373
Homework 5
Due Fri, Feb. 14, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. Modular exponentiation in F7 .
(a) Fill in the table so that row a and column k contains
Math373
Homework 1
Due Fri, Jan. 17, 2014
Directions: Solve the following problems. All written work must be your own. See the course
syllabus for detailed rules.
1. The Caeser cipher.
(a) Encrypt the message exchange all assets using a Caesar cipher with
lextjxfé73 7777 a 7 Quiz 1 Fri. Jan 17,
N31110:
Directions: Sin/3w all Work. No crodit for ansmrs without work.
l, [2 {mints}? In the divisibity lz'xttice, which i11t(3f_§{31f(/S) are at. the bottom"? Which i11togm(s)
w z,.. . _q>
uzt .zL Yuv Hle