首页 > > 详细

代写CSCI 4116程序、代做Python,Java程序实验、c++编程代写代写R语言编程|代做Java程序

MATH/CSCI 4116
Cryptography
Assignment 5
1. We know that ϕ(ab) = ϕ(a)ϕ(b) whenever gcd(a, b) = 1. Give
an example that shows that this identity is, in general, not true when
gcd(a, b) 6= 1.
2. Use the stream cipher discused in class (Section 2.6), with n = 7
and c0 = c1 = 1, c2 = c3 = 0, c4 = c5 = c6 = 1. Encrypt w =
1110011 1110001 1010001 using the key k = 1010011.
3. Find the sample space and probability distribution that model flipping
two coins. Describe the event “at least one coin comes up heads”
formally and compute its probability.
4. We throw two dice. Determine the probability that they both show
different numbers under the condition that the sum of both numbers is
even.
5. (a) Determine the integer n such that the probability for two of n
people having the same birthday is at least 9/10.
(b) Suppose the 4-digit PINs are randomly distributed. How many people
must be in a room such that the probability that two of them have
the same PIN is at least 1/2? (Here “4 digits” means that the PIN
cannot start with a 0.)
Note: Pay special attention to the direction of the inequality in the
formula(s) used for this question.
Due: Thursday, February 25, 2021, 11:30 pm

联系我们
  • QQ:99515681
  • 邮箱:99515681@qq.com
  • 工作时间:8:00-23:00
  • 微信:codinghelp2
热点文章
程序代写更多图片

联系我们 - QQ: 99515681 微信:codinghelp2
© 2014 www.7daixie.com
程序代写网!