# Solve Two Mathematical Questions Showing the Steps Clearly

Mar 9th, 2014
SKTFaker
Category:
Other
Price: \$15 USD

Question description

1. Here is a message to you in which I am using RSA system with pulic key n = 2773 and encryption key e = 157.

0245  2040  1698  1439  1364  1758  0946  0881

1979  1130

I have broken my original message into pairs of characters and converted these pairs to numbers as we did in the text. For example, the word "MATH" would be broken into "MA" and "TH" that would be converted to the numbers 1301 and 2008, respectively, and encrypted. Figure out the decryption key d, decrypt the message and answer the question that it asks.

RSA Cryptosystem table.

 A B C D E F G H I J K L M 01 02 03 04 05 06 07 08 09 10 11 12 13 N O P Q R S T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 26

Euler's theorem

C(pq) = (p-1)(q-1)

n = pq = 2773*157 = 435,361

C(n) = c(pq) = (p-1)(q-1) = 2772*156 = 432,432

encryption E(M) = M^e mod n

M^157 mod 435,361

decryption D(N) = N^d mod n

N^d mod 435,361

2. Use mathematical induction to prove that for every n >= 1, if a set has n elements, then

its power set has 2^n elements.

Must Show all Works and proper steps and signs.

(Top Tutor) Daniel C.
(997)
School: Carnegie Mellon University

Studypool has helped 1,244,100 students

## 7 Reviews

Summary
Quality
Communication
On Time
Value
kpcutie
Dec 3rd, 2016
" Excellent job "
Hemapathy
Nov 19th, 2016
" all I can say is wow very fast work, great work thanks "
BlueOcean
Nov 6th, 2016
" Awesome! Exactly what I wanted. "
kevin12622
Oct 28th, 2016
" Goes above and beyond expectations ! "
ashleyisgod
Oct 14th, 2016
" Top quality work from this guy! I'll be back! "
likeplum4
Oct 5th, 2016
" Excellent work as usual "
Molly_Moon
Sep 22nd, 2016
" AMAZING as always! "

Type your question here (or upload an image)

1826 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors