Solve the RSA Cryptosystem Problem

Sigchi4life
Category:
Other
Price: \$10 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

E(M) = M^e mod n
D(N) = N^d mod n
d= e^-1 mod c(n)

N = p*q

c(n) = (p-1)(q-1)

Must show all the works.

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