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b.Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=5 to send to Bob. Show the ciphertext.

b.Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=5 to send to Bob. Show the ciphertext.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a. Given p=17, q=7, and e=11, generate the public key (n,e) and the private key (n,d) using RSA Key generation algorithm.

b.Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=5 to send to Bob. Show the ciphertext.

c.Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertetx y=6 received from Alice. Show the plaintext.

d.Using the fast exponentiation method (page 182), determine 430 mod 47. Show your work.

Square-and-Multiply for Modular Exponentiation Input: base element x exponent H = E-o h;2' with h; E 0,1 and h; = 1 and modulus n „H Output: x" mod n Initialization: r=x Algorithm: 1 FOR i =t – 1 DOWNTO 0 r= r² mod n 1.1 IF h; = 1 1.2 r=r•x mod n RETURN (r)
Transcribed Image Text:Square-and-Multiply for Modular Exponentiation Input: base element x exponent H = E-o h;2' with h; E 0,1 and h; = 1 and modulus n „H Output: x" mod n Initialization: r=x Algorithm: 1 FOR i =t – 1 DOWNTO 0 r= r² mod n 1.1 IF h; = 1 1.2 r=r•x mod n RETURN (r)
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