11. Establish the following relation between Fibonacci and Lucas numbers: L,=u, + 2u,-1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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Question 11

key eneryption scheme is similar to RSA. Research this cryptosystem and de
following ciphertext:
25292168
which was encrypted for a user with public key n = 27219809.
9. Prove that 9|u,124 if and only if 9 u,.
Hint: Use identity (1) on page 288.
10. Establish the following Fibonacci identity:
"n+8
Un18 = U, (mod 3)
11. Establish the following relation between Fibonacci and Luens numbersi
L.u, +2u1
for all
2 2,
Transcribed Image Text:key eneryption scheme is similar to RSA. Research this cryptosystem and de following ciphertext: 25292168 which was encrypted for a user with public key n = 27219809. 9. Prove that 9|u,124 if and only if 9 u,. Hint: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: "n+8 Un18 = U, (mod 3) 11. Establish the following relation between Fibonacci and Luens numbersi L.u, +2u1 for all 2 2,
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