Applied Cryptography Assignment Using the extended Euclidean algorithm, find the multiplicative inverse of: 13140 mod 40902
Applied Cryptography Assignment
Using the extended Euclidean algorithm, find the multiplicative inverse of:
13140 mod 40902
Homework Answers
Answer:
Given that 13140 mod 40902.
Multiplicative inverse:
=gcd(40902,13140)
=gcd(13140,1482)
=gcd(1482,1284)
=gcd(1284,198)
=gcd(198.96)
=gcd(96,6)
=gcd(6,0)
So, the GCD or HCF (40902, 13140)
6 
1.
So, there is no multiplicative inverse .....
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Applied Cryptography Assignment
Using the extended Euclidean algorithm, find the multiplicative
inverse of:
13140 mod 40902
Using the Extended Euclidean Algorithm, find the multiplicative inverse of: 31 mod 3480
Using the Extended Euclidean Algorithm, find the multiplicative inverse of: 31 mod 3480
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thanks
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Please solve the above 4 questions.
1. Using the extended Euclidean Algorithm, find all solutions of the linear congruence 217x 133 (mod 329), where 0 x < 329 (Eg. if 5n, n 0,. ,6) 24 + 5n, п %3D 0, 1, . .., 6, type 24 + x< 11 2. Find all solutions of the congruence 7x = 5 (mod 11) where 0 (Eg. if 4,7 10, 13, type 4,7,10,13, none. or if there are no solutions, type I 3....
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Please answer the question below:
use this as an example follow the same steps please!
thanks
3. (10 points) Find the modular multiplicative inverse of 14 mod 33 using the Extended Eu- clidean Algorithm. Example 3. Find the multiplicative inverse of 8 mod 11, using the Euclidean Algorithm Solution. We'l organize our work carefully. We'll do the Euclidean Algorithm in the left column. It will verify that god(8,11) = 1. Then we'll solve for the renainders in the right column,...
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Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
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