Tutorial2

# Tutorial2 - SCR3443 Tutorial 2 Mathematics for Cryptography...

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SCR3443 Tutorial 2: Mathematics for Cryptography 1. Find the results of the following operations. a. 22 mod 7 b. 140 mod 10 c. -78 mod 13 d. 0 mod 15 2. Perform the following operations using reduction first. a. (273 + 147) mod 10 b. (4223 + 17323) mod 10 c. (148 + 14432) mod 12 d. (2467 + 461) mod 12 3. Perform the following operations using reduction first. a. (125 × 45) mod 10 b. (424 × 32) mod 10 c. (144 × 34) mod 12 d. (221 × 23) mod 22 4. Let us assign numeric value to the uppercase alphabet ( A = 0, B = 1, . . . Z = 25). We can now do modular arithmetic on the system using modulo 26. a. What is ( A + N ) mod 26 in this system? b. What is ( A + 6) mod 26 in this system? c. What is ( Y - 5) mod 26 in this system? d. What is ( C - 10) mod 26 in this system? 5. Using the Euclidean algorithm, find the greatest common divisor of the following pairs of integers. 6. Using extended Euclidean algorithm, find the greatest common divisor of the following pairs

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• Winter '16
• Prime number, Greatest common divisor, Euclidean algorithm, Extended Euclidean algorithm, Euclidean domain

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