Learning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher e(x) = 8x + 5 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus) if no, explain why. 2. Is the affine cipher e(x) = 10x + 17 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.

Learning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher e(x) = 8x + 5 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus) if no, explain why. 2. Is the affine cipher e(x) = 10x + 17 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.

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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Learning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher e(x) 15x + 11 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why. 2. Is the affine cipher e(x) 16x +11 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus) if no, explain why. -
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