Given p = 47569 and q = 51413. What is N and the totient(N)? Choose a valid e. How do you know it's valid? Now given a different e = 401 what is d for this value of e? Decrypt the following ciphertext C sent using your public key and submit this in the answer below. C = 1100065960 If you decrypted correctly you should have a six digit number that corresponds to a three letter ASCII word. What is that word?

Messages are to be encoded using the RSA method, and the primes chosen are p “ 17 and q “ 19, so that n “ pq “ 323, and e “ 19. Thus, the public key is p323, 19q.   (a) Show that the decryption exponent d (your private key) is 91.

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Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzi. Consider the LFSR represented by the polynomial x¹ + x³ +x+1 What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 010101 to represent p = 0, P4 = 1, P3 = 0, P2 = 1, P₁ = 0, Po = 1).

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In order to decode the following messages, you will need to determine the cipher used. All of them have been encrypted using one of the methods we saw in the cryptography lecture. The full key to that lecture is in canvas. Need to name the method used to decipher it and show steps in using that method. Do not hesitate to ask questions in the virtual office hours. 2. SI HT EG AS SE MD LU OH ST ON EB DR AH TA LL AR OF UO YO TE RU GI FT UO. EH TT XE NE CN ET NE SS IN AT EB AH PL AD NA DR OW DE TA LE RR OC RE HP IC.

Alice sets up an RSA public/private key, but instead of using two primes, she chooses three primes p, q, and r and she uses n=pqr as her RSA-style modulus. She chooses an encryption exponent e and calculates a decryption exponent d. Encryption and Decryption are defined: C ≡ me mod n and m ≡ Cd mod n where C is the ciphertext corresponding to the message m.  Decryption: de ≡ 1 mod φ(n) | Let p = 5, q = 7, r = 3, e = 11, and the decryption exponent d = -13. n = 105 & φ(n) = 48 Q: Alice upgrades to three primes that are each 200 digits long. How many digits does n have?

Discuss the concept of data dependency and its implications in the context of data binding.

Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. We conduct a known-plaintext attack against an LFSR. Through trial and error we have determined that the number of states is m = 4. The plaintext given by 01100101 —D ХоXјX2XҙX4X5X6X7 when encrypted by the LFSR produced the ciphertext 10010100 — Уo У1 У2 Уз Уз У5 У6 Ут- What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 0101 to represent P3 = 0, p2 = 1, Pi = 0, po = 1).

Decode the number using the given private key. Decode the number M = 15 using the private key d = 53 and n = 77. Assume you are decoding the number using the RSA cryptosystem. Note: You can use the Modular Exponentiation calculator to help with the calculation. a 63 (mod 77), decoded number = 63 b 64 (mod 77), decoded number = 64 C 65 (mod 77), decoded number = 65 d. 66 (mod 77), decoded number = 66