### 6.3. Alice’s Public Key for a Knapsack CryptosystemAlice's public key for a knapsack cryptosystem is:\[ M = (5186, 2779, 5955, 2307, 6599, 6771, 6296, 7306, 4115, 7039). \]Eve intercepts the encrypted message \( S = 25650 \). She also breaks into Alice’s computer and steals Alice’s secret multiplier \( A = 4392 \) and secret modulus \( B = 8387 \). Use this information to find Alice’s superincreasing private sequence \( r \) and then decrypt the message.

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Answered: 6.3. Alice's public key for a knapsack…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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d out of 57 = 3 (18) + 3 g question QR + 5 ךסד Encryption of the message 'NO' by Caesar's cipher is yet ered ked out of Flag question vestion 4 -1 ot yet nswered Given that A = 3 -5 The value of 12 23 is 4 Marked out of 050 -2 7 Flag question
(a) Use the Atbash cipher to encrypt the following messages: i Alphabet: ABCDEFGHIJKLMNOPQRSTUVWXYZ Plain text: HIDETHEPAPERS
Suppose (n, d) = (55, 3) is the private key of an RSA cryptosystem. If the received ciphertext is C = 49 what is the corresponding plaintext? O 3 4 10 14
Having chosen primes p and q, and suitable integers d and e, what is the public-key of our RSA cipher in this case? Select one: a. (φ(pq), e) b. (pq, e) c. (d. e) d. (p. q) Clear my choice
(c) How many binary strings of length 5 have at least 2 adjacent bits that are the same (“00" or “11") somewhere in the string?
kindly answer it perfectly
The ciphertext 75 was obtained using the RSA algorithm with n = 437 and e = 3. You know the plaintext is either 8 or 9. Determine which it is without factoring n.
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2. Consider 10-character alphanumeric passwords (that is, made up of letters of the English alphabet, either lowercase or uppercase, and decimal digits). How many such that contain at least one lowercase letter, at least one uppercase letter, at least one digit, but do not contain your birthday in the format ddmmyyyy. (E.g. my birthday is 06091978 so I should not count the password A06091978x.)
Suppose that when a string of English text is encrypted using a shift cipher f (p) = (p + k) mod 26, the resulting ciphertext is DY CVOOZ ZOBMRKXMO DY NBOKW. What was the original plaintext string?
jeans? Ro 3. To login to a particular phone app, users must create a 6-character password using only the digits 0-9. (a) How many unique passwords can be generated given the above requirements? (b) How many passwords are possible if no characters in the password are repeated? (c) How many passwords have 3 as the first character and an even number as the last character? (Here we consider 0 to be an even number.)

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