Suppose that message is to be encrypted using the formula c=9p mod 26. What is the formula that you must use to decrypt the secret message? Hint 3•9=1 mod 26.

Q: If m is an integer, and if (m mod 11) = 6, then what is (5m mod 11)? 2 4 11

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Q: . If 9x = 15 (mod 37), then x mod 37 is 14 17 33 11

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Q: Suppose b is any integer. If b mod 12 = 5, what is 6b mod 12? In other words, if division of b by 12…

A: Given b is an integer such that b mod12=5 To find the value of  6b mod12

Q: Encode the message MATH using the coding formula C=(7P +11)mod 26.

A: The solution is given as follows

Q: Suppose a and b are integers, a = 15 (mod 23), andb=7 (mod 23). Then integer c with Osc< 22 such…

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Q: (Adapted from Richardson problem Solve the congruence 589z = 494 (mod 817). Hint: The solution…

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Q: Find the value of 3443 mod 23 4 16 O 3

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Q: Suppose b is any integer., If b mod 12 = 7, what is 4b mod 12? In other words, if division of b by…

A: Given : b mod 12 = 7

Q: (Adapted from Richardson problem 4.2.2, Solve the congruence 589.r = 494 (mod 817). Hint: The…

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Q: x is congruent to 27 mod 7. Then x is 54 55 None of the option 46

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Q: For this question, explain the reason if no solution exists. Give a complete list of solutions if…

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Q: (-130 mod 20·265 mod 20) mod 20 ?

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Q: The least positive integer solution for the congruence 2x = 14 (mod 18) is Answer:

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Q: Solve the givnen congruence x2 ≡ 9 (mod 600).

A: The given problem is to solve the given congruence equation. x2=9 (mod 600).

Q: Find all the whole number solutions of the congruence equation.x x 5 mod 9

A: The objective is to find all the whole number solutions of the congruence equation.x x = 5 mod 9

Q: Suppose b is any integer. If  b mod 12 = 5,  what is 6b mod 12? In other words, if division of b by…

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Q: The remainder in 14 (mod 3) is 3

A: Given that 14 (mod3)

Q: 22. Suppose c is an integer. If c mod 15 = 3, what is 10c mod 15? In other words, if division of c…

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Q: Find all solutions mod 31 to the congruence z = -5 (mod 31).

A: We will use python code to find the solutions Now x5 ≡  -5 (mod 31)  ≡  26  (mod 31) And we only…

Q: Is it true that 90 ≡ 64 (mod 13)?

A: As given equation 90≅64(mod 13) is False.

Q: 1. Please use congruence (c is congruent to (p+3)mod26) to encrypt "May God bless you more!"

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Q: #5. Suppose that a = 2 (mod 113), and b = 5 (mod 113) What is (a b + 56b + 155) mod 113?

A: given a≡2(mod113),b=5(mod113)a3≡23(mod113)a3b≡235(mod113)56b≡280(mod113)56b≡54(mod113)155≡15mod113)

Q: Consider the congruence 9x   21 (mod 33). (a) Does 9 -1(mod 33) exist? Explain why or why not.

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Q: Solve the congruence: 341x ≡ 2941 (mod 9).

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Q: Suppose c is an integer. If c mod 15 = 3, what is 10c mod 15? In other words, if the division of c…

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Q: The last two digits of 52044 is 44. If ab = 0 (mod 3), then a = 0 (mod 3) or b = 0 (mod 3). F 10. F…

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Q: 1. Solve the congruence 17x ≡ 42 (mod 100). 2.Compute the remainder of 3293 when divided by 97…

A: 1) solve the congruence 17x=42+100k implies17≡42+100k as we know gcd17,100=1 and 1/42 now, using…

Q: In the formula a b (mod n), what is the value of b in 36 b (mod 5)?

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Q: Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and…

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Q: The value of 52003 mod 7 is? (3 4 8

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Q: Give all the integer solutions of the congruence 56x-12=0 (mod 23).

A: Given congruence 56x-12 ≡ 0 (mod 23) i.e., 56x ≡ 12 (mod 23) i.e., 10x ≡ 12 (mod 23) We know that,…

Q: -) Find the solutions, if any, of each congruence. 21x 10 (mod 35) 9x = 15 (mod 21).

A: We know that, ax≡b mod n has solution if and only if gcd(a,n) divides b.

Q: Suppose b is any integer. If b mod 12 = 7, what is 5b mod 12? In other words, if division of b by 12…

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Q: Decode the following message: "YQADQ T" which was encoded with the formula C= (21P + 10) mod 26

A: Given that, "YQADQ T" which was encoded with the formula C=(21P+10)mod 26. Here, Ciphertext: YQADQ…

Q: The order of 5 mod 17 is

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: The order of 5 mod 17 is *

A: Since ϕ(17) = 16 Therefore order can be the divisor of 16 So the order can be 1,2,4,8 or 16

Q: Suppose b is any integer. If b mod 12 = 7, what is 6b mod 12? In other words, if division of b by 12…

A: To determine the value of 6b mod(12) if b mod(12) = 7.

Q: Calculate the following: 224 (mod 9) = ?

A: The expression a mod b gives the remainder obtained when a is divided by b. The reminder can be…

Q: A sequence of pseudorandom numbers is generated as follows Xo = 4 x₁ = ( 6x₁-1 + 5 ) mod 13 if i > 0…

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Q: Find (177 mod 31 + 270 mod 31) mod 31. Show your wor-

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Q: (a) What is 84 (mod 9)? (b) What is 52 (mod 5)? (c) What is -4 (mod 10)?

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Q: Find all whole number solutions of the congruence equation. 2x+3 ≡ 8 mod 12

A: Given that  2x+3 ≡ 8 mod 12  we have to find the value for 'x'

Q: Which are true for modulo 12? 1.) Does 5x ≡ 6 mod 12 have a solution? How many? 2.) Does 4x ≡ 6 mod…

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Q: Compute 22 mod 3, 24 mod 5, 26 mod 7.  What do you notice?  Does Fermat predict your answers? (If…

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Q: If a (mod 0) = a, How would you interpret the congruence a ≡ b (mod 0)?

A: According to the given information, it is given that:

Q: Show that if x mod 8 = 1, then (3x −5) mod 6 = 4.

A: Solution

Q: Find all whole number solutions of the congruence equation. 4x+6 ≡ 5 mod 8

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Q: (b) Solve the set of congruences 2x =1 (mod 5) x=3 (mod 4)

A: Note:- We’ll answer the first question according our protocol. Please submit a new question…

Q: The deciphering formula for C= (11P+16) mod 26 is

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