Q. Is 7, 8, 9, 11 are pairwise relatively prime.

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Q. The greatest common divisor of 3¹³.5¹⁷ and 2¹².3⁵ is __________

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Q. The greatest common divisor of 0 and 5 is ___________

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Q. The lcm of 3 and 21 is ________ if gcd(3,21)=3.

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Q. The least common multiple of 41.42 and 42.41 is ____________

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Q. If the multiplicative inverse of “53 modulo 21” exists, then which of the following is true?

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Q. A multiplicative monoid defines the property of exponentiation with ________

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Q. Which of the following algorithms has better computational complexity than standard division algorithms?

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Q. Which of the following methods uses the concept that exponentiation is computationally inexpensive in the finite field?

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Q. If there is a unique prime number p₁ then a finite field F has the property of ______________

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Q. Evaluate the expression 6359 mod 320.

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Q. The time complexity to perform the modular exponentiation of a ≡ cᵍ (mod m).

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Q. According to congruence relation, find the remainder of 56 mod 24.

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Q. In cryptography system, the value of z in x ≡ zᵉ (mod m) should be at least ______

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Q. Determine the value of x, where y = 7, e = 12 and n = 566 using modular exponentiation method (x ≡ yᵉ (mod n)).

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Q. How many bytes of the secret key is generated using Diffie-Hellman encryption/decryption scheme?

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Q. In which of the following systems, encryption slower than decryption?

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Q. If there are 2⁵⁶ cipher texts per plain text and a total of 2¹⁸ plaintexts of length 18 exists. Then determine the number of distinct ciphertexts?

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Q. TEA cipher uses which of the following structure?

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Q. Let A’s public key is n=6, 736, 180, 7817, 961, 456, 267 and e = 5 and B sends the ciphertext. c = 456, 871, 122, 391, 882, 538 to A. Determine B’s message in numeric format?

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