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Information Security SP 2025

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In RSA, the choice of the public key component e is often one of the following five numbers: 3, 5, 17, 257, or 65537. Why? 

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Select the false statement

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In the finite field GF(23) defined by the irreducible polynomial

m(x)  =  x3+x+1,

find the multiplicative inverse of the polynomial x2+1. In other words, determine the polynomial A(x) such that

(x2+1) A(x)  ≡  1 (mod x3+x+1)

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What is the result when reducing x5 mod (x5+x2+1)? (you can use "^" to indicate exponents eg. x5 = x^5)

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Which polynomial is not in the set of GF(23)?

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What is the drawback of using Finite Fields of form GF(p) with a prime p in a cryptographic algorithm?

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How many numbers are relative prime to 10?

Note: Only the result is requested, namely a numeric value. No procedure needed.

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Select the false statement:

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