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← Logic & PuzzlesWhat outcome results when a large prime number is used as a modulus in a cryptographic system, assuming secure key exchange?
A)Guaranteed protection against brute-force attacks
B)Simplified key management complexities arise
C)Reduced computational overhead for encryption
D)Enhanced security via Fermat's Little Theorem✓
💡 Explanation
Using large prime numbers as moduli in cryptography leverages Fermat's Little Theorem to ensure that modular exponentiation operations are computationally secure, because the theorem guarantees properties related to prime factorization that protect encrypted data. Therefore, system security is enhanced, rather than reduced computational load or simpler key management.
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