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If an efficient algorithm for factoring large numbers is discovered, which of the following schemes will be known to be not securea.Noneb.RSAc.DESd.AES

Question

If an efficient algorithm for factoring large numbers is discovered, which of the following schemes will be known to be not secure?

a. None
b. RSA
c. DES
d. AES

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Solution

If an efficient algorithm for factoring large numbers is discovered, the RSA (Rivest-Shamir-Adleman) encryption scheme will be known to be not secure.

Here's why:

RSA is a public-key encryption system that is widely used to secure sensitive data, especially when it is sent over an insecure network like the internet. The security of RSA is based on the fact that, while it is easy to multiply large numbers together, it is difficult to factorize a large number into two prime numbers.

If an efficient algorithm for factoring large numbers is discovered, it would mean that an attacker could potentially determine the two prime numbers that make up the RSA public key. With these two numbers, they could then calculate the RSA private key, which would allow them to decrypt any data encrypted with the corresponding public key.

Therefore, the discovery of such an algorithm would render RSA insecure.

On the other hand, DES (Data Encryption Standard) and AES (Advanced Encryption Standard) are symmetric key encryption algorithms, which do not rely on the difficulty of factoring large numbers, so they would not be directly affected by such a discovery.

This problem has been solved

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