Public-key encryption is not that much more secure from cryptanalysis than symmetric encryption. The given statement is false. Hence, Option B is correct.
Another term that can be used in place of Public-key encryption is public key cryptography. It is basically a method, in which two distinct keys are used to encrypt or sign data, with the public key of one of the keys being made available for use by anybody.
It has one more key that is known as the private key. Maximum of the theory is based on the number theory.
Thus, Option B is correct.
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