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Question

Compared with RSA, which of the following statements is true about Elliptic Curve Cryptography (ECC)?

A It has been mathematically proved to be more secure.
B It has been mathematically proved to be less secure.
C It is believed to require longer key for equivalent security.
D It is believed to require shorter keys for equivalent security.

Explanation

For equivalent classical security strength, elliptic-curve cryptography uses much smaller key sizes than RSA. NIST key-length guidance maps approximately 256-bit ECC strength to the same 128-bit security strength as a 3072-bit RSA modulus.

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NIST SP 800-131A Rev. 2: Transitioning the Use of Cryptographic Algorithms and Key Lengths

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