In elliptic curve cryptography, what is the primary reason why ECC provides the same level of security as RSA with much smaller key sizes?

Question

In elliptic curve cryptography, what is the primary reason why ECC provides the same level of security as  RSA  with much smaller key sizes?

Answer

The elliptic curve discrete logarithm problem (ECDLP) is considered significantly harder than integer factorization

Answer

ECC uses prime fields, which are easier to compute compared to  RSA 's integer modulus

Answer

ECC employs multiple elliptic curve points, making the system more resistant to attacks

Answer

The elliptic curve group is commutative, allowing for faster computation

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