[Resource Topic] 2024/608: The Practical Advantage of RSA over ECC and Pairings

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The Practical Advantage of RSA over ECC and Pairings

Authors: Zhengjun Cao, Lihua Liu


The coexistence of RSA and elliptic curve cryptosystem (ECC) had continued over forty years. It is well-known that ECC has the advantage of shorter key than RSA, which often leads a newcomer to assume that ECC runs faster. In this report, we generate the Mathematica codes for RSA-2048 and ECC-256, which visually show that RSA-2048 runs three times faster than ECC-256. It is also estimated that RSA-2048 runs 48,000 times faster than Weil pairing with 2 embedding degree and a fixed point.

ePrint: https://eprint.iacr.org/2024/608

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