Elliptic Curve Cryptography – From useless to indispensable

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Elliptic curves Cryptography are trending and considered as the “key” of asymmetric cryptography thanks to their nice mathematical properties and their attractive key sizes.
However, RSA is still use in many products. In this video, we try to compare these two cryptosystems and cite the important advantages and disadvantages of using elliptic curves in cryptography.

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Bravo for this analytical description which highlights the undeniable advantages of using the elliptic curve

sabrinabenjou
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And also, smaller keys doesn't automatically means lower cpu usage. Can you demonstrate a comparison? Example: encryption of 32bytes, decryption the same, generation / verification signature (appropriated algorithms) with ecc256 and rsa 3k

lexej
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Wasn't the RSA signature verification faster than the ecc? Thats basically why the RSA is still used for example for sw integrity checks during sw update... or?

lexej