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Understanding Practical Differences Between ElGamal and Diffie-Hellman

in ElGamal you use an additional variable K which is different for each message. you don't run the algorithm from scratch again for every new message.
M.Hamza Ali's user avatar
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Is it possible to uses large partial private key exposure to recover the ecdsa nonce?

I assume the public key is available (as public implies). If it was not, it's easy to recover within 1 bit from one (message, signature) pair using the ECDSA Public Key Recovery Operation; and it's ...
fgrieu's user avatar
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8 votes

Is it possible to add arbitrary amounts of quantum resistance cheaply?

No, for the reasons indicated in the other answer to this question. But I want to point out a partial stopgap measure when it comes to signature: using Schnorr groups with large parameter $p$ (e.g. ...
fgrieu's user avatar
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5 votes

Is it possible to add arbitrary amounts of quantum resistance cheaply?

There is no way to do this. Under Shor's attack the Discrete Logarithm in a group of size $2^n$ has quantum complexity $\mathrm{poly}(n).$ If we consider extending the bitlength by $n^c$ bits as $O(n^...
kodlu's user avatar
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