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What is the sponge construction in simple terms?

Every time you use the sponge to absorbliquid and chalk (data) it will remember this action, it is forever in its history. When a sponge is squeezed, the outcome is a mix of all the sponge's history: the sponge mixes all its former input, usually resulting in a goo-y mash of chalk, with the original inputs unrecognisable.

How to make a function which produces a hash of variable length?

If we stick to a single standard algorithm available in Python without add-on, we can use scrypt (available as hashlib.scrypt), which includes memory-hard key stretching, and has variable output size (with that later feature using PBKDF2 -HMAC-SHA256 reduced to 1 round).

Are there hash algorithms with variable length output?

However, there has been a trend in modern hash function design to support arbitrary-length output directly, without the need for additional layers. For example, the cryptographic spongeconstruction has this feature built in: you absorb the input into the sponge and then squeeze as much output out of it as you want.

hash - What are preimage resistance and collision resistance, and how ...

What is "preimage resistance", and how can the lack thereof be exploited? How is this different from collision resistance, and are there any known preimage attacks that would be considered feasible?

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reference request - Who was the original author of Winternitz's one ...

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What/how are pairing friendly elliptic curves used in crypto

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$\left[\begin{array}{ccc}{X}_{0}& {Y}_{0}& 1\\ 0& p& 0\\ p& 0& 0\end{array}\right]$ which has determinant p2 p 2 ${p}^{2}$. We can perform lattice basis reduction and ...

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