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A function which is easy to compute but hard to invert (i.e. find preimages for). The existence of one-way functions implies the possibility of many useful cryptographic schemes. No one-way functions have so far been proven to exist, but many likely candidates exist.
7
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If a permutation $f$ is not one way, what can we say about $f^{p(n)}$?
Consider a permutation $f:\{0,1\}^*\rightarrow \{0,1\}^*$, which is not a one-way function, i.e. there exists an efficient probabilistic adversary $\mathcal{A}$ and some polynomial $q(n)$ such that fo …
4
votes
1
answer
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Necessary conditions for construction of $n$ to $p(n)$ pseudorandom generators from $n$ to $...
Given a polynomial time deterministic algorithm $G_1:\{0,1\}^n \rightarrow \{0,1\}^{n+1}$, consider the function $G:\{0,1\}^n \rightarrow \{0,1\}^{p(n)}$ constructed as follows:
Let $s \in \{0,1\}^n …