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In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where efficiently typically means "in polynomial time"). It is not known how to prove (unconditional) hardness for essentially any useful problem. Instead, computer scientists rely on reductions to formally…
Art, Common cryptographic hardness assumptions & Non-cryptographic hardness assumptions
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problem displaystyle assumption hardness computational assumptions cryptographic hard problems time given known security average-case worst-case log hypothesis particular stronger factorization
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Computational hardness assumption | is a | hypothesis that a particular problem cannot be solved efficiently | 0.90 | text |
| RSA | instance of | Many more cryptosystems rely on stronger assumptions | 0.80 | text |
| residuosity problems | instance of | Many more cryptosystems rely on stronger assumptions | 0.80 | text |
| and phi-hiding.RSA problemGiven a composite number n | instance of | Many more cryptosystems rely on stronger assumptions | 0.80 | text |
| Computational hardness assumption | related to Average-case hardness assumptions | Some | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | For | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | Erdős | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | Rényi | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | Another | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | Feige's Hypothesis | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | SAT | 0.60 | section |
| Computational hardness assumption | related to Average-case hardness assumptions | Average-case | 0.60 | section |
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