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Results tagged with discrete-logarithm
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user 53571
In cryptography, a discrete logarithm is the number of times a generator of a group must be multiplied by itself to produce a known number. By choosing certain groups, the task of finding a discrete logarithm can be made intractable.
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Distribution of group elements with chosen bits and hardness of discrete log problem
For generator $g$ of order $n$ the group elements $y=g^x$mod $n$ are uniformly distributed because of the modulo operation.
Suppose however that from the original output space $Y$, we only consider th …
- 334
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Modifying discrete logarithm problem in Zp by selecting a subset of group elements
Let $g$ generator of cyclic group $Z_p$ of order $p-1$, where $g$ can generate all group elements $\alpha \in Z_p$ as $\alpha = g^x$mod$p$, $x \in (0..p-1)$, where the discrete logarithm problem is ha …
- 334