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A distinguisher describes an adversary's advantage. In cryptography, an adversary's advantage is a measure of how successfully it can attack a cryptographic algorithm, by distinguishing it from an idealized version of that type of algorithm.

3 votes
1 answer
135 views

why do we take computational distinguishability over ensembles

$D$ (called the “distinguisher”), there exists a negligible function $e(·)$ such that $∀n ∈ N$ $Pr[t ← X_n, D(t) = 1] − Pr[t ← Y_n, D(t) = 1] < e(n)$ My question is, why do we need ensembles of distribution …
user185887's user avatar
2 votes
1 answer
198 views

Example of not computationally indistinguishable

All the examples that I see for proving that two distributions are not computationally indistinguishable involve a pattern: choose a Distinguisher $D(\cdot)$ such that $D(x)$ is $1$ if $x$ satisfies some … Now I can choose my distinguisher to be $D(x) = 1$, if $x$ ends with $1$. …
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1 vote
1 answer
105 views

Given an input x, can a distinguisher D output 1/2?

We know such a distinguisher exists and is often given as an example many times. Now consider another distinguisher strategy, where on input $x$, it checks if $x$ is $0^n$ or $1^n$. … My question is - Is such a distinguisher valid according to the assumptions we make in cryptography? …
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