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Nov 9, 2021 at 23:24 history closed kelalaka
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Duplicate of Diffie-Hellman: difficulty of computing $g^{x^2}$ given $g^x$?
Nov 9, 2021 at 23:13 comment added Umbral Reaper Ah, thank you! I knew that I was just missing enough knowledge to phrase my question properly.
Nov 9, 2021 at 23:11 comment added kelalaka It is called Square Diffie-Hellman.Yes attacker can observe the event if they are lucky. Here another Show How to Efficiently Solve the Computational Diffie-Hellman Assumption given an Algorithm that Solves the Square-DH Problem
Nov 9, 2021 at 23:10 comment added Umbral Reaper The question came up in a discussion around the Diffie-Hellman key exchange, and Google did not provide an answer. From this question, I understand that the probability is somewhere in the order of 1/((2^256)^2). However, my understanding of the mechanism of Diffie-Hellman is not much deeper than the paint analogy, in which it would be trivial to detect that A and B are using the same secret key.
Nov 9, 2021 at 22:58 comment added kelalaka Welcome to Cryptography.SE. What is the origin of this question? Do you know the probability of it? negligible! So you asking given $g^x$ find $g^{x^2}$. What have you tried? And note we have dupes!
S Nov 9, 2021 at 22:51 review First questions
Nov 9, 2021 at 23:25
S Nov 9, 2021 at 22:51 history asked Umbral Reaper CC BY-SA 4.0