Question: In the lecture on Discrete Logarithm ( DL ) cryptosystems we saw that leaking the DL parity through the Legendre symbol can allow construction efficient

In the lecture on Discrete Logarithm (DL) cryptosystems we saw that
leaking the DL parity through the Legendre symbol can allow construction
efficient splitter for Diffie-Hellman triples and consequently solving the DDH problem in Z
p
. Could this particular leak lead to the revelation of the whole thing?
of the discrete logarithm in Z
p
Justify your answer.

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