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Questions about SIS hard problem

The definition of $\mathrm{SIS}_{q,n,m,\beta}$ problem is as below. Let $A\in\mathbb{Z}_q^{n\times m}$ be an $n\times m$ matrix with entries in $\mathbb{Z}_q$ that consists of $m$ uniformly random ...
X.H. Yue's user avatar
  • 456
1 vote
1 answer
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Matrix multiplication circuit

I am trying to understand which operations are computable by an $\texttt{NC}^1$ circuit. However, I am struggling to understand whether there is such a circuit for multiplying a matrix with a vector ...
Mjf T's user avatar
  • 21
2 votes
1 answer
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Found a mistake in a proof about when GGH will decrypt incorrectly

The proof is here on page 66, lemma 20. I found the same mistake in other sources also. It claims that GGH decryption will fail only if $\lceil R^{-1}e\rfloor \not =0$. Here $R$ is the "good" private ...
OskarOlaussen's user avatar