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I can't find an explicit expression for this advantage. There isn't one. This is because it is consistent with the state of the art of complexity theory that $\mathsf{P} = \mathsf{NP}$, and therefore $\mathsf{Adv}_{n,m,q,\sigma}^{\mathsf{DLWE}}$ is some polynomial in the sizes of the relevant parameters. It is also consistent with current cryptographic ...


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I think this is just an artifact of Regev representing values in $\mathbb{T} \cong \mathbb{Z} / q\mathbb{Z} = \{0, 1/q, \dots, (q-1)/q\}$, rather than in $\{0,1,\dots,q\}$ directly. There are still a few things to mention though: First, modern consensus is that for the hardness of $\mathsf{LWE}$ [1], the particular error distribution you use does not matter ...


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