I'm stuck on trying to work out what it would mean to de-lattice something. Would that transform a lattice basis into a standard vector space basis in R or something, or, like MOV, would it send the whole lattice to an element of some prime extension field?
In my mind's eye, it's cooler: it's like, you render the ciphertext as a raster image, and then "de-lattice" it to reveal the underlying plaintext, scanline by scanline.
i'm still working on understanding lattices better
but i can imagine, based on my own ignorance, creativity, and lack of correct understanding, would be some kind of factorization.
as I think while trying to better know what's a lattice, I imagine a lattice like a coordinate pair, but instead of each coordinate existing on a line, they exist on a binary tree (or some other directed graph explored from a root outwards without cycles)
which means you have two such binary-trees (not necessarily binary, but it's just easier to work with them seemingly)
and then you combine these into ONE lattice. so then, to de-lattice means to recover the binary trees.
but when I say binary tree I'm thinking about rational numbers (because stern broccott trees)
tptacek|2 years ago
In my mind's eye, it's cooler: it's like, you render the ciphertext as a raster image, and then "de-lattice" it to reveal the underlying plaintext, scanline by scanline.
garba_dlm|2 years ago
but i can imagine, based on my own ignorance, creativity, and lack of correct understanding, would be some kind of factorization.
as I think while trying to better know what's a lattice, I imagine a lattice like a coordinate pair, but instead of each coordinate existing on a line, they exist on a binary tree (or some other directed graph explored from a root outwards without cycles)
which means you have two such binary-trees (not necessarily binary, but it's just easier to work with them seemingly)
and then you combine these into ONE lattice. so then, to de-lattice means to recover the binary trees.
but when I say binary tree I'm thinking about rational numbers (because stern broccott trees)
20after4|2 years ago