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math.NT2021
Reduction Theory of Algebraic Modules and their Successive Minima
Christian Porter, Cong Ling
Lattices defined as modules over algebraic rings or orders have garnered interest recently, particularly in the fields of cryptography and coding theory. Whilst there exist many at…
cs.CR2021
Subfield Algorithms for Ideal- and Module-SVP Based on the Decomposition Group
Christian Porter, Andrew Mendelsohn, Cong Ling
Whilst lattice-based cryptosystems are believed to be resistant to quantum attack, they are often forced to pay for that security with inefficiencies in implementation. This proble…