4 papers
Sum-Product Bounds & an Inequality for the Kissing Number in Dimension 16
Andrew Mendelsohn
We obtain an inequality for the kissing number in 16 dimensions. We do this by generalising a sum-product bound of Solymosi and Wong for quaternions to a semialgebra in dimension 1…
A Note On Square-free Commuting Probabilities of Finite Rings
Andrew Mendelsohn
It is shown that the commuting probability of a finite ring cannot be a fraction with square-free denominator, resolving a conjecture of Buckley and MacHale.
An Upper Bound on the Number of Classes of Perfect Unary Forms in Totally Real Number Fields
Christian Porter, Andrew Mendelsohn
Let be a totally real number field of degree over , with discriminant and regulator respectively. In this paper, using a similar method to van Woerde…
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…