Taken from my report for a Computer Algebra course. Motivation We know there are plenty of methods to solve a system of linear equations (to name a few: Gauss elimination,…

# Category: Algebra

## But WHY is the Lattices Bounded Distance Decoding Problem difficult?

This is taken from my Master Thesis on Homomorphic Signatures over Lattices. Introduction to lattices and the Bounded Distance Decoding Problem A lattice is a discrete subgroup , where the…

## Relationship between reduced rings, radical ideals and nilpotent elements

This post aims at providing some intuition and meaning for the following algebra relationship: Reduced ring – Radical ideal – Nilpotent Reduced ring – Radical ideal – Nilpotent A basic…