10 citations · 22 across the 12 of their papers we have counts for
19 papers
The Axiomatics of Free Group Rings
Benjamin Fine, Anthony Gaglione, Martin Kreuzer +2
In [FGRS1,FGRS2] the relationship between the universal and elementary theory of a group ring and the corresponding universal and elementary theory of the associated group $…
Cotangent spaces and separating re-embeddings
Martin Kreuzer, Le Ngoc Long, Lorenzo Robbiano
Given an affine algebra , where is a polynomial ring over a field and is an ideal in , we study re-embeddings of the affine scheme ${\rm Spec…
A fault attack on the Niederreiter cryptosystem using binary irreducible Goppa codes
Julian Danner, Martin Kreuzer
A fault injection framework for the decryption algorithm of the Niederreiter public-key cryptosystem using binary irreducible Goppa codes and classical decoding techniques is descr…
Hilbert Polynomials of Kähler Differential Modules for Fat Point Schemes
Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long
Given a fat point scheme in the projective -space over a field of characteristic zero, the modules of Kähler differential $k…
Computing subschemes of the border basis scheme
Martin Kreuzer, Le Ngoc Long, Lorenzo Robbiano
A good way of parametrizing 0-dimensional schemes in an affine space has been developed in the last 20 years using border basis schemes. Given a multiplicity ,…
An application of Liaison theory to zero-dimensional schemes
Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long +1
Given a 0-dimensional scheme X in a n-dimensional projective space P^n_K over an arbitrary field K, we use Liaison theory to characterize the Cayley-Bacharach property of X. Our re…