Computational Commutative Algebra 1
- M. Kreuzer, L. Robbiano
- Education
- 27 September 2000
This is a book about Grbner bases and their applications. It contains 3 chapters, 20 sections, 44 tutorials, 165 exercises, and numerous further amusements. It is going to help you bridge the gap…
Characterizations of Border Bases
- A. Kehrein, M. Kreuzer
- Mathematics
- 1 April 2005
Computing Ideals of Points
- J. Abbott, Anna Maria Bigatti, M. Kreuzer, L. Robbiano
- Mathematics, Computer ScienceJournal of symbolic computation
- 1 October 2000
A modular Buchberger?Moller algorithm is developed, and a variant for the computation of ideals of projective points, which uses a direct approach and a new stopping criterion is described.
Computing border bases
- A. Kehrein, M. Kreuzer
- Computer Science
- 1 May 2006
A Fault Attack on the LED Block Cipher
- Philipp Jovanovic, M. Kreuzer, I. Polian
- Computer Science, MathematicsInternational Workshop on Constructive Side…
- 3 May 2012
A fault-based attack on the new low-cost LED block cipher is reported, and experiments show that the number of remaining key candidates is practical for performing brute-force evaluation even for a single fault injection.
Cayley-Bacharach schemes and their canonical modules
- A. Geramita, M. Kreuzer, L. Robbiano
- Mathematics
- 1993
A set of s points in P d is called a Cayley-Bacharach scheme (CB-scheme), if every subset of s − 1 points has the same Hilbert function. We investigate the consequences of this «weak uniformity.» The…
Approximate computation of zero-dimensional polynomial ideals
- Daniel Heldt, M. Kreuzer, S. Pokutta, H. Poulisse
- Mathematics, Computer ScienceJournal of symbolic computation
- 1 November 2009
An Algebraic Fault Attack on the LED Block Cipher
- Philipp Jovanovic, M. Kreuzer, I. Polian
- Computer Science, MathematicsIACR Cryptology ePrint Archive
- 2012
An attack on block ciphers is proposed where techniques derived from algebraic and fault based cryptanalysis are combined to mount a new, successful attack on the version of LED that uses a 64-bit secret key, requiring only a single fault injection.
On the Canonical Module of A 0-Dimensional Scheme
- M. Kreuzer
- MathematicsCanadian Journal of Mathematics - Journal…
- 1 April 1994
Abstract The main topic of this paper is to give characterizations of geometric properties of O-dimensional subschemes in terms of the algebraic structure of the canonical module of their projective…
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