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math.AG2013★ 2 cited
Universal Gröbner Bases for Binary Linear Codes
Natalia Dück, Karl-Heinz Zimmermann
Each linear code can be described by a code ideal given as the sum of a toric ideal and a non-prime ideal. In this way, several concepts from the theory of toric ideals can be tran…
math.AG2013
A Variant of the Gröbner Basis Algorithm for Computing Hilbert Bases
Natalia Dück, Karl-Heinz Zimmermann
Gröbner bases can be used for computing the Hilbert basis of a numerical submonoid. By using these techniques, we provide an algorithm that calculates a basis of a subspace of a fi…