2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AC2014★ 1 cited
On Binomial Ideals associated to Linear Codes
N. Dück, K. -H. Zimmermann
Recently, it was shown that a binary linear code can be associated to a binomial ideal given as the sum of a toric ideal and a non-prime ideal. Since then two different generalizat…
math.AC2014★ 2 cited
Graver Bases and Universal Gröbner Bases for Linear Codes
Natalia Dück, Karl-Heinz Zimmermann
Two correspondences have been provided that associate any linear code over a finite field with a binomial ideal. In this paper, algorithms for computing their Graver bases and univ…
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…