On the Fan Associated to a Linear Code

نویسندگان

  • Natalia Dück
  • Irene Márquez-Corbella
  • Edgar Martínez-Moro
چکیده

We will show how one can compute all reduced Gröbner bases with respect to a degree compatible ordering for code ideals even though these binomial ideals are not toric. To this end, the correspondence of linear codes and binomial ideals will be briefly described as well as their resemblance to toric ideals. Finally, we will hint at applications of the degree compatible Gröbner fan to the code equivalence problem.

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تاریخ انتشار 2014