Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids

Details Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids

2011-08-16

arxiv.org/abs/1108.3172v1

Mathematics

Combinatorics

Scientific paper

To each linear code over a finite field we associate the matroid of its
parity check matrix. We show to what extent one can determine the generalized
Hamming weights of the code (or defined for a matroid in general) from various
sets of Betti numbers of Stanley-Reisner rings of simplicial complexes
associated to the matroid.

Affiliated with

Also associated with

No associations

Rating

Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194963