Stanley-Reisner resolution of constant weight linear codes
Abstract
Given a constant weight linear code, we investigate its weight hierarchy and the Stanley-Reisner resolution of its associated matroid regarded as a simplicial complex. We also exhibit conditions on the higher weights sufficient to conclude that the code is of constant weight
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2012
- DOI:
- arXiv:
- arXiv:1204.2710
- Bibcode:
- 2012arXiv1204.2710J
- Keywords:
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- Computer Science - Discrete Mathematics;
- Mathematics - Combinatorics;
- 94B05;
- 05E45;
- 05B35;
- 13F55
- E-Print:
- doi:10.1007/s10623-012-9767-2