Designs, Codes and Cryptography

, Volume 72, Issue 2, pp 471–481 | Cite as

Stanley–Reisner resolution of constant weight linear codes

Article

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.

Keywords

Constant weight Linear code Stanley–Reisner resolution Betti numbers 

Mathematics Subject Classification (2000)

94B05 05E45 05B35 13F55 

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Institute of Mathematics and StatisticsUniversity of TromsøTromsøNorway

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