2005/06/02 by M. Borges-Quintana, Borges-Quintana, M., M. Borges-Trenard +3
Mathematics · #13P10 #94B05 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13P10 #msc:94B05
paper · pdf · doi:10.48550/arxiv.math/0506045
Subbmited to International Mathematics Research Notices
arxiv created 2005/06/02 · arxiv updated 2009/12/01
We present a structure associated to the class of linear codes. The properties of that structure are similar to some structures in the linear algebra techniques into the framework of the Gröbner bases tools. It allows to get some insight in the problem of determining whether two codes are permutation equivalent or not. Also an application to the decoding problem is presented, with particular emphasis on the binary case.