On a Grobner bases structure associated to linear codes
交换代数
2007-05-23 v1 组合数学
摘要
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 Gr\"obner 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.
引用
@article{arxiv.math/0506045,
title = {On a Grobner bases structure associated to linear codes},
author = {M. Borges-Quintana and M. Borges-Trenard and E. Martinez-Moro},
journal= {arXiv preprint arXiv:math/0506045},
year = {2007}
}
备注
Subbmited to International Mathematics Research Notices