中文

扭曲张量积码族

组合数学 2013-04-02 v1 信息论 math.IT

摘要

利用簇\cVr,t\cV_{r,t}\PG(rt1,q)\PG(rt-1,q)的德萨格(t1)(t-1)-展形在格拉斯曼映射下的像)的几何性质,我们引入了与扭曲张量积构造相关的纠错码,产生了若干常循环码族。我们精确确定了这些码的参数,并刻画了最小重量词。

关键词

引用

@article{arxiv.1107.1066,
  title  = {Families of twisted tensor product codes},
  author = {Luca Giuzzi and Valentina Pepe},
  journal= {arXiv preprint arXiv:1107.1066},
  year   = {2013}
}

备注

Keywords: Segre Product, Veronesean, Grassmannian, Desarguesian spread, Subgeometry, Twisted Product, Constacyclic error correcting code, Minimum weight