Families of twisted tensor product codes
arXiv:1107.1066 · doi:10.1007/s10623-012-9613-6
Abstract
Using geometric properties of the variety $\cV_{r,t}$, the image under the Grassmannian map of a Desarguesian -spread of $\PG(rt-1,q)$, we introduce error correcting codes related to the twisted tensor product construction, producing several families of constacyclic codes. We exactly determine the parameters of these codes and characterise the words of minimum weight.
Keywords: Segre Product, Veronesean, Grassmannian, Desarguesian spread, Subgeometry, Twisted Product, Constacyclic error correcting code, Minimum weight