Families of twisted tensor product codes

Details Families of twisted tensor product codes Families of twisted tensor product codes

2011-07-06

arxiv.org/abs/1107.1066v1

Mathematics

Combinatorics

Keywords: Segre Product, Veronesean, Grassmannian, Desarguesian spread, Subgeometry, Twisted Product, Constacyclic error corre

Scientific paper

Using geometric properties of the variety $\cV_{r,t}$, the image under the Grassmannian map of a Desarguesian $(t-1)$-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.

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