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Designs, Codes and Cryptography

, Volume 67, Issue 3, pp 375–384 | Cite as

Families of twisted tensor product codes

  • Luca Giuzzi
  • Valentina Pepe
Article

Abstract

Using geometric properties of the variety \({\mathcal V_{r,t}}\) , 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 determine the precise 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 

Mathematics Subject Classification (2010)

94B05 94B27 15A69 51E20 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mathematics, Facoltà di IngegneriaUniversità degli Studi di BresciaBresciaItaly
  2. 2.Department of MathematicsUniversiteit GentGentBelgium

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