Families of twisted tensor product codes

Authors:
Luca Giuzzi;Valentina Pepe
Affiliations:
Department of Mathematics, Facoltà di Ingegneria, Università degli Studi di Brescia, Brescia, Italy 25133;Department of Mathematics, Universiteit Gent, Gent, Belgium 9000
Venue:
Designs, Codes and Cryptography
Year:
2013

Citing 5
Cited 0

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Abstract

Using geometric properties of the variety $${\mathcal V_{r,t}}$$ , the image under the Grassmannian map of a Desarguesian (t 驴 1)-spread of PG(rt 驴 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.