Families of twisted tensor product codes |
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Authors: | Luca Giuzzi Valentina Pepe |
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Affiliation: | 1. Department of Mathematics, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti 9, Brescia, 25133, Italy 2. Department of Mathematics, Universiteit Gent, Building S22, Krijgslaan 281, Gent, 9000, Belgium
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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 ? 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. |
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