Primitive idempotents in central simple algebras over $\mathbb{F}_q(t)$ with an application to coding theory
Autor: | Gómez-Torrecillas, J., Kutas, P., Lobillo, F. J., Navarro, G. |
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Rok vydání: | 2020 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We consider the algorithmic problem of computing a primitive idempotent of a central simple algebra over the field of rational functions over a finite field. The algebra is given by a set of structure constants. The problem is reduced to the computation of a division algebra Brauer equivalent to the central simple algebra. This division algebra is constructed as a cyclic algebra, once the Hasse invariants have been computed. We give an application to skew constacyclic convolutional codes. Comment: 15 pages |
Databáze: | arXiv |
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