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.
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras Computer Science - Information Theory Mathematics - Number Theory
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
Externí odkaz:	http://arxiv.org/abs/2006.12116 Zobrazit plný text záznamu View this record from Arxiv