@misc{10481/71426,
year = {2021},
month = {10},
url = {http://hdl.handle.net/10481/71426},
abstract = {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.},
organization = {Agencia Estatal de Investigacion (AEI)	PID2019-110525GB-I00},
organization = {European Commission},
publisher = {Elsevier},
keywords = {Global function field},
keywords = {Central simple algebra},
keywords = {Hasse invariants},
keywords = {Primitive idempotent},
keywords = {Skew constacyclic convolutional code},
title = {Primitive idempotents in central simple algebras over Fq(t) with an application to coding theory},
doi = {10.1016/j.ffa.2021.101935},
author = {Gómez Torrecillas, José and Kutas, P. and Lobillo Borrero, Francisco Javier and Navarro Garulo, Gabriel},
}