Publication

Back to overview

Eisenstein polynomials over function fields

Type of publication Peer-reviewed
Publikationsform Original article (peer-reviewed)
Author Dotti Edoardo, Giacomo Micheli, Dotti Edoardo, Giacomo Micheli,
Project Algebraic Constructions and Decoding of Subspace Codes
Show all

Original article (peer-reviewed)

Journal Applicable Algebra in Engineering, Communication and Computing
Volume (Issue) 27(2)
Page(s) 159 - 168
Title of proceedings Applicable Algebra in Engineering, Communication and Computing
DOI 10.1007/s00200-015-0275-2

Open Access

Abstract

In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite field. This gives a function field analogue of results by Dubickas (Appl Algebra Eng Commun Comput 14(2):127–132, 2003) and by Heyman and Shparlinski (Appl Algebra Eng Commun Comput 24(2):149–156, 2013).
-