5 research outputs found
Weierstrass Semigroup, Pure Gaps and Codes on Kummer Extensions
We determine the Weierstrass semigroup at one and two totally ramified places
in a Kummer extension defined by the affine equation over , the algebraic closure of ,
where are pairwise distinct elements, and
. For an arbitrary function field, from the
knowledge of the minimal generating set of the Weierstrass semigroup at two
rational places, the set of pure gaps is characterized. We apply these results
to construct algebraic geometry codes over certain function fields with many
rational places.Comment: 24 page
Dynamical Systems Theory
The quest to ensure perfect dynamical properties and the control of different systems is currently the goal of numerous research all over the world. The aim of this book is to provide the reader with a selection of methods in the field of mathematical modeling, simulation, and control of different dynamical systems. The chapters in this book focus on recent developments and current perspectives in this important and interesting area of mechanical engineering. We hope that readers will be attracted by the topics covered in the content, which are aimed at increasing their academic knowledge with competences related to selected new mathematical theoretical approaches and original numerical tools related to a few problems in dynamical systems theory