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Parameterized Codes over Cycles Cover

Abstract

In this paper we will compute the main parameters of the parameterized codes arising from cycles. In the case of odd cycles the corresponding codes are the evaluation codes associated to the projective torus and the results are well known. In the case of even cycles we will compute the length and the dimension of the corresponding codes and also we will find lower and upper bounds for the minimum distance of this kind of codes. In many cases our upper bound is sharper than the Singleton bound.

DOI: https://doi.org/10.2478/auom-2013-0056 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 241 - 256
Published on: Mar 5, 2014
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2014 Manuel González Sarabia, Joel Nava Lara, Carlos Rentería Marquez, Eliseo Sarmíento Rosales, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.