Doi: http://dx.doi.org/10.15446/recolma.v48n2.54122
1Universidad del Norte, Barranquilla, Colombia. Email: jdelacruz@uninorte.edu.co
2Universidad del Norte, Barranquilla, Colombia. Email: isgutier@uninorte.edu.co ]]>
En este artículo presentamos un resumen de algunos de los resultados más importantes sobre códigos lineales binarios y autoduales con un automorfismo de orden primo impar que se han establecido en los últimos años. Además por medio de un automorfismo de orden 59 construimos 24 nuevos [120,60]-códigos binarios autoduales, doblemente pares optimales.
Palabras clave: Códigos lineales, códigos binarios, códigos autoduales, códigos doblemente pares, códigos extremales, códigos optimales, automorfismos de códigos.
In this paper we present a survey of the most important results on binary self-dual linear codes with an automorphism of odd prime order, which have been established in recent years. Additionally, through an automorphism of order 59, we show that there are at least 24 new binary, self dual doubly even optimal [120,60]-codes.
Key words: Linear codes, Binary codes, Self dual codes, Doubly even codes, Extremal codes, Automorphisms.
Referencias
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv48n2a02,
AUTHOR = {de la Cruz, Javier and Gutierrez, Ismael and Robinson, Jorge},
TITLE = {{Códigos autoduales con un automorfismo de orden primo impar}},
JOURNAL = {Revista Colombiana de Matemáticas}, ]]>
YEAR = {2014},
volume = {48},
number = {2},
pages = {135--163}
}