TY - JOUR
T1 - Parameterized codes over cycles
AU - González Sarabia, Manuel
AU - Nava Lara, Joel
AU - Rentería Márquez, Carlos
AU - Sarmiento Rosales, Eliseo
PY - 2013
Y1 - 2013
N2 - In this paper we will compute the main parameters of the parameteri- zed 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.
AB - In this paper we will compute the main parameters of the parameteri- zed 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.
KW - Cycle
KW - Minimum distance
KW - Parameterized code
UR - http://www.scopus.com/inward/record.url?scp=84888592478&partnerID=8YFLogxK
U2 - 10.2478/auom-2013-0056
DO - 10.2478/auom-2013-0056
M3 - Artículo
SN - 1224-1784
VL - 21
SP - 241
EP - 255
JO - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
JF - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
IS - 3
ER -