M. G. Sarabia, Joel Nava Lara, Carlos Rentería Márquez, Eliseo Sarmiento Rosales
2013.11.1ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
tlooto Summary
The main parameters of the parameterized codes arising from cycles are computed and in many cases the upper bound is sharper than the Singleton bound.
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 nd 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.
Citation format
SARABIA, M. G., et al. Parameterized codes over cycles. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21: 241–256.