Título: A note about the traceability properties of linear codes
Autor: Fernández Muñoz, Marcel; Cotrina Navau, Josep; Soriano Ibáñez, Miguel; Domingo, Neus
Resumen: We characterize the traceability properties of linear codes. It is well known that any code of length n and minimum distance d is a c-TA code if c 2¿<¿n/(n¿-¿d). In this paper, we show that a less restrictive condition can be derived. In other words, there exists a value Z C , with n¿-¿d¿=¿Z C ¿=¿c(n¿-¿d), such that any linear code is c-TA if c¿<¿n/Z C . We also prove that in many cases this condition is also necessary. These results are applied to cyclic and Reed-Solomon codes.
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