Families of traceability codes based on the Chinese Remainder Theorem

In this paper we present constructions of traceability codes based on the Chinese Remainder Theorem. Taking into account the non-uniformity of the alphabet of the code, we derive a new expression for the minimum distance that allows us to provide a criterion to obtain traceability codes with the maximum number of code words. In order to make the traceability conditions as independent as possible of the code parameters, we also present a new family of non-uniform alphabet codes whose tracing capabilities only depend on the code length.