Error function analysis is an effective attack against chaotic cryptograph[PRE 66, 065202(R) (2002)]. The basin structure of the error function iscrucial for determining the security of chaotic cryptosystems. In the presentpaper the basin behavior of the system used in [21] is analyzed in relationwith the estimation of its practical security. A S-box algebraic operation isincluded in the chaotic cryptosystem, which considerably shrinks the basin ofthe error function and thus greatly enhances the practical security of thesystem with a little computational expense. PACS numbers: 05.45.Vx, 05.45.Ra
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