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In 2005, Zhang and Wang proposed an improved signature scheme without using one-way hash functions. Even they used bitwise exclusive-or to against multiplicative attack, and the exclusive-or is easy to implement, and more fast. But they may have misused order of operation in mathematical precedence. In this comment, we would like to point out an error in the related work and scheme as follows.Index Terms-Digital signature; One-way hash function; Mathematical precedence 2010 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery 978-0-7695-4235-5/10 $26.00