In this paper, the concepts of secondly extended complex-rotary codes and their dual
codes are proposed on the basis of extended complex-rotary codes. Their characters are discussed
preliminarily, and the method for their construction and their principle parameters are presented. By
comparing the proposed codes with extended complex-rotary codes and their dual codes, it is shown
that they are error controlling codes, the correction capacity of which is powerful and the code rate
of which is high.