The capabilities of decoding beyond the bound of the Complex-Rotary code （CRcodes） and its dual code are analyzed. It is obtained that the CR codes with normal error-correcting ability t = （p+1）/2 can correct （t+...The capabilities of decoding beyond the bound of the Complex-Rotary code （CRcodes） and its dual code are analyzed. It is obtained that the CR codes with normal error-correcting ability t = （p+1）/2 can correct （t+1）-errors up to C<sub>p<sup>2</sup>+p（p+1）</sub><sup>t+1</sup>-p<sup>2Ct</sup><sub>2t+1</sub> and itsdual code can correct （t<sub>1</sub>+1）-errors up to C<sub>p<sup>2</sup>+2tp</sub><sup>t<sub>1</sub>+1</sup>-2tpC<sub>p+1</sub><sup>t<sub>1</sub>+1</sup> where t<sub>1</sub>=（p+1）/2-1 and pis a prime.展开更多
文摘The capabilities of decoding beyond the bound of the Complex-Rotary code （CRcodes） and its dual code are analyzed. It is obtained that the CR codes with normal error-correcting ability t = （p+1）/2 can correct （t+1）-errors up to C<sub>p<sup>2</sup>+p（p+1）</sub><sup>t+1</sup>-p<sup>2Ct</sup><sub>2t+1</sub> and itsdual code can correct （t<sub>1</sub>+1）-errors up to C<sub>p<sup>2</sup>+2tp</sub><sup>t<sub>1</sub>+1</sup>-2tpC<sub>p+1</sub><sup>t<sub>1</sub>+1</sup> where t<sub>1</sub>=（p+1）/2-1 and pis a prime.
