Chinese remainder codes are constructed by applying the weak block design and Chinese remainder theorem of ring theory. The new type of linear codes are to take the con- gruence class in the congruence class ring R/I1∩I2∩…∩In for the information bit, to em- bed R/Ji into R/I1∩I2∩…∩In as a subring of R/I1∩I2∩…∩In, and to regard the cosets of R/Ji in R/I1∩I2∩…∩In as check lines. There exist many code classes in chinese remainder codes, which have higher code rate. Chinese remainder codes are essential generalization of Sun Zhi codes. |