Chinese Remainder Codes

Abstract:

      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∩…∩I_n for the information bit, to em- bed R/J_i into R/I₁∩I₂∩…∩I_n as a subring of R/I₁∩I₂∩…∩I_n, and to regard the cosets of R/J_i in R/I₁∩I₂∩…∩I_n 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.