Extended Versions of Polynomial Remainder Codes and Chinese Remainder Codes
Cheng Chen, Sian-Jheng Lin, Yunghsiang Sam Han · IEEE Communications Letters · 2018
A polynomial remainder code, derived from the Chinese remainder theorem, is a class of linear block codes, where the Reed-Solomon (RS) code is a special case. In this letter, an extended version of polynomial remainder codes is introduced, where the class of doubly extended RS codes is a special case. Furthermore, the extended version of Chinese remainder codes is also presented. The erasure decoding methods for both the codes are proposed. Finally, an application of the extended polynomial remainder codes is discussed.