码分复用系统的纠错码

依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。其特点是既实现码分复用，又具有纠错能力，提高系统的传输可靠性。合路器是一种同构映射运算，将ｍ路有限域上的线性分组码唯一地映射成有限环上的单一码字，实现在宽带信道上同时传输ｍ路数据。收端经逆映射完成分路，一旦发生信道传输错误时，译码器在各码纠错能力范围内实现纠错。文中叙述了复用系统线性分组码的编译码方法，给出了同构映射运算的算法。

Error Correcting Codes in Code Division Multiplexing Systems

According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring,the linear block code for multiplexing systems is proposed. It not only implements multiplexing but also provides error correction capability,improving transmission reliability of multiplexing systems. The mixer is an isomorphic mapping which transforms uniguely from m codewords on Galois fields into a single codeword on a finite ring. The codeword is sent through one sideband channel. At the receiver, the inverse isomorphic mapping is applied to obtain separation. Once transmission errors appear,decoders will correct errors inside of error correction capability of a variety of codes. Coding and decoding schemes are presented in this paper. The isomorphic mapping a algorithm is given.