Galois环上的广义Reed-Solomon码

Generalized Reed-Solomon Codes over Galois Rings

通过Galois环上的循环码给出Galois环上RS码的定义,并讨论了RS码的对偶码.另外,对Galois环上RS码的一个简单的推广,并对广义RS码给出详细的叙述.

RS code over the Galois Ring is defined through the cyclic codes over Galois rings, and the dual code of the RS code is also put under discussion. In addition, the generalized RS code, as a simple generalization of RS code on the Ga｜ois ring, is given a detailed description.