It's well known that MDS, AMDS or self dual codes have good algebraic properties, and are applied in communication systems, data storage, quantum codes, and so on. In this paper, we focus on a class of generalized Roth-Lempel linear codes which are not not equivalent to linear codes in [21],[22] and give an equivalent condition for them or their dual to be non RS MDS, AMDS or non RS self-dual and some corresponding examples.

翻译：众所周知，MDS码、AMDS码或自对偶码具有良好的代数性质，并广泛应用于通信系统、数据存储、量子编码等领域。本文研究一类广义Roth-Lempel线性码，它们与文献[21]、[22]中的线性码不等价，并给出了该类码或其对偶码成为非RS MDS码、AMDS码或非RS自对偶码的等价条件，同时提供了若干相应的实例。