摘要
We prove that the class of -linear codes is exactly the class of -linear codes with automorphism group of even order. Using this characterization, we give examples of known codes, e.g. perfect codes, which have a nontrivial structure. Moreover, we exhibit some examples of -linear codes which are not -linear. Also, we state that the duality of -linear codes is the same as the duality of -linear codes. Finally, we prove that the class of -linear codes which are also -linear is strictly contained in the class of -linear codes.
- 出版日期2018-7