In this paper we solve an open question formulated in the original paper of twisted skew group codes regarding when a twisted skew group code is checkable. Also, we prove that all ideals of dimension 3 over a twisted group algebra are abelian group codes, generalising another previous result over group algebras. Finally, we prove a bound on the dimension and distance of a twisted group code, as well as when such bound is reached.

翻译：本文解决了扭曲斜群码原始文献中提出的一个公开问题，即何时扭曲斜群码是可校验的。此外，我们证明了扭曲群代数上所有维数为3的理想都是阿贝尔群码，从而推广了先前关于群代数的另一结果。最后，我们证明了扭曲群码的维数与距离的一个界，并给出了该界达到的条件。