  Multi-twisted (MT) codes were introduced as a generalization of quasi-twisted
(QT) codes. QT codes have been known to contain many good codes. In this work,
we show that codes with good parameters and desirable properties can be
obtained from MT codes. These include best known and optimal classical codes
with additional properties such as reversibility and self-duality, and new and
best known non-binary quantum codes obtained from special cases MT codes. Often
times best known quantum codes in the literature are obtained indirectly by
considering extension rings. Our constructions have the advantage that we
obtain these codes by more direct and simpler methods. Additionally, we found
theoretical results about binomials over finite fields that are useful in our
search.
