Some new binary quasi-cyclic codes from codes over the ring F₂ + u F₂ + v F₂ + u v F₂

We consider quasi-cyclic codes over the ring F₂ + u F ₂ + v F₂ + u v F₂, a finite non-chain ring that has been recently studied in coding theory. The Gray images of these codes are shown to be binary quasi-cyclic codes. Using this method we have obtained seventeen new binary quasi-cyclic codes that are new additions to the database of binary quasi-cyclic codes. Moreover, we also obtain a number of binary quasi-cyclic codes with the same parameters as best known binary linear codes that otherwise have more complicated constructions.