Some new binary quasi-cyclic codes from codes over the ring F2 + uF2+vF2+uvF2
We consider quasi-cyclic codes over the ring F2+uF2+vF2+uvF2, 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
Aydin, Nuh; Karadeniz, Suat; and Yildiz, Bahattin, "Some new binary quasi-cyclic codes from codes over the ring F2 + uF2+vF2+uvF2" (2013). Faculty Publications. Paper 19.