Abstract
In this paper, we study λ-constacyclic codes over the ring R = ℤ4 + uℤ4, where u2 = 0, for λ =1 + 3u and 3 + u. We introduce two new Gray maps from R to [Formula: see text] and show that the Gray images of λ-constacyclic codes over R are quasi-cyclic over ℤ4. Moreover, we present many examples of λ-constacyclic codes over R whose ℤ4-images have better parameters than the currently best-known linear codes over ℤ4.
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