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Cyclic Codes over the ℤ_4 + uℤ_4 + vℤ_4 + wℤ_4 + uvℤ_4
Abstract
In this paper, we investigate linear codes and cyclic codes over the ring R_B=ℤ_4 + uℤ_4 + vℤ_4 + wℤ_4 + uvℤ_4, where u^2=u, v^2=v, w^2=w, uv=vu, uw=vw=0 . We also define a Gray map from R_B to Z_4^5.