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Constacyclic codes over F_q + u F_q + v F_q + u v F_q
Published 11 Jul 2015 in cs.IT and math.IT | (1507.03084v3)
Abstract: Let q be a prime power and F_q be a finite field. In this paper, we study constacyclic codes over the ring F_q+ u F_q +v F_q+ u v F_q, where u2=u, v2=v and uv=vu. We characterized the generator polynomials of constacyclic codes and their duals using some decomposition of this ring. We also define a gray map and characterize the Gray images of self-dual cyclic codes over F_q+uF_q+vF_q+uvF_q.
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