Skew constacyclic codes over a class of finite commutative semisimple rings

05/18/2022

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by   Ying Zhao, et al.

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In this article, we study skew constacyclic codes over a class of finite commutative semisimple rings. The automorphism group of ℛ=∏_i=1^t F_q is determined, and we characterize skew constacyclic codes over ring by linear codes over finite field. We also define homomorphisms which map linear codes over ℛ to matrix product codes over F_q, some optimal linear codes over finite fields are obtained.