2000 character limit reached
Skew constacyclic codes over a class of finite commutative semisimple rings (2205.08964v2)
Published 18 May 2022 in cs.IT, math.IT, and math.RA
Abstract: In this article, we study skew constacyclic codes over a class of finite commutative semisimple rings. The automorphism group of $\mathcal{R}=\prod_{i=1}t F_q$ 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 $\mathcal{R}$ to matrix product codes over $F_q,$ some optimal linear codes over finite fields are obtained.