【摘 要】
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We study skew cyclic codes over a class of rings R =F0 ⊕ F1 ⊕ … ⊕ Ft-1,where each Fi (i =0,...,t-1) is a finite field.We prove that a skew cyclic code of ar
【机 构】
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Division of Computational Mathematics and Engineering Institute for Computational Science, Ton Duc T
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We study skew cyclic codes over a class of rings R =F0 ⊕ F1 ⊕ … ⊕ Ft-1,where each Fi (i =0,...,t-1) is a finite field.We prove that a skew cyclic code of arbitrary length over R is equivalent to either a usual cyclic code or a quasi-cyclic code over R.Moreover,we discuss possible extension of our results in the more general setting of δR-dual skew constacyclic codes over R,where δR is an automorphism of R.
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