Abstract
In this paper skew cyclic codes over the the family of rings Fq+vFq with v2 = v are studied for the first time in its generality. Structural properties of skew cyclic codes over Fq + vFq are investigated through a decomposition theorem. It is shown that skew cyclic codes over this ring are principally generated. The idempotent generators of skew-cyclic codes over Fq and Fq+vFq have been considered for the first time in literature. Moreover, a BCH type bound is presented for the parameters of these codes. © 2014 AIMS.
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CITATION STYLE
Gursoy, F., Siap, I., & Yildiz, B. (2014). Construction of skew cyclic codes over Fq + vFq. Advances in Mathematics of Communications, 8(3), 313–322. https://doi.org/10.3934/amc.2014.8.313
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