The Dual and the Gray Image of Codes over $\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$
نویسندگان
چکیده
v Fq and their Gray images, where v 3 = v. We define the Lee weight of the elements of R, we give a Gray map from R to F 3n q and we give the relation between the dual and the Gray image of a code. This allows us to investigate the structure and properties of self-dual cyclic, formally self-dual and the Gray image of formally self-dual codes over R. Further, we give several constructions of formally self-dual codes over R.
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