F₃R-skew cyclic codes
by Amit Sharma; Maheshanand Bhaintwal
International Journal of Information and Coding Theory (IJICOT), Vol. 3, No. 3, 2016

Abstract: In this paper, a new class of skew-cyclic codes, termed as F₃R-skew cyclic codes, is defined, where R denotes the ring F₃ + uF₃, u² = u. These codes are of length α + β and are submodules of the R-module F₃^αR^β. We study some structural properties of skew cyclic codes over R and F₃R-skew cyclic codes. The generator polynomials of these codes are studied. Some examples are given to illustrate the results. An optimal ternary code is obtained as the Gray image of an F₃R-skew cyclic code.

Online publication date: Wed, 08-Jun-2016

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