On some special codes over Fp + uFp + uFp |
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Authors: | Y Cengellenmis |
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Institution: | Trakya University, Faculty of Science, Department of Mathematics, Edirne, Turkey |
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Abstract: | We define a new map between codes over Fp + uFp + u2Fp and Fp which is different to that defined in 2]. It is proved that the image of the linear cyclic code over the commutative ring Fp + uFp + u2Fp with length n under this map is a distance-invariant quasi-cyclic code of index p2 with length p2n over Fp. Moreover, it is proved that, if (n, p) = 1, then every code with length p2n over Fp which is the image of a linear (1 − u2)-cyclic code with length n over Fp + uFp + u2Fp under this map is permutation equivalent to a quasi-cyclic code of index p2. |
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Keywords: | Cyclic codes Constacyclic codes Quasi-cyclic codes Codes over rings Linear codes Gray map |
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