On Skew Cyclic and Quasi - cyclic Codes Over F 2 + uF 2 + u 2 F 2
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چکیده
We construct a new Gray map from S to F 3n 2 where S = F2+uF2+uF2, u3 = 1. It is both an isometry and a weight preserving map. It was shown that the Gray image of cyclic code over S is quasi-cyclic codes of index 3 and the Gray image of quasi-cyclic code over S is l-quasi-cyclic code of index 3. Moreover, the skew cyclic and skew quasi-cyclic codes over S introduced and the Gray images of them are determined.
منابع مشابه
On ( 1 − um ) - Cyclic Codes over F 2 + uF 2 + u 2 F 2 + u 3 F
A new Gray map between codes over F2 +uF2 +uF2 +uF2 + ....+ uF2 and codes over F2 is defined. It is proved that the Gray image of a linear (1− um)-cyclic code over F2 + uF2 + uF2 + uF2 + .... + uF2 of length n is a binary distance invariant quasi-cylic code of index 2m−1 and length 2mn. It is also proved that if n is odd, then every code of length 2mn over F2 which is the Gray image of a linear...
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تاریخ انتشار 2015