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On (1 + u)-Cyclic and Cyclic Codes over F2 + uF2 + vF2

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

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Abstract (2. Language): 
It is studied codes over the ring R = F2+uF2+vF2, u2 = 0, v2 = v, uv = vu = 0 which contains the two ring F2 +uF2, u2 = 0 and F2 + vF2, v2 = v. It is introduced (1+u)-cyclic codes and cyclic codes over F2 +uF2 + vF2. It is characterized codes over F2 + vF2 which are the images of (1+u)-cyclic codes and cyclic codes over F2 +uF2 + vF2. It is obtained a representation of a linear code of length n over R by means of C1 and C2 which are linear codes of length n over F2 + uF2. It is also characterized codes over F2 which are the Gray images of (1 + u)-cyclic codes or cyclic codes over F2 + uF2 + vF2.
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REFERENCES

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