(1-uv)-constacyclic Codes over (𝔽p + U𝔽p + V𝔽p + Uv𝔽p)

@article{Yu20141uvconstacyclicCO,
  title={(1-uv)-constacyclic Codes over (𝔽p + U𝔽p + V𝔽p + Uv𝔽p)},
  author={Haifeng Yu and Shixin Zhu and Xiaoshan Kai},
  journal={J. Systems Science & Complexity},
  year={2014},
  volume={27},
  pages={811-816}
}
Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, (1 − uv)-constacyclic codes over the local ring Fp + uFp + vFp + uvFp are studied. It is proved that the image of a (1 − uv)constacyclic code of length n over Fp + uFp + vFp + uvFp under a Gray map is a distance invariant quasi-cyclic code of index p and length pn over Fp. Several examples of optimal linear codes over Fp from (1 − uv… CONTINUE READING

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