Repeated-root constacyclic codes of length ℓp5 and their duals

@article{Chen2014RepeatedrootCC,
  title={Repeated-root constacyclic codes of length ℓp5 and their duals},
  author={Bocong Chen and Hai Q. Dinh and Hongwei Liu},
  journal={Discrete Applied Mathematics},
  year={2014},
  volume={177},
  pages={60-70}
}
An equivalence relation is introduced on the nonzero elements of the finite field Fpm to classify constacyclic codes of arbitrary length over Fpm . According to the equivalence classes, all constacyclic codes of length `p over Fpm and their duals are characterized, where ` is a prime different from p and s is a positive integer. Self-dual cyclic codes of length `p over Fpm exist precisely when p is equal to two; in this case, all self-dual cyclic codes of length 2` over F2m are presented. 

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