NEW TYPE OF OPTIMAL EXTENSION FIELDS AND ITS APPLICATIONS

@inproceedings{Park2001NEWTO,
  title={NEW TYPE OF OPTIMAL EXTENSION FIELDS AND ITS APPLICATIONS},
  author={Je Hong Park and Jung Hee Cheon and Sang Geun Hahn},
  year={2001}
}
In this paper, we introduce a new type of Optimal Extension Fields (OEFs) which extends the notion of previous OEF. An OEF is the class of fields Fpn , for p a Mersenne prime and n a positive integer with an irreducible binomial p(x) = x − ω over Fp. Instead of the condition of the existence of an irreducible binomial, we append the other condition of the existence of an irreducible All One Polynomial, which implies the existence of an optimal normal basis over Fp. In this case, we may choose… CONTINUE READING

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