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A note on N-polynomials over finite fields

김기태|이익권
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.09|한국수학논문집 (Korean Journal of Mathematics)|제28권 제3호|pp. 639-647

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키워드

Normal basisN-polynomialCohen transformationQ-transormation
주제분류수학

초록

A simple type of Cohen's transformation consists of a polynomial and a linear fractional transformation. We study the effectiveness of Cohen transformation to find N-polynomials over finite fields.

Abstract

A simple type of Cohen's transformation consists of a polynomial and a linear fractional transformation. We study the effectiveness of Cohen transformation to find N-polynomials over finite fields.

참고문헌 (14)

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  10. H. Meyn, "On the construction of irreducible self-reciprocal polynomials over finite fields", App. Alg in Eng., Comm. and Comp, 1, pp.43~53 (1990)
  11. D. Pei, "Normal bases of finite field GF(2m)", IEEE Trans. Info. Th, 32, pp.285~287 (1986)
  12. S. Perlis, "Normal bases of cyclic fields of prime-power degree", Duke Math. J, 9, pp.507~517 (1942)
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  14. H. Stichtenoth, "Factorization of a class of polynomials over finite fields", Finite Fields Appl, 18, pp.108~122 (2012)

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