On the construction of irreducible polynomials over finite fields via odd prime degree endomorphisms of elliptic curves
Sign Up to like & getrecommendations! Published in 2018 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-017-0216-x
Abstract: In this paper we present an iterative construction of irreducible polynomials over finite fields based on repeated applications of transforms induced by endomorphisms of odd prime degree of ordinary elliptic curves. read more here.
Keywords: irreducible polynomials; polynomials finite; finite fields; odd prime ... See more keywords
Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.09.005
Abstract: Abstract We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew left braces. Besides we determine the separable field extensions of degree… read more here.
Keywords: degree twice; twice odd; field; odd prime ... See more keywords