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Some primitive elements for the Artin-Schreier extensions of finite fields

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Publication:904546
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DOI10.1007/s10958-015-2548-5zbMath1335.12001OpenAlexW2200762558MaRDI QIDQ904546

Roman B. Popovych

Publication date: 13 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2548-5


zbMATH Keywords

finite fieldmultiplicative orderprimitive element


Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20)


Related Items (1)

High order elements in finite fields arising from recursive towers



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Elements of high order in finite fields of the form
  • Finite field elements of high order arising from modular curves
  • Elements of high order in finite fields of the form \(\mathbb F_q[x/(x^m-a)\)]
  • Elements of high order in Artin-Schreier extensions of finite fields
  • On the construction of finite field elements of large order
  • Handbook of Finite Fields
  • ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME
  • The period of the Bell numbers modulo a prime
  • Aurifeuillian factorizations and the period of the Bell numbers modulo a prime


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