An explicit description of the set of all normal bases generators of a finite field

Karol Nemoga; Štefan Schwarz

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 1, page 81-96
  • ISSN: 0011-4642

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Nemoga, Karol, and Schwarz, Štefan. "An explicit description of the set of all normal bases generators of a finite field." Czechoslovak Mathematical Journal 49.1 (1999): 81-96. <http://eudml.org/doc/30467>.

@article{Nemoga1999,
author = {Nemoga, Karol, Schwarz, Štefan},
journal = {Czechoslovak Mathematical Journal},
keywords = {normal basis; finite field},
language = {eng},
number = {1},
pages = {81-96},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An explicit description of the set of all normal bases generators of a finite field},
url = {http://eudml.org/doc/30467},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Nemoga, Karol
AU - Schwarz, Štefan
TI - An explicit description of the set of all normal bases generators of a finite field
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 81
EP - 96
LA - eng
KW - normal basis; finite field
UR - http://eudml.org/doc/30467
ER -

References

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  1. Lehrbuch der Algebra, Vol 3, Branschweig, 1928. (1928) 
  2. Finite Fields, Addison-Wesley Publ. Comp., 1983. (1983) MR0746963
  3. Finite Fields, Structure and Arithmetics, Wissenschaftsverlag, Mannheim, 1993. (1993) Zbl0779.11058MR1238714
  4. Applications of Finite Fields, Kluwer, 1992. (1992) 
  5. Algebraic theory of pseudocyclic codes, unpublished Ph. D. thesis, Math. Inst. of the Slovak Acad. of Sciences, Bratislava (1988). (1988) 
  6. The role of semigroups in the elementary theory of numbers, Math. Slovaca 31 (1981), 369–395. (1981) Zbl0474.10002MR0637966
  7. Irreducible polynomials over finite fields with linearly independent roots, Math. Slovaca 38 (1988), 147–158. (1988) Zbl0653.12012MR0945368

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