Construction of normal bases in cyclic extensions of a field

Štefan Schwarz

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 2, page 291-312
  • ISSN: 0011-4642

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Schwarz, Štefan. "Construction of normal bases in cyclic extensions of a field." Czechoslovak Mathematical Journal 38.2 (1988): 291-312. <http://eudml.org/doc/13705>.

@article{Schwarz1988,
author = {Schwarz, Štefan},
journal = {Czechoslovak Mathematical Journal},
keywords = {existence of a normal basis; cyclic extensions},
language = {eng},
number = {2},
pages = {291-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Construction of normal bases in cyclic extensions of a field},
url = {http://eudml.org/doc/13705},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Schwarz, Štefan
TI - Construction of normal bases in cyclic extensions of a field
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 291
EP - 312
LA - eng
KW - existence of a normal basis; cyclic extensions
UR - http://eudml.org/doc/13705
ER -

References

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  2. Berlekamp E. R., Algebraic Coding Theory, Mc. Graw-Hill Company, New York, 1968. (1968) Zbl0988.94521MR0238597
  3. Jacobson N., Lectures in Abstract Algebra, D. Van Nostrand Соmр., New York, Volume III, 1964. (1964) Zbl0124.27002MR0172871
  4. Lidl R., Niederreiter H., Finite Fields, Addison-Wesley Publ. Соmр., Reading, Massachusetts, 1983. (1983) Zbl0554.12010MR0746963
  5. Ore O., 10.1090/S0002-9947-1934-1501740-7, Trans. Amer. Mat. Soc. 36 (1934), 243-274. (1934) Zbl0009.10003MR1501740DOI10.1090/S0002-9947-1934-1501740-7
  6. Rédei L., Algebra, Akad. Verlagsgesellschaft, Leipzig 1959. (1959) MR0106151
  7. Schwarz Š., On the reducibility of binomial congruences and the bound of the least integer belonging to a given exponent (mod p), Časopis pěst. mat. fys. 74 (1949), 1-16. (1949) Zbl0033.16101MR0032669
  8. Schwarz Š., 10.1093/qmath/7.1.110, Quart. J. of Math. (Oxford) (2) 7 (1956), 110-124. (1956) Zbl0071.01703MR0096679DOI10.1093/qmath/7.1.110
  9. Van der Waerden B. L., Algebra I (1971) and II (1967), (Russian edition, 1976). (1976) Zbl0192.33002
  10. Conway J. H., A tabulation of some information concerning finite fields, Computers in Mathematical Research, pp. 37-50, North-Holland, Amsterdam, 1968. (1968) Zbl0186.07602MR0237467

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