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Title: An explicit description of the set of all normal bases generators of a finite field (English)
Author: Nemoga, Karol
Author: Schwarz, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 49
Issue: 1
Year: 1999
Pages: 81-96
Category: math
MSC: 11T30
MSC: 12E20
idZBL: Zbl 1074.12500
idMR: MR1670866
Date available: 2009-09-24T10:20:10Z
Last updated: 2016-04-07
Stable URL:
Reference: [1] Fricke, R.: Lehrbuch der Algebra, Vol 3.Branschweig, 1928.
Reference: [2] Lidl, R.; Niedereiter, H.: Finite Fields.Addison-Wesley Publ. Comp., 1983. MR 0746963
Reference: [3] Jungnickel, D.: Finite Fields, Structure and Arithmetics.Wissenschaftsverlag, Mannheim, 1993. Zbl 0779.11058, MR 1238714
Reference: [4] Menezes, A.; Blake, I.; Gao, S.; Mullin, R.; Vanstone, S.; Yaghoobian, T.: Applications of Finite Fields.Kluwer, 1992.
Reference: [5] Nemoga, K.: Algebraic theory of pseudocyclic codes, unpublished Ph. D. thesis.Math. Inst. of the Slovak Acad. of Sciences, Bratislava (1988).
Reference: [6] Schwarz, Š.: The role of semigroups in the elementary theory of numbers.Math. Slovaca 31 (1981), 369–395. Zbl 0474.10002, MR 0637966
Reference: [7] Schwarz, Š.: Irreducible polynomials over finite fields with linearly independent roots.Math. Slovaca 38 (1988), 147–158. Zbl 0653.12012, MR 0945368


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