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Title: Construction of normal bases in cyclic extensions of a field (English)
Author: Schwarz, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 38
Issue: 2
Year: 1988
Pages: 291-312
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Category: math
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MSC: 12F10
idZBL: Zbl 0671.12006
idMR: MR946299
DOI: 10.21136/CMJ.1988.102225
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Date available: 2008-06-09T15:21:14Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102225
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Reference: [1] Albert A. A.: Fundamental Concepts of Higher Algebra.The Univ. of Chicago Press, 1956. Zbl 0073.00802, MR 0098735
Reference: [2] Berlekamp E. R.: Algebraic Coding Theory.Mc. Graw-Hill Company, New York, 1968. Zbl 0988.94521, MR 0238597
Reference: [3] Jacobson N.: Lectures in Abstract Algebra.D. Van Nostrand Соmр., New York, Volume III, 1964. Zbl 0124.27002, MR 0172871
Reference: [4] Lidl R., Niederreiter H.: Finite Fields.Addison-Wesley Publ. Соmр., Reading, Massachusetts, 1983. Zbl 0554.12010, MR 0746963
Reference: [5] Ore O.: Contributions to the theory of finite fields.Trans. Amer. Mat. Soc. 36 (1934), 243-274. Zbl 0009.10003, MR 1501740, 10.1090/S0002-9947-1934-1501740-7
Reference: [6] Rédei L.: Algebra.Akad. Verlagsgesellschaft, Leipzig 1959. MR 0106151
Reference: [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. MR 0032669
Reference: [8] Schwarz Š.: On the reducibility of polynomials over a finite field.Quart. J. of Math. (Oxford) (2) 7 (1956), 110-124. Zbl 0071.01703, MR 0096679, 10.1093/qmath/7.1.110
Reference: [9] Van der Waerden B. L.: Algebra I (1971) and II (1967).(Russian edition, 1976).
Reference: [10] Conway J. H.: A tabulation of some information concerning finite fields.Computers in Mathematical Research, pp. 37-50, North-Holland, Amsterdam, 1968. Zbl 0186.07602, MR 0237467
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