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 |
. |
Category:
|
math |
. |
MSC:
|
12F10 |
idZBL:
|
Zbl 0671.12006 |
idMR:
|
MR946299 |
DOI:
|
10.21136/CMJ.1988.102225 |
. |
Date available:
|
2008-06-09T15:21:14Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102225 |
. |
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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