| Title:
|
Irreducible polynomials over finite fields with linearly independent roots (English) |
| Author:
|
Schwarz, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1988 |
| Pages:
|
147-158 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11T06 |
| MSC:
|
12F05 |
| idZBL:
|
Zbl 0653.12012 |
| idMR:
|
MR945368 |
| . |
| Date available:
|
2009-09-25T10:08:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136468 |
| . |
| Reference:
|
[1] CONWAY J. H.: A tabulation of some information concerning finite fields.Computers in Mathematical Research, North-Holland, Amsterdam, 1968, 37-50. Zbl 0186.07602, MR 0237467 |
| Reference:
|
[2] LIDL R., NIEDERREITER H.: Finite Fields.Addison-Wesley Publ. Comp., Reading, Mass., 1983. Zbl 0554.12010, MR 0746963 |
| Reference:
|
[3] ORE O.: Contributions to the theory of finite fields.Trans. Amer. Mat. Soc. 36, 1934, 243-274. Zbl 0009.10003, MR 1501740 |
| Reference:
|
[4] PEI D. Y., WANG C. C., OMURA J. K.: Normal basis offinite field GF(2m).IEEE Trans. on Inform. Theory, IT-32, 1986, 285-287. MR 0838417 |
| Reference:
|
[5] PERLIS S.: Normal bases of cyclic fields of prime-power degree.Duke Math. J. 9, 1942, 507-517. MR 0007005 |
| Reference:
|
[6] PETERSON W. W., WELDON E. J.: Error-Correcting Codes.M.I.T. Press, Cambridge, Mass., 1972. Zbl 0251.94007, MR 0347444 |
| Reference:
|
[7] SCHWARZ Š.: On the reducibility of binomial congruences and the bound of the least integer belonging to a given exponent (mod p).Časop. 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 |
| Reference:
|
[9] SCHWARZ Š.: Construction of normal bases in cyclic extensions of a field.(To appear in the Czech. Math. J.) Zbl 0671.12006, MR 0946299 |
| . |
