Dickson Polynomials that are Permutations

Cipu, Mihai

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 2-3, page 177-194
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result.Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.

How to cite

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Cipu, Mihai. "Dickson Polynomials that are Permutations." Serdica Mathematical Journal 30.2-3 (2004): 177-194. <http://eudml.org/doc/219638>.

@article{Cipu2004,
abstract = {2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result.Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.},
author = {Cipu, Mihai},
journal = {Serdica Mathematical Journal},
keywords = {Dickson Polynomial; Gröbner Basis; Permutation Polynomial; Dickson polynomials; Gröbner basis; permutation polynomial},
language = {eng},
number = {2-3},
pages = {177-194},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Dickson Polynomials that are Permutations},
url = {http://eudml.org/doc/219638},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Cipu, Mihai
TI - Dickson Polynomials that are Permutations
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 177
EP - 194
AB - 2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result.Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.
LA - eng
KW - Dickson Polynomial; Gröbner Basis; Permutation Polynomial; Dickson polynomials; Gröbner basis; permutation polynomial
UR - http://eudml.org/doc/219638
ER -

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