In mathematics, the Dickson polynomials (or Brewer polynomials), denoted Dn(x,α), form a polynomial sequence introduced by L. E. Dickson () and… (More)

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2012

2012

- Cunsheng Ding
- ArXiv
- 2012

Due to their efficient encoding and decoding algorithms, cyclic codes, a subclass of linear codes, have applications in… (More)

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2010

2010

- Mihai Cipu, Piotr Pragacz
- 2010

A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a… (More)

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2009

2009

- Xiang-dong Hou, Gary L. Mullen, James A. Sellers, Joseph L. Yucas
- Finite Fields and Their Applications
- 2009

Reversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x, a) over finite fields by reversing… (More)

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Highly Cited

2008

Highly Cited

2008

- Pascale Charpin, Guang Gong
- IEEE Transactions on Information Theory
- 2008

This paper is devoted to the study of hyperbent functions in n variables, i.e., bent functions which are bent up to a change of… (More)

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2008

2008

- M. Anwar Hasan, Christophe Nègre
- WAIFI
- 2008

We study Dickson bases for binary field representation. Such representation seems interesting when no optimal normal basis exists… (More)

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Highly Cited

2006

Highly Cited

2006

- Hans Dobbertin, Patrick Felke, Tor Helleseth, Petri Rosendahl
- IEEE Transactions on Information Theory
- 2006

Suppose that n=2k is even. We study the cross-correlation function between two m-sequences for Niho type decimations d=(2/sup k… (More)

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2006

2006

- Domingo Gómez-Pérez, Jaime Gutierrez, Igor E. Shparlinski
- Finite Fields and Their Applications
- 2006

We give new bounds of exponential sums with sequences of iterations of Dickson polynomials over prime finite fields. This result… (More)

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2000

2000

In his Ph.D. Thesis of 1897, Dickson introduced certain permutation polynomials whose Galois groups are essentially the dihedral… (More)

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1999

1999

We derive the factorizations of the Dickson polynomials Dn(X, a) and En(X, a), and of the bivariate Dickson polynomials Dn(X, a… (More)

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1983

1983

- Clarence Wilkerson
- 1983

The ring of invariant forms of the full linear group GL(V ) of a finite dimensional vector space over the finite field Fq was… (More)

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