Orthogonal systems of polynomials in finite fields-Reference-Cited by-同舟云学术

Orthogonal systems of polynomials in finite fields

Published:1971 Issue:2 Volume:28 Page:415-422
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Niederreiter H.

Abstract

The notion of an orthogonal system of polynomials in several variables in finite fields is introduced which generalizes a concept of orthogonality by Kurbatov and Starkov. Necessary and sufficient conditions for orthogonality in terms of character sums and permutation polynomials are given. Results of Carlitz on systems of equations in finite fields and earlier results of the author on permutation polynomials in several variables are generalized.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-028-02/S0002-9939-1971-0291136-9/S0002-9939-1971-0291136-9.pdf

Reference6 articles.

1. Invariantive theory of equations in a finite field;Carlitz, L.;Trans. Amer. Math. Soc.,1953

2. \bysame, Invariant theory of systems of equations in a finite field, J. Analyse Math.

3. General theory of modular invariants;Dickson, Leonard Eugene;Trans. Amer. Math. Soc.,1909

4. The analytic representation of permutations;Kurbatov, V. A.;Sverdlovsk. Gos. Ped. Inst. U\v{c}en. Zap.,1965

5. Permutation polynomials in several variables over finite fields;Niederreiter, Harald;Proc. Japan Acad. 46 (1970), no. 10, suppl. to,1970

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