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Matematicheskie Zametki, 2005, Volume 78, Issue 1, Pages 16–25
DOI: https://doi.org/10.4213/mzm2556 (Mi mzm2556) 		 
On Polynomials of Special Form over a Finite Field of Odd Characteristic Attaining the Weil Bound

L. A. Bassalygo, V. A. Zinov'ev

Institute for Information Transmission Problems, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm2556
Abstract: An explicit construction of polynomials over a finite field of odd characteristic, for which the absolute value of trigonometric sums attains the Weil bound, is based on the construction of cyclic matrices of given rank. Dickson polynomials of the second kind play an essential role in the study of such matrices.
Received: 06.04.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 1, Pages 14–22
DOI: https://doi.org/10.1007/s11006-005-0094-z
Bibliographic databases:
UDC: 512.624
Language: Russian
Citation: L. A. Bassalygo, V. A. Zinov'ev, “On Polynomials of Special Form over a Finite Field of Odd Characteristic Attaining the Weil Bound”, Mat. Zametki, 78:1 (2005), 16–25; Math. Notes, 78:1 (2005), 14–22
Citation in format AMSBIB
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