Polynomials of Special Form over a Finite Field with an Exact Value of the Trigonometric Sum
Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 3-10
Cet article a éte moissonné depuis la source Math-Net.Ru
We present an explicit construction for polynomials of special form over a finite field whose trigonometric sum is exactly known.
Keywords:
polynomial of special form, finite field, (multiple) trigonometric sum, Weil bound.
@article{MZM_2007_82_1_a0,
author = {L. A. Bassalygo and V. A. Zinov'ev},
title = {Polynomials of {Special} {Form} over a {Finite} {Field} with an {Exact} {Value} of the {Trigonometric} {Sum}},
journal = {Matemati\v{c}eskie zametki},
pages = {3--10},
year = {2007},
volume = {82},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a0/}
}
TY - JOUR AU - L. A. Bassalygo AU - V. A. Zinov'ev TI - Polynomials of Special Form over a Finite Field with an Exact Value of the Trigonometric Sum JO - Matematičeskie zametki PY - 2007 SP - 3 EP - 10 VL - 82 IS - 1 UR - http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a0/ LA - ru ID - MZM_2007_82_1_a0 ER -
L. A. Bassalygo; V. A. Zinov'ev. Polynomials of Special Form over a Finite Field with an Exact Value of the Trigonometric Sum. Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a0/
[1] L. A. Bassalygo, V. A. Zinovev, “Mnogochleny spetsialnogo vida nad konechnym polem s maksimalnym modulem trigonometricheskoi summy”, UMN, 52:2 (1997), 31–44 | MR | Zbl
[2] R. Lidl, G. Niderraiter, Konechnye polya, Mir, M., 1988 | MR | Zbl
[3] A. V. Malyshev, O predstavlenii tselykh chisel polozhitelnymi kvadratichnymi formami, Tr. MIAN, 65, Nauka, M., 1962 | MR | Zbl
[4] L. A. Bassalygo, V. A. Zinovev, “O mnogochlenakh nad konechnym polem chetnoi kharakteristiki s maksimalnym znacheniem modulya trigonometricheskoi summy”, Matem. zametki, 72:2 (2002), 171–177 | MR | Zbl