Permutation polynomials of finite fields of even characteristic from character sums
Fuente:
arXiv
Saved in:
| Main Authors: | Chen, Ruikai, Mesnager, Sihem |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On a Class of Permutation Rational Functions Involving Trace Maps
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
On a Class of Permutation Polynomials and Their Inverses
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
Characterizations of a Class of Planar Functions over Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
An in-depth study of the power function $x^{q+2}$ over the finite field $\mathbb{F}_{q^2}$: the differential, boomerang, and Walsh spectra, with an application to coding theory
by: Mesnager, Sihem, et al.
Published: (2024)
by: Mesnager, Sihem, et al.
Published: (2024)
On sesquilinear forms over finite fields
by: Chen, Ruikai
Published: (2025)
by: Chen, Ruikai
Published: (2025)
The Differential and Boomerang Properties of a Class of Binomials
by: Mesnager, Sihem, et al.
Published: (2024)
by: Mesnager, Sihem, et al.
Published: (2024)
Classification of quadratic forms over finite fields with maximal and minimal Artin-Schreier curves
by: Chen, Ruikai
Published: (2024)
by: Chen, Ruikai
Published: (2024)
A general approach to permutation polynomials from quadratic forms
by: Chen, Ruikai
Published: (2025)
by: Chen, Ruikai
Published: (2025)
Permutation polynomials over finite fields by the local criterion
by: Wu, Danyao, et al.
Published: (2024)
by: Wu, Danyao, et al.
Published: (2024)
Estimates for short character sums evaluated at homogeneous polynomials
by: Chu, Rena
Published: (2025)
by: Chu, Rena
Published: (2025)
Recovering polynomials over finite fields from noisy character values
by: Kopparty, Swastik
Published: (2026)
by: Kopparty, Swastik
Published: (2026)
Some new results on permutation trinomials over finite fields with even characteristic
by: Garg, Kirpa, et al.
Published: (2025)
by: Garg, Kirpa, et al.
Published: (2025)
Some permutation pentanomials over finite fields of even characteristic
by: Kousar, Farhana, et al.
Published: (2024)
by: Kousar, Farhana, et al.
Published: (2024)
Permutation Polynomials of the form $L(X)+γTr_q^{q^3}(h(X))$ over finite fields with even characteristic
by: Pang, Xuan, et al.
Published: (2025)
by: Pang, Xuan, et al.
Published: (2025)
Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor
by: Gorodetsky, Ofir, et al.
Published: (2023)
by: Gorodetsky, Ofir, et al.
Published: (2023)
Large quadratic character sums
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields
by: Cheng, Kaimin, et al.
Published: (2025)
by: Cheng, Kaimin, et al.
Published: (2025)
Residue sums of Dickson polynomials over finite fields
by: Brazelton, Thomas, et al.
Published: (2021)
by: Brazelton, Thomas, et al.
Published: (2021)
Estimates for trilinear and quadrilinear character sums
by: Fouvry, Étienne, et al.
Published: (2024)
by: Fouvry, Étienne, et al.
Published: (2024)
The distribution of the maximum of cubic character sums
by: Lamzouri, Youness, et al.
Published: (2024)
by: Lamzouri, Youness, et al.
Published: (2024)
Note on large quadratic character sums
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Cotangent power sums and character coordinates
by: Girstmair, Kurt
Published: (2025)
by: Girstmair, Kurt
Published: (2025)
Large character sums with multiplicative coefficients
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Quadratic character sums with multiplicative coefficients
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Moments of quadratic Dirichlet character sums
by: Toma, Yuichiro
Published: (2025)
by: Toma, Yuichiro
Published: (2025)
Permutation polynomials over finite fields from low-degree rational functions
by: Garg, Kirpa, et al.
Published: (2025)
by: Garg, Kirpa, et al.
Published: (2025)
A note on monogenic even polynomials
by: König, Joachim
Published: (2025)
by: König, Joachim
Published: (2025)
The sum-product phenomenon for dense subsets of finite fields
by: Shao, Xuancheng
Published: (2026)
by: Shao, Xuancheng
Published: (2026)
Large sums of high order characters II
by: Mangerel, Alexander P., et al.
Published: (2024)
by: Mangerel, Alexander P., et al.
Published: (2024)
The distribution of large values of mixed character sums
by: Iggidr, Amine
Published: (2026)
by: Iggidr, Amine
Published: (2026)
Large quadratic character sums with multiplicative coefficients
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
The distribution of large quadratic character sums and applications
by: Lamzouri, Youness
Published: (2022)
by: Lamzouri, Youness
Published: (2022)
Large values of character sums with multiplicative coefficients
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Large values of quadratic character sums revisited
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Average sizes of mixed character sums
by: Wang, Victor Y., et al.
Published: (2024)
by: Wang, Victor Y., et al.
Published: (2024)
On the distribution of very short character sums
by: Nosal, Paweł
Published: (2025)
by: Nosal, Paweł
Published: (2025)
On weighted multilinear polynomial averages in finite fields
by: Hong, Guo-Dong
Published: (2025)
by: Hong, Guo-Dong
Published: (2025)
On the correlations between character sums of division polynomials under shifts
by: Bhakta, Subham, et al.
Published: (2025)
by: Bhakta, Subham, et al.
Published: (2025)
On existence of primitive normal elements of rational form over finite fields of even characteristic
by: Hazarika, Himangshu, et al.
Published: (2020)
by: Hazarika, Himangshu, et al.
Published: (2020)
Similar Items
-
On a Class of Permutation Rational Functions Involving Trace Maps
by: Chen, Ruikai, et al.
Published: (2023) -
On a Class of Permutation Polynomials and Their Inverses
by: Chen, Ruikai, et al.
Published: (2023) -
Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023) -
Characterizations of a Class of Planar Functions over Finite Fields
by: Chen, Ruikai, et al.
Published: (2023) -
An in-depth study of the power function $x^{q+2}$ over the finite field $\mathbb{F}_{q^2}$: the differential, boomerang, and Walsh spectra, with an application to coding theory
by: Mesnager, Sihem, et al.
Published: (2024)