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Rayleigh quotients of Dillon’s functions. / Gangopadhyay, Aditi Kar; Gangopadhyay, Sugata; Goyal, Mansi и др.

в: Quaestiones Mathematicae, 2025, стр. 1-15.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gangopadhyay, AK, Gangopadhyay, S, Goyal, M, Kutsenko, A & Mandal, B 2025, 'Rayleigh quotients of Dillon’s functions', Quaestiones Mathematicae, стр. 1-15. https://doi.org/10.2989/16073606.2025.2538113

APA

Gangopadhyay, A. K., Gangopadhyay, S., Goyal, M., Kutsenko, A., & Mandal, B. (2025). Rayleigh quotients of Dillon’s functions. Quaestiones Mathematicae, 1-15. https://doi.org/10.2989/16073606.2025.2538113

Vancouver

Gangopadhyay AK, Gangopadhyay S, Goyal M, Kutsenko A, Mandal B. Rayleigh quotients of Dillon’s functions. Quaestiones Mathematicae. 2025;1-15. doi: 10.2989/16073606.2025.2538113

Author

Gangopadhyay, Aditi Kar ; Gangopadhyay, Sugata ; Goyal, Mansi и др. / Rayleigh quotients of Dillon’s functions. в: Quaestiones Mathematicae. 2025 ; стр. 1-15.

BibTeX

@article{9b65ec308c9749beb85e65dd029191a5,
title = "Rayleigh quotients of Dillon{\textquoteright}s functions",
abstract = "The Walsh-Hadamard spectrum of a bent function uniquely determines a dual function. The duality mapping is the only isometric mapping on the set of bent functions apart from its automorphisms that preserve bentness. The Hamming distance between a bent function and its dual is related to its Rayleigh quotient. In this paper, we study the Rayleigh quotient of a class of bent functions called Dillon{\textquoteright}s functions. Carlet et al. [2] studied Rayleigh quotients of bent functions inPSap, and Danielsen et al. [4] obtained an expression in terms of character sums. In this paper, we employ another approach comprising Desarguesian spreads to obtain the complete spectrum of Rayleigh quotients of bent functions in PSap.",
keywords = "Boolean function, Walsh-Hadamard transform, self-dual bent function, Rayleigh quotient, Desarguesian spreads",
author = "Gangopadhyay, {Aditi Kar} and Sugata Gangopadhyay and Mansi Goyal and Aleksandr Kutsenko and Bimal Mandal",
year = "2025",
doi = "10.2989/16073606.2025.2538113",
language = "English",
pages = "1--15",
journal = "Quaestiones Mathematicae",
issn = "1727-933X",
publisher = "Taylor and Francis Ltd.",

}

RIS

TY - JOUR

T1 - Rayleigh quotients of Dillon’s functions

AU - Gangopadhyay, Aditi Kar

AU - Gangopadhyay, Sugata

AU - Goyal, Mansi

AU - Kutsenko, Aleksandr

AU - Mandal, Bimal

PY - 2025

Y1 - 2025

N2 - The Walsh-Hadamard spectrum of a bent function uniquely determines a dual function. The duality mapping is the only isometric mapping on the set of bent functions apart from its automorphisms that preserve bentness. The Hamming distance between a bent function and its dual is related to its Rayleigh quotient. In this paper, we study the Rayleigh quotient of a class of bent functions called Dillon’s functions. Carlet et al. [2] studied Rayleigh quotients of bent functions inPSap, and Danielsen et al. [4] obtained an expression in terms of character sums. In this paper, we employ another approach comprising Desarguesian spreads to obtain the complete spectrum of Rayleigh quotients of bent functions in PSap.

AB - The Walsh-Hadamard spectrum of a bent function uniquely determines a dual function. The duality mapping is the only isometric mapping on the set of bent functions apart from its automorphisms that preserve bentness. The Hamming distance between a bent function and its dual is related to its Rayleigh quotient. In this paper, we study the Rayleigh quotient of a class of bent functions called Dillon’s functions. Carlet et al. [2] studied Rayleigh quotients of bent functions inPSap, and Danielsen et al. [4] obtained an expression in terms of character sums. In this paper, we employ another approach comprising Desarguesian spreads to obtain the complete spectrum of Rayleigh quotients of bent functions in PSap.

KW - Boolean function

KW - Walsh-Hadamard transform

KW - self-dual bent function

KW - Rayleigh quotient

KW - Desarguesian spreads

UR - https://www.scopus.com/pages/publications/105012487884

UR - https://www.mendeley.com/catalogue/509e0308-8dcf-34d6-af61-64bca1e681ab/

U2 - 10.2989/16073606.2025.2538113

DO - 10.2989/16073606.2025.2538113

M3 - Article

SP - 1

EP - 15

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

SN - 1727-933X

ER -

ID: 68732315