Monomial Boolean functions with large high-order nonlinearities

Exhibiting an explicit Boolean function with a large high-order nonlinearity is an important problem in cryptography, coding theory, and computational complexity. We prove lower bounds on the second-order, third-order, and higher order nonlinearities of some monomial Boolean functions. We prove lowe...

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Bibliographic Details

Published in:	Information and computation Vol. 297; p. 105152
Main Authors:	Gao, Jinjie, Kan, Haibin, Li, Yuan, Xu, Jiahua, Wang, Qichun
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.03.2024
Subjects:	High-order nonlinearity Linear kernel Lower bound Monomial Boolean function Trace function Lower bound High-order nonlinearity Trace function Monomial Boolean function Linear kernel
ISSN:	0890-5401, 1090-2651
Online Access:	Get full text
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