On the c-differential uniformity of certain maps over finite fields

Hasan S.U.; Pal M.; Riera C.; Stănică P.

Full metadata record

DC Field	Value	Language
dc.rights.license	All Open Access, Green	-
dc.contributor.author	Hasan S.U.	en_US
dc.contributor.author	Pal M.	en_US
dc.contributor.author	Riera C.	en_US
dc.contributor.author	Stănică P.	en_US
dc.date.accessioned	2023-11-30T08:40:20Z	-
dc.date.available	2023-11-30T08:40:20Z	-
dc.date.issued	2021	-
dc.identifier.issn	0925-1022	-
dc.identifier.other	EID(2-s2.0-85095585431)	-
dc.identifier.uri	https://dx.doi.org/10.1007/s10623-020-00812-0	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/525	-
dc.description.abstract	We give some classes of power maps with low c-differential uniformity over finite fields of odd characteristic, for c= - 1. Moreover, we give a necessary and sufficient condition for a linearized polynomial to be a perfect c-nonlinear function and investigate conditions when perturbations of perfect c-nonlinear (or not) function via an arbitrary Boolean or p-ary function is perfect c-nonlinear. In the process, we obtain a class of polynomials that are perfect c-nonlinear for all c≠ 1 , in every characteristic. The affine, extended affine and CCZ-equivalence is also looked at, as it relates to c-differential uniformity. © 2020, This is a U.S. Government work and not under copyright protection in the US	en_US
dc.description.abstract	foreign copyright protection may apply.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.source	Designs, Codes, and Cryptography	en_US
dc.subject	Boolean and p-ary functions	en_US
dc.subject	c-Differentials	en_US
dc.subject	Dickson polynomial	en_US
dc.subject	Differential uniformity	en_US
dc.subject	Perfect and almost perfect c-nonlinearity	en_US
dc.subject	Walsh transform	en_US
dc.title	On the c-differential uniformity of certain maps over finite fields	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article