Publication:
Low c-differential uniformity for functions modified on subfields

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Authors
Bartoli, Daniele
Calderini, Marco
Riera, Constanza
Stănică, Pantelimon
Subjects
Boolean and p-ary functions
c-differentials
differential uniformity
perfect and almost perfect c-nonlinearity
Advisors
Date of Issue
2021-12-07
Date
Publisher
Language
Abstract
In this paper, we construct some piecewise defined functions, and study their c-differential uniformity. As a by-product, we improve upon several prior results. Further, we look at concatenations of functions with low differential uniformity and show several results. For example, we prove that given βi (a basis of Fqn over Fq), some functions fi of c-differential uniformities δi , and Li (specific linearized polynomials defined in terms of βi), 1 ≤ i ≤ n, then F(x) = Pn i=1 βifi(Li(x)) has c-differential uniformity equal to Qn i=1 δi .
Type
Preprint
Description
Series/Report No
Department
Applied Mathematics
Mathematics and Informatics
Informatics
Computer Science
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
20 p.
Citation
Bartoli, Daniele, et al. "Low c-differential uniformity for functions modified on subfields." 2021.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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