Investigations on c-Boomerang Uniformity and Perfect Nonlinearity
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Authors
Stӑnicӑ, Pantelimon
Subjects
Boolean
p-ary functions
c-differentials
Walsh transform
differential uniformity
perfect and almost perfect c-nonlinearity
p-ary functions
c-differentials
Walsh transform
differential uniformity
perfect and almost perfect c-nonlinearity
Advisors
Date of Issue
2020-04-27
Date
Publisher
ArXiv
Language
Abstract
We defined in [21] a new multiplicative c-differential, and the corresponding c-differential uniformity and we characterized the known perfect nonlinear functions with respect to this new concept, as well as the inverse in any characteristic. The work was continued in [29], investigating the c-differential uniformity for some further APN functions. Here, we extend the concept to the boomerang uniformity, introduced at Eurocrypt ’18 by Cid et al. [16], to evaluate S-boxes of block ciphers, and investigate it in the context of perfect nonlinearity and related functions.
Type
Preprint
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Series/Report No
Department
Applied Mathematics (MA)
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Identifiers
NPS Report Number
Sponsors
Funder
Format
31 p.
Citation
Stanica, Pantelimon. "Investigations on $ c $-Boomerang Uniformity and Perfect Nonlinearity." arXiv preprint arXiv:2004.11859 (2020).
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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.