NDLI: Constructions of 1-Resilient Boolean Functions with High Nonlinearity and Good Algebraic Degree

Content Provider	IET Digital Library
Author	Ge, Hui Sun, Yujuan Zhuo, Zepeng
Abstract	Three of the most essential criteria for cryptographically strong Boolean functions are resiliency, high nonlinearity and high algebraic degree. We give a technique for constructing 1-resilient Boolean functions with high nonlinearity via modifying PS - class bent functions. The main technique is to extend the support of bent functions in PS - class by additionally defining two different plateaued functions on two suitably chosen subspaces. A large class of highly nonlinear 1-resilient functions which were not known earlier are obtained.
Starting Page	667
Ending Page	671
Page Count	5
ISSN	10224653
Volume Number	29
e-ISSN	20755597
Issue Number	Issue 4, Jul (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/cje/29/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/cje.2020.05.011
Journal	Chinese Journal of Electronics
Publisher Date	2020-07-01
Access Restriction	Open
Rights Holder	© Chinese Institute of Electronics
Subject Keyword	1-resilient Boolean Functions 1-resilient Functions Algebra Bent Function Boolean Function Cryptographically Strong Boolean Function Cryptography Data Security Defining Two Different Plateaued Function Good Algebraic Degree High Algebraic Degree Modifying PS Class Optimisation Technique
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Electrical and Electronic Engineering

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Constructions of 1-Resilient Boolean Functions with High Nonlinearity and Good Algebraic Degree