IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
New Construction Methods on Multiple Output Resilient Boolean Functions with High Nonlinearity
Luyang LILinhui WANGDong ZHENGQinlan ZHAO
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2022 Volume E105.A Issue 2 Pages 87-92

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Abstract

Construction of multiple output functions is one of the most important problems in the design and analysis of stream ciphers. Generally, such a function has to be satisfied with several criteria, such as high nonlinearity, resiliency and high algebraic degree. But there are mutual restraints among the cryptographic parameters. Finding a way to achieve the optimization is always regarded as a hard task. In this paper, by using the disjoint linear codes and disjoint spectral functions, two classes of resilient multiple output functions are obtained. It has been proved that the obtained functions have high nonlinearity and high algebraic degree.

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© 2022 The Institute of Electronics, Information and Communication Engineers
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