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New Construction Methods on Multiple Output Resilient Boolean Functions with High Nonlinearity

Luyang LI, Linhui WANG, Dong ZHENG, Qinlan ZHAO

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Summary :

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.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.2 pp.87-92
Publication Date
2022/02/01
Publicized
2021/08/10
Online ISSN
1745-1337
DOI
10.1587/transfun.2021EAP1041
Type of Manuscript
PAPER
Category
Cryptography and Information Security

Authors

Luyang LI
  Xi'an University of Posts and Telecommunications
Linhui WANG
  Xi'an University of Posts and Telecommunications
Dong ZHENG
  Xi'an University of Posts and Telecommunications,Westone Cryptologic Research Center (CRC)
Qinlan ZHAO
  Xi'an University of Posts and Telecommunications

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