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Autocorrelation Coefficients of Two Classes of Semi-Bent Functions |
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PP: 85-97 |
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Author(s) |
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Xuelian Li,
Yupu Hu,
Juntao Gao,
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Abstract |
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| Low autocorrelation is an important prerequisite of Boolean functions when used as
combiners in stream ciphers. In this paper, we investigate the autocorrelation of two
classes of semi-bent functions constructed by Charpin et al.. We give all the autocorrelation
coefficients of these semi-bent functions and prove that they have not correlation
immune. Our results show that, although these semi-bent functions have good nonlinearity,
they have high autocorrelations. The cipher constructed by these semi-bent
functions can be prone to differential-like cryptanalysis, and they can not resist correlation
attacks. These potential weakness have to be considered before we deploy them
in applications. |
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