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The autocorrelation distribution of balanced Boolean function
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DOI：10.1007/s11704-013-2013-x.png)
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摘要
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The global avalanche characteristics (the sum-of-squares indicator and the absolute indicator) measure the overall avalanche characteristics of a cryptographic Boolean function. Sung et al. (1999) gave the lower bound on the sum-of-squares indicator for a balanced Boolean function satisfying the propagation criterion with respect to some vectors. In this paper, if balanced Boolean functions satisfy the propagation criterion with respect to some vectors, we give three necessary and sufficient conditions on the auto-correlation distribution of these functions reaching the minimum the bound on the sum-of-squares indicator. And we also find all Boolean functions with 3-variable, 4-variable, and 5-variable reaching the minimum the bound on the sum-of-squares indicator.
Keyword:
Boolean functions
auto-correlation distribution
global avalanche characteristics
balanced
propagation criterion
期刊
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4.6
论文数:
1.6K
被引数:
2.8K
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