Geodesic
Statistical estimation of the significant arguments set of the binary vector-function with corrupted values
Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 41-61

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Let $\Theta$ be the set of significant arguments of the unknown binary vector-function with the random uniformly distributed arguments and corrupted values. Algorithm for constructing the estimate $\Theta^*$ of $\Theta$ based on statistical estimates of function spectrum is proposed. For some function classes (particularly, for vectorial bent-functions and bijective mappings) we get asymptotic bounds of the data size sufficient for the successful work of the algorithm, i.e. $\mathbf P\{\Theta^*=\Theta\}\to1$. 
@article{MVK_2014_5_a2,
     author = {O. V. Denisov},
     title = {Statistical estimation of the significant arguments set of the binary vector-function with corrupted values},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {41--61},
     publisher = {mathdoc},
     volume = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2014_5_a2/}
}
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O. V. Denisov. Statistical estimation of the significant arguments set of the binary vector-function with corrupted values. Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 41-61. http://geodesic.mathdoc.fr/item/MVK_2014_5_a2/