Geodesic
An additive approach to nonlinear degree of discrete function
Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 22-33

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An additive approach to the definition of the nonlinearity degree of a discrete function is proposed. For elementary abelian groups, this notion is equivalent to ordinary “multiplicative” one. As a consequence we obtain the method for describing a stabilizer groups of a $p^m$-valued function in the transition groups.
Keywords: discrete functions, nonlinearity degree, stabilizer group. 
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     author = {A. V. Cheremushkin},
     title = {An additive approach to nonlinear degree of discrete function},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {22--33},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_2_a3/}
}
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A. V. Cheremushkin. An additive approach to nonlinear degree of discrete function. Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 22-33. http://geodesic.mathdoc.fr/item/PDM_2010_2_a3/