On a secondary construction of quadratic APN functions K. V. Kalgin, V. A. Idrisova
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ArticleSubject(s): векторные булевы функции | APN-функции | квадратичная функцияGenre/Form: статьи в журналах Online resources: Click here to access online
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Прикладная дискретная математика. Приложение № 13. С. 37-39Abstract: Almost perfect nonlinear functions possess the optimal resistance to the differential cryptanalysis and are widely studied. Most known constructions of APN functions are obtained as functions over finite fields F27 and very little is known about combinatorial constructions in F2n. We consider how to obtain a quadratic APN function in n + 1 variables from a given quadratic APN function in n variables using special restrictions on new terms.
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Almost perfect nonlinear functions possess the optimal resistance to the differential cryptanalysis and are widely studied. Most known constructions of APN functions are obtained as functions over finite fields F27 and very little is known about combinatorial constructions in F2n. We consider how to obtain a quadratic APN function in n + 1 variables from a given quadratic APN function in n variables using special restrictions on new terms.
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