On APN-functions and division property of multisets | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/65

HomeIssuesOn APN-functions and division property of multisets | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/65

On APN-functions and division property of multisets

In 2015, the division property was proposed as a tool to construct an integral distinguisher. According to this technique, the less the number \\n/d\\ is for a n-bit S-box of degree d, the fewer rounds might be in an integral distinguisher. In this paper, the number \\n/d\\ for some binary APN-transformations is studied. The best parameters of the APN-transformations are identified to reduce the number of rounds in the integral distinguisher.

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Keywords

APN-преобразование, разделяющее свойство, интегральный различитель, интегральный метод, APN-transformations, division property, integral distinguisher, integral crypt-analysis

Authors

NameOrganizationE-mail
Sorokin M.A.NRNU MEPhIsorokin.michael.96@yandex.ru
Pudovkina M.A.N.E. Bauman Moscow State Technical Universitymaricap@rambler.ru
Всего: 2

References

Nyberg K. and Knudsen L.R. Provable security against differential cryptanalysis // CRYPTO 1992. LNCS. 1993. V. 740. P. 566-574.
Todo Y. Structural evaluation by generalized integral property // EUROCRYPT 2015. P.I. LNCS. 2015. V. 9056. P. 287-314.
Тужилин М. Э. Почти совершенные нелинейные функции // Прикладная дискретная математика. 2009. Т. 5. №3. C. 14-20.
On APN-functions and division property of multisets | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/65

On APN-functions and division property of multisets | Applied Discrete Mathematics. Supplement. 2019. № 12. DOI: 10.17223/2226308X/12/65

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