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ЖУРНАЛЫ // Математические вопросы криптографии

Матем. вопр. криптогр., 2014, том 5, выпуск 2, страницы 71–78 (Mi mvk118)

A method for generation of high-nonlinear S-boxes based on gradient descent
O. V. Kazymyrov, V. N. Kazymyrova, R. V. Oliynykov

Список литературы

1. Crama Y., Hammer P. L., Boolean Models and Methods in Mathematics, Computer Science, and Engineering, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 2010  mathscinet  zmath
2. Oliynykov R., Kazymyrov O., “An impact of S-box Boolean function properties to strength of modern symmetric block ciphers”, Radio Engineering, 166, Kharkiv, 2011, 11–17
3. Rijmen V., Cryptanalysis and design of iterated block ciphers, PhD Thesis, University of Leuven, 1997
4. Kazymyrov O., Oliynykov R., Vectorial Boolean functions application for substitutions generation for symmetric cryptographic transformation, Applied Radio Electronics, Kharkiv, 2012 (In Russian)
5. Budaghyan L., Kazymyrov O., “Verification of restricted EA-equivalence for vectorial Boolean functions”, Lect. Notes Comput. Sci., 7369, 2012, 108–118  crossref  mathscinet  zmath
6. Tesa Ř. P., “A new method for generating high non-linearity S-boxes”, Radioengineering, 19:1 (2010), 23–26  isi
7. Izbenko Y., Kovtun V., Kuznetsov A., The design of Boolean functions by modified hill climbing method, http://eprint.iacr.org/2008/111.pdf, 10.03.2013
8. Millan W., Clark A., Dawson E., “Boolean function design using hill climbing methods”, Lect. Notes Comput. Sci., 1587, 1999, 1–11  crossref  zmath
9. Daemen J., Rijmen V., AES proposal: Rijndael, http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf, 10.03.2013
10. Logachev O. A., Salnikov A. A., Yaschenko V. V., Boolean functions in coding theory and cryptology, MCCME, Moscow, 2004 (In Russian)  mathscinet
11. Yu Y., Wang M., Li Y., Constructing differential 4-uniform permutations from know ones, http://eprint.iacr.org/2011/047.pdf, 10.03.2013


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