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Yıl 2018, Cilt: 1 Sayı: 1, 29 - 32, 11.03.2018

Alijon Bozorbayevicha Sattarov , Bakhtiyor Fayzievich Abdurahimov

https://doi.org/10.32323/ujma.393155

Öz

Kaynakça

  • [1] A. Eilertsen, K. Kazymyrov, V. Kazymyrova, M. Storetvedt, A Sage Library For Analysis Of Nonlinear Binary Mappings, Selmer Center, Department of Informatics, University of Bergen, Norway. CECC’14, May 21, 2014.
  • [2] A. Sokolov, New methods of synthesis of non-linear transformations of the modern encryptions, LAP LAMBERT Academic Publishing house (Saarbrucken, Germany), 2015. ISBN: 978-3-659-67440-2.
  • [3] J. Daemen, The design of Rijndael: AES-the advanced encryption standard, Berlin; Heidelberg: Springer, 2002.
  • [4] N. Courtois, J. Pieprzyk, Cryptanalysis of block ciphers with overdefined systems of equations, ASIACRYPT, 2002. – P. 267-287.
  • [5] O. A. Logachev, A. A. Salnikov, V. V. Yashchenko, S. Smyshlyaev, Boolean functions in the theory of coding and cryptology, Institute of problems of an inform.security of MSU. – 2nd prod., additional – M.: MTsNMO, 2012. – 583 pages.
  • [6] S. Fischer and W. Meier, Algebraic Immunity of S-boxes and Augmented Functions, FHNW, CH-5210 Windisch, Switzerland.
  • [7] Y. Yu, Constructing Differentially 4 Uniform Permutations from Known Ones, Chinese Journal of Electronics. – 2013. – Vol. 22, No. 3. – River 495–499.

An algorithm for constructing S-boxes for block symmetric encryption

Yıl 2018, Cilt: 1 Sayı: 1, 29 - 32, 11.03.2018

Alijon Bozorbayevicha Sattarov , Bakhtiyor Fayzievich Abdurahimov

https://doi.org/10.32323/ujma.393155

Öz

This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box created, with the algebraic immunity 3 (441) and nonlinearity 104. The algorithm given in this article can be used for oscillation of $S(8\times 8)$)-boxes with the increased resistance to algebraic, linear, differential and linear and differential methods of a cryptanalysis, for block symmetric algorithms of encryption.

Anahtar Kelimeler

S-box algebraic cryptanalysis algebraic immunity nonlinearity

Kaynakça

  • [1] A. Eilertsen, K. Kazymyrov, V. Kazymyrova, M. Storetvedt, A Sage Library For Analysis Of Nonlinear Binary Mappings, Selmer Center, Department of Informatics, University of Bergen, Norway. CECC’14, May 21, 2014.
  • [2] A. Sokolov, New methods of synthesis of non-linear transformations of the modern encryptions, LAP LAMBERT Academic Publishing house (Saarbrucken, Germany), 2015. ISBN: 978-3-659-67440-2.
  • [3] J. Daemen, The design of Rijndael: AES-the advanced encryption standard, Berlin; Heidelberg: Springer, 2002.
  • [4] N. Courtois, J. Pieprzyk, Cryptanalysis of block ciphers with overdefined systems of equations, ASIACRYPT, 2002. – P. 267-287.
  • [5] O. A. Logachev, A. A. Salnikov, V. V. Yashchenko, S. Smyshlyaev, Boolean functions in the theory of coding and cryptology, Institute of problems of an inform.security of MSU. – 2nd prod., additional – M.: MTsNMO, 2012. – 583 pages.
  • [6] S. Fischer and W. Meier, Algebraic Immunity of S-boxes and Augmented Functions, FHNW, CH-5210 Windisch, Switzerland.
  • [7] Y. Yu, Constructing Differentially 4 Uniform Permutations from Known Ones, Chinese Journal of Electronics. – 2013. – Vol. 22, No. 3. – River 495–499.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Alijon Bozorbayevicha Sattarov

Bakhtiyor Fayzievich Abdurahimov

Yayımlanma Tarihi 11 Mart 2018
Gönderilme Tarihi 10 Şubat 2018
Kabul Tarihi 6 Mart 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA Sattarov, A. B., & Abdurahimov, B. F. (2018). An algorithm for constructing S-boxes for block symmetric encryption. Universal Journal of Mathematics and Applications, 1(1), 29-32. https://doi.org/10.32323/ujma.393155
AMA Sattarov AB, Abdurahimov BF. An algorithm for constructing S-boxes for block symmetric encryption. Univ. J. Math. Appl. Mart 2018;1(1):29-32. doi:10.32323/ujma.393155
Chicago Sattarov, Alijon Bozorbayevicha, ve Bakhtiyor Fayzievich Abdurahimov. “An Algorithm for Constructing S-Boxes for Block Symmetric Encryption”. Universal Journal of Mathematics and Applications 1, sy. 1 (Mart 2018): 29-32. https://doi.org/10.32323/ujma.393155.
EndNote Sattarov AB, Abdurahimov BF (01 Mart 2018) An algorithm for constructing S-boxes for block symmetric encryption. Universal Journal of Mathematics and Applications 1 1 29–32.
IEEE A. B. Sattarov ve B. F. Abdurahimov, “An algorithm for constructing S-boxes for block symmetric encryption”, Univ. J. Math. Appl., c. 1, sy. 1, ss. 29–32, 2018, doi: 10.32323/ujma.393155.
ISNAD Sattarov, Alijon Bozorbayevicha - Abdurahimov, Bakhtiyor Fayzievich. “An Algorithm for Constructing S-Boxes for Block Symmetric Encryption”. Universal Journal of Mathematics and Applications 1/1 (Mart 2018), 29-32. https://doi.org/10.32323/ujma.393155.
JAMA Sattarov AB, Abdurahimov BF. An algorithm for constructing S-boxes for block symmetric encryption. Univ. J. Math. Appl. 2018;1:29–32.
MLA Sattarov, Alijon Bozorbayevicha ve Bakhtiyor Fayzievich Abdurahimov. “An Algorithm for Constructing S-Boxes for Block Symmetric Encryption”. Universal Journal of Mathematics and Applications, c. 1, sy. 1, 2018, ss. 29-32, doi:10.32323/ujma.393155.
Vancouver Sattarov AB, Abdurahimov BF. An algorithm for constructing S-boxes for block symmetric encryption. Univ. J. Math. Appl. 2018;1(1):29-32.
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