Araştırma Makalesi

Bijective S-boxes of different sizes obtained from quasi-cyclic codes

Cilt: 6 Sayı: 3 13 Eylül 2019
  • Dusan Bikov
  • İliya Bouyukliev
  • Stefka Bouyuklieva *
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EN

Bijective S-boxes of different sizes obtained from quasi-cyclic codes

Öz

The aim of this paper is to construct S-boxes of different sizes with good cryptographic properties. An algebraic construction for bijective S-boxes is described. It uses quasi-cyclic representations of the binary simplex code. Good S-boxes of sizes 4, 6, 8, 9, 10, 11, 12, 14, 15, 16 and 18 are obtained.

Anahtar Kelimeler

Kaynakça

  1. [1] D. Bikov, I. Bouyukliev, BoolSPLG: A library with parallel algorithms for Boolean functions and S-boxes for GPU.
  2. [2] D. Bikov, I. Bouyukliev, Parallel Fast Walsh Transform Algorithm and its implementation with CUDA on GPUs, Cybernetics and Information Technologies, Cybernetics and Information Technologies 18(5) (2018) 21–43.
  3. [3] I. Bouyukliev, D. Bikov, S. Bouyuklieva, S-boxes from binary quasi-cyclic codes, Electronic Notes in Discrete Mathematics 57 (2017) 67–72.
  4. [4] C. Carlet, Boolean Functions for Cryptography and Error Correcting Codes, In: Boolean Models and Methods in Mathematics, Computer Science, and Engineering, Crama, Hammer, Cambridge University Press, 2010.
  5. [5] C. Carlet, Vectorial Boolean Functions for Cryptography, In: Boolean Models and Methods in Mathematics, Computer Science, and Engineering, Crama, Hammer, (Eds.), Cambridge University Press, 2010.
  6. [6] E. Z. Chen, New quasi-cyclic codes from simplex codes, IEEE Trans. Inform. Theory 53(3) (2007) 1193–1196.
  7. [7] CUDA Zone.
  8. [8] J.Daeman, V.Rijmen, The Design of Rijndael, AES–the advanced encryption standard, Springer- Verlag Berlin Heidelberg, 2002.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

13 Eylül 2019

Gönderilme Tarihi

4 Temmuz 2018

Kabul Tarihi

23 Nisan 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 6 Sayı: 3

Kaynak Göster

APA
Bikov, D., Bouyukliev, İ., & Bouyuklieva, S. (2019). Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications, 6(3), 123-134. https://doi.org/10.13069/jacodesmath.617232
AMA
1.Bikov D, Bouyukliev İ, Bouyuklieva S. Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019;6(3):123-134. doi:10.13069/jacodesmath.617232
Chicago
Bikov, Dusan, İliya Bouyukliev, ve Stefka Bouyuklieva. 2019. “Bijective S-boxes of different sizes obtained from quasi-cyclic codes”. Journal of Algebra Combinatorics Discrete Structures and Applications 6 (3): 123-34. https://doi.org/10.13069/jacodesmath.617232.
EndNote
Bikov D, Bouyukliev İ, Bouyuklieva S (01 Eylül 2019) Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications 6 3 123–134.
IEEE
[1]D. Bikov, İ. Bouyukliev, ve S. Bouyuklieva, “Bijective S-boxes of different sizes obtained from quasi-cyclic codes”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 6, sy 3, ss. 123–134, Eyl. 2019, doi: 10.13069/jacodesmath.617232.
ISNAD
Bikov, Dusan - Bouyukliev, İliya - Bouyuklieva, Stefka. “Bijective S-boxes of different sizes obtained from quasi-cyclic codes”. Journal of Algebra Combinatorics Discrete Structures and Applications 6/3 (01 Eylül 2019): 123-134. https://doi.org/10.13069/jacodesmath.617232.
JAMA
1.Bikov D, Bouyukliev İ, Bouyuklieva S. Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019;6:123–134.
MLA
Bikov, Dusan, vd. “Bijective S-boxes of different sizes obtained from quasi-cyclic codes”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 6, sy 3, Eylül 2019, ss. 123-34, doi:10.13069/jacodesmath.617232.
Vancouver
1.Dusan Bikov, İliya Bouyukliev, Stefka Bouyuklieva. Bijective S-boxes of different sizes obtained from quasi-cyclic codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Eylül 2019;6(3):123-34. doi:10.13069/jacodesmath.617232

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