Research of the relationships between the operations in matrix models of cryptographic transformation

Authors

  • V. G. Babenko Cherkasy State Technological University, Shevchenko blvd, 460, Cherkasy, 18006, Ukraine, Ukraine https://orcid.org/0000-0003-2039-2841
  • N. V. Lada Cherkasy State Technological University, Shevchenko blvd, 460, Cherkasy, 18006, Ukraine, Ukraine
  • S. V. Lada Bohdan Khmelnytsky National University of Cherkasy, Shevchenko blvd, 81, Cherkasy, Ukraine, Ukraine

DOI:

https://doi.org/10.24025/2306-4412.1.2016.78343

Keywords:

cryptographic transformation, operation, matrix model, relationships, direct and reverse transformation, permutation, group, cycle, symmetric and asymmetric transformation, encryption, decryption, basic matrix, left and right substitution

Abstract

Data encryption is based on the sequence of cryptographic transformation operations. To decrypt the encrypted data it is necessary to know the sequence of operations for information decrypting. Therefore, an increase in the number of operations suitable for cryptographic transformation of information would allow to build data protection algorithms with better cryptographic properties.

Author Biographies

V. G. Babenko, Cherkasy State Technological University, Shevchenko blvd, 460, Cherkasy, 18006, Ukraine

Ph.D., associate professor, associate professor of information security and computer engineering chair

N. V. Lada, Cherkasy State Technological University, Shevchenko blvd, 460, Cherkasy, 18006, Ukraine

postgraduate student

S. V. Lada, Bohdan Khmelnytsky National University of Cherkasy, Shevchenko blvd, 81, Cherkasy, Ukraine

postgraduate student

References

Babenko, V. G. and Lada, N. V. (2014). Synthesis and analysis of cryptographic addition operations modulo two. Systemy obrobky informaciyi, 2 (118), pp. 116–118 [in Ukrainian].

Babenko, V. G. (2012). The research of matrix operations of cryptographic transformation based on arithmetic modulo. Systemy upravlinnya, navigatsiyi ta zvyazku, 4 (24), pp. 85–88 [in Ukrainian].

Golub, S. V., Babenko, V. G. and Rudnytsky, S. V. (2012). The method of synthesis of cryptographic transformation operations based on addition modulo two. Systemy obrobky informaciyi, 3 (101), vol. 1, pp. 119– 122 [in Ukrainian].

Rudnicki, V. N. and Milchevich, V. Ya (eds.) (2014) The cryptographic coding: сollective monograph. Kharkov : Schedraya usadba plus, 240 p. [in Russian].

Ganyushkin, O. G. and Bezuschak, O. O. (2005) Groups theory: manual for students of mechanics and mathematics faculty. Kyiv: Vydav.-poligraf. tsentr "Kyivskyy universytet", 123 p. [in Ukrainian].

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How to Cite

Babenko, V. G., Lada, N. V., & Lada, S. V. (2016). Research of the relationships between the operations in matrix models of cryptographic transformation. Bulletin of Cherkasy State Technological University, 1(1). https://doi.org/10.24025/2306-4412.1.2016.78343

Issue

No. 1 (2016)

Section

Статті

URN

http://vtn.chdtu.edu.uaurn:2306:4455bulletinchstu.v1i1.78343

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