ENCAPSULATING SECRET ENCRYPTION KEY SUBSCRIBERS OPEN COMMUNICATION CHANNELS BASED ON GENERALIZED GALOIS MATRIX

Authors

  • Анатолий Яковлевич Белецкий National Aviation University

DOI:

https://doi.org/10.18372/2410-7840.17.9464

Keywords:

key exchange protocol, one-way functions, generalized matrix Galois like matrix, extended Galois field, the ratio of isomorphism.

Abstract

The article describes the methods of formation of secretencryption keys two subscribers of publiccommunications networks. The key generation participateboth parties network. Based key exchange protocol laidasymmetric algorithms (two-key) cryptography. Thesolution involves the synthesis of the key functions of thecalculation of one-way and is based on the use of suchgeneralized matrix Galois. As the similaritytransformation matrix selected permutation matrix. Formatrices Galois developed a simple method forconstructing them, named by diagonal fill. Generalizedmatrix Galois related by the isomorphism with thegenerators and their components depend on the selectedirreducible polynomial generating matrix. Discussedoptions for building the operational methods change theencryption keys for each communication session with theground control UAV.

Author Biography

Анатолий Яковлевич Белецкий, National Aviation University

Doctor of Science, Professor, HonoredScientist of Ukraine, Laureate of the State Prize of Ukraine in Science and Technology, Professor of Department Electronics of National Aviation University.

References

Иран объявил о захвате американского беспилотника. / http://zn.ua

Ивонин М. В. Криптографические протоколы распределения ключей для групп с динамическим составом участников. / www.itsecure.org.ua

Введение в криптографию: новые математические дисциплины. Учебник/ под ред. В.В. Ященко. – СПб: Питер, 2001. – 287 с.

Коутинхо С. Введение в теорию чисел. Алгоритм RSA. / С. Коухтиньо. — Постмаркет, 2007. – 328 с.

Megrelishvili R. Investigation of new matrix-key function for the public cryptosystems. / R. Megrelishvili, M. Chelidze, G. Besiashvili. The Third

International Conference “Problems of cybernetics and Information”, Volume 1, September 6-8, Baku,Azerbaijan, Section N1, “Information and Communication Technologies”, 2010, pp. 75-78.

Поточные шифры. Результаты зарубежной открытой криптологии. – М., 1997. / [Электронный ресурс]. – Режим доступа: ttp//www/

ssl/stu/neva/ru/psw/crypto/potok/st r_ciph.htm

Муллажонов Р. В. Обобщенное транспонирование матриц и структуры линейных крупномасштабных систем. / Р. В. Муллажонов //Доповіді НАНУ, 2009, № 10. С. 27-35.

Однонаправленные функции. / http: // crypto.pp.ua/2010/06/odnonapravlennye- funkcii/

Лидл Р. Конечные поля. Монография в 2-х томах. / Р. Лидл, Г. Нидеррайтер. Т. 1. – М.: Мир, 1988. – 432 с.

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Published

2015-11-03

How to Cite

Белецкий, А. Я. (2015). ENCAPSULATING SECRET ENCRYPTION KEY SUBSCRIBERS OPEN COMMUNICATION CHANNELS BASED ON GENERALIZED GALOIS MATRIX. Ukrainian Information Security Research Journal, 17(3), 190–195. https://doi.org/10.18372/2410-7840.17.9464

Issue

Vol. 17 No. 3 (2015)

Section

Articles

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