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Фундаментальные исследования
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ENCRYPTION BASED ON MULTIVARIATE REPRESENTATION OF VIRTUAL KEY BANDS SAMPLE SPACES

Kotenko V.V., Rumyantsev K.Ye., Polycarpov S.V., Levendyan I.B.
Implementation of key bands virtual sample spaces strategy based on multivariate performance of sample spaces takes a special place among possible variants of given strategy implementation. First of all, it speaks opening possibility of different mathematical model using. In this case multivariate performance is a collection of virtualization procedures , each of them is considered to be a separate measurement. From these positions process of virtual key creation can be represented as initial key in some M-dimensional space simultaneously on all to his(its) measurements virtualization with the subsequent unification of virtualization results into some function of this space which will represent a virtual key:

(1)

(2)

Where UNIF(.) - unification procedure;

(.) - virtualization procedure defining j-measurement;

 - initial key formed on the basis of given key data ;

- projection of virtual key onto j-measurement;

The unfolded key is formed by obtained virtual key devirtualization:

(3)

Expressions (1) - (3) define common algorithm of unfolded key creation at multivariate performance of key bands virtual sample spaces. The concrete definition of the given algorithm is carried out by unification procedure definition . Variants of such concrete definition are represented by expressions (4) and (5)

(4)

(5)

Software implementation of the algorithms given in expressions (4), (5) allowed software encryption complex creation, which opens a possibility of absolute undeciphering capability support. Experimental researches of the complex confirm its significant potential possibilities. Given results are obtained during researches at Russian Federation Education Ministry grant T02-03.1-816 support.

The bibliographic list

  1. Kotenko V.V., Polycarpov S.V. The strategy of key bands virtual sample spaces creation at information protection problem solving//Information Security Problems . 2002. №2. p 47-52.

Библиографическая ссылка

Kotenko V.V., Rumyantsev K.Ye., Polycarpov S.V., Levendyan I.B. ENCRYPTION BASED ON MULTIVARIATE REPRESENTATION OF VIRTUAL KEY BANDS SAMPLE SPACES // Фундаментальные исследования. – 2004. – № 5. – С. 89-89;
URL: http://fundamental-research.ru/ru/article/view?id=5758 (дата обращения: 27.10.2020).

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