The Generalized Method of Generation of Abelian Matrix Multiplicative Finite Field and a New One-Way Matrix Function
Authors: R.Megrelishvili, M. Jinjikhadze
Affiliation: Tbilisi Iv. Javakhishvili's house State University, Tbilisi, Georgia and Akaki Tsereteli State University, Kutaisi, Georgia
Category:
Keywords: აბელის სასრული ველი, ასიმეტრიული კრიპტოგრაფია, მატრიცული ცალმხრივი ფუნქცია, მაღალი რიგის მატრიცული სასრული ველი
ABSTRACT. This paper presents an original one-way matrix function and a generalized method of generating its appropriate high-order finite matrix field. The general algorithm for building primitive matrix elements through the insertion-extension method is discussed.
References:
Megrelishvili R., Chelidze M., Chelidze K., “On the construction of secret and public-key cryptosystems”, in Applied Mathematics, Informatics and Mechanics, Tbilisi,Georgia: Tbilisi University Press, vol. 11, No2, 2006, pp.29-36
Megrelishvili R., Chelidze M., Besiashvili G., “One-way matrix function – analogy of DiffieHellman protocol”, in Proceedings of the Seventh International Conference, IES-2010, 28 September-3 Oktober, Vinnytsia, Ukraine, 2010. pp. 341-344
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