MATRIX ALGORITHMS OF ENCRYPTIC PROTECTION OF INFORMATION AND EXCHANGE OF ENCRYPTION KEY
Keywords:
a cryptographic algorithm, data encryption, primitive binary matrices
Abstract
The algorithms of the exchange of encryption keys between users of computer networks and cryptographic protection of information transmitted over open communications channels. The algorithm is based a modified asymmetric protocol Diffie-Hellman (DH). The essence of the modification amounts to the replacement of large prime numbers algorithm DH guaranteed nonsingular n-complete binary matrices of high order. The methods of synthesis of these matrices. Discussed ways to counter attacks on the encryption algorithm.
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References
1. Erosh I.L. Adresnaja peredacha soobshhenij s ispol'zovaniem matric nad polem GF(2) / Erosh I.L., Skuratov V.V. // Problemy informacionnoj bezopasnosti. Komp'juternye sistemy. 2004, №1. – S. 72-78.
2. Erosh I.L. Skorostnoe shifrovanie raznorodnyx soobshhenij / Erosh I.L., Sergeev M.B // Problemy informacionnoj bezopasnosti. 2004. № 1. S. 72 – 78.
3. Diffie W., Hellman M.E., "New Directions in Cryptography", IEEE Transactions on Information Theory, v. IT-22, no. 6, November 1976, 644-654.
4. Beleckij A.Ja. Preobrazovanija Greja. Monografija v 2-x tomax / Beleckij A.Ja., Beleckij A.A., Beleckij E.A. T.1. Osnovy teorii. – K.: Kn. izd-vo NAU, 2007. – 506 s., T.2. Prikladnye aspekty. – K.: Kn. izd-vo NAU, 2007. – 644 s.
5. Gray F. Pulse code communication. – Pat USA, № 2632058, 1953.
6. Megrelishvili R.P. Odnonapravlennaja matrichnaja funkcija – bystrodejstvujushhij analog protokola Diffi-Xellmana. / Megrelishvili R.P., Chelidze M.A., Besiashvili G.M. – Zbirnik materialiv 7-j MK «Internet-Osvita-Nauka-2010». – Vinnicja: VNTU, 2010. – S. 341-344.
7. Hill L.S. Cryptography in an Algebraic Alphabet. American Mathematical Montly, v. 36, Jun 1929, pp. 306-312.
8. Shnajer B. Prikladnaja kriptografija. Protokoly, algoritmy, isxodnye teksty na jazyke Si. – M.: «TRIUMF», 2003. – 816 s.
9. Rostovcev A.G. O matrichnom shifrovanii (kritika kriptosistemy Erosha i Skuratova) www.ssl.stu.neva.ru/psw/crypto/rostovtsev/Erosh_Skuratov.pdf
10. Smart N. Kriptografija – M.: «Texnosfera», 2005. – 528 s.
Published
2010-11-29
Pages
156-165
How to Cite
BeletskyA., BeletskyA., & StecenkoD. (2010). MATRIX ALGORITHMS OF ENCRYPTIC PROTECTION OF INFORMATION AND EXCHANGE OF ENCRYPTION KEY. Journal of Information Technologies in Education (ITE), (7), 156-165. https://doi.org/10.14308/ite000192
Section
Articles
