9c062141-95ae-4850-92c1-6c2470cf9b23 beie director@blueeyesintelligence.org 10.35940/ijrte.D6515.1110421 IEEE Trans Inform TheoryDiffie22472197610.1109/TIT.1976.1055638W.Diffie, M.Hellman, New Directions in Cryptography, IEEE Trans. Inform. Theory 22(1976),472-492.10.1090/S0002-9904-1940-07306-9R. Baer, Abelian Groups that Are Direct Summands of Every Containing Abelian Group, Bull. Amer. Math. Soc. 46, 800-806, 1940.10.1007/978-3-642-80634-6_8C. Faith, Algebra: Rings, Modules and Categories, I. Berlin, p. 157, 1973.10.1017/CBO9781139173315.003T.Y.Lam, Lectures on Modules and Rings. New York: Springer-Verlag, p. 63, 1999.10.1090/S0002-9947-1965-0174592-8Y.Utumi, On Continuous Rings and Self Injective Rings,University of Rochester, Rochester, Newyork (1965)158-173.10.1109/TIT.1985.1057074T. Elgamal, A Public Key Cryptosystem and a Signature Scheme based on Discrete Logarithms, Journal and Magazine > IEEE Transactions on Information Theory, 1985, Volume 31, Issue 4, 409-472.10.1080/09720529.2009.10698270D. Poulakis, A Public Key Encryption Scheme Based on Factoring and Discrete Logarithm, Journal of Discrete Mathematical Sciences and Cryptography 12:6, 745-752(2009)10.1109/NRSC.2003.157337H. Elkamchouchi, K. Elshenawy and H.A.Shaban, Two New Public Key Techniques in the domain of Gaussian Integers, Proceedings of the Twentieth National Radio Science Conference, NRSC 2003 C17, 1-8(2003)R.A. Ferraz, C. Polcino Milies, E. Taufer, Left ideals in matrix rings over finite fields: 1711.0928v1 ,[math. RA] 25 Nov, 201710.3923/jas.2005.1692.1712K. Rabah, Security of the Cryptographic Protocols Based on Discrete Logarithm Problem, Journal of Applied Sciences 5(9): 1692-1712, 2005, ISSN 1812-5654.C. Meshram, X. Huang, S. A. Meshram, New Identity-Based Cryptographic Scheme for IFP and DLP based Cryptosystem, International Journal of Pure and Applied Mathematics, Volume 81 N0. 1 2012, 65-7910.1007/978-3-540-39927-8_28F. Bao, R.H. Deng, H.Zhu, Variations of Diffie-Hellman Problem, Variations of Diffie-Hellman Problem, International Conference on Information and Communications Security ICICS 2003: Information and Communications Security, 301-312N.Jacobson, Basic Algebra II, 2nd ed. New York: W. H.Freeman,p-196, 1989B. Worthington, An Introduction to Hill Ciphers Using Linear Algebra, University of North Texas MATH 2700.002, October 26, 2010M.Kosters, Injective Modules and the Injective Hull of a Module, November 27, 2009