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Using the numerical solution for partial fractional differential equation by ADI numerical method to cryptography in Hill matrix system. (English) Zbl 1505.65239

MSC:

65L99 Numerical methods for ordinary differential equations
94A60 Cryptography
34A08 Fractional ordinary differential equations
Full Text: DOI

References:

[1] Al-Ukaily, Hanan A.A., “Using(ADI)method to find anumerical solution of fractional partial differential equation” un published M.S.C.Tikrit University 2015.
[2] Bruce Schneier, John Wiley, and Sons, Inc. Applied cryptography, second Edition, ISBN.0471128457 Pub Data : 1/1/1996.
[3] Agnew, G.B., “Random sources for cryptographic systems” Advances in cryptographic . EURO CRXPT 87 (LNCS 304), 77-81, 1988. · Zbl 1464.94023
[4] Angulo, J. M.; Ruiz-Medina, M. D.; Anh, U. V.; Grecksch, W., Fractional diffusion and fractional heat equation, Adv. Appl. prob, 32, 1077-1099 (2000) · Zbl 0986.60077 · doi:10.1017/S0001867800010478
[5] Bellaro, M.; Kilian, J.; Rogaway, P., the security of the cipher block chaining message authentication code, Journal of Computer and System Sciences, 61, 3, 362-399 (2000) · Zbl 0970.68054 · doi:10.1006/jcss.1999.1694
[6] Abu Hammad, M.; Khalil, R., . conformable fractional heat differential equation, International Journal of Pure and Applied Mathematics, 94 · Zbl 1321.34008
[7] Goldwasser, Shafi and Bellare, Mihir. 2001. Lecture Notes on Cryptography. MIT, Cambridge, Massachusetts. Link: https://crisesdeim.urv.cat/criptologia/goldwasserbellarelecturenoteson cryptography.pdf No.2, 2014, 215-221 · Zbl 0722.68042
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