Cryptographic Defence With Embedded Audio Based on Bernoulli Numbers

Yıl 2019, Cilt: 3 Sayı: 4, 159 - 163, 28.12.2019

Muharrem Tuncay Gençoğlu

Öz

As a result of the
digitalizing world, the importance of communication security continues to
increase. Encryption, which is one of the most important elements of
communication security, has become a powerful tool for information security in
many applications. In this study, the applications of Bernoulli numbers in the
field of influence have been examined and an encryption method based on this
has been proposed and applied. The performance of the proposed method was also
analyzed.          

Anahtar Kelimeler

Cryptography, Bernoulli numbers, Cryptographic Defence

Kaynakça

• Referans1 Koç, Ç.K. Cryptographic Engineering, Springer. PP 125-128, 2009.
• Referans2 Paar, C. and Pelzl, J. Understanding Cryptography, Springer 2010.
• Referans3 Martin, K.M. Everyday Cryptography Fundamental Principles and Applications, Oxford University Press 2012.
• Referans4 Delfs, H. and Knebl, H. Introduction to Cryptography Principles and Applications, Springer 2007.
• Referans5 Tianping Zhang, Yuankui Ma “ On Generalized Fibonacci Polynomials and Bernoulli Numbers” Journalof Integer Sequences, Vol. 8 (2005), pp1-6
• Referans6 M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.
• Referans7 Hoggat VE. “Fibonacci and Lucas numbers”. Palo Alto, CA: Houghton-Mifflin; 1969.
• Referans8 Tony D. Noe, Jonathan Vos Post “ Primes in Fibonacci n-step and Lucas n-step Sequences” Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.4, pp1-12.
• Referans9 T. Koshy, Fibonacci and Lucas Numbers with Applications, John Wile y and Sons, NY, 2001.
• Referans10 R.A. Mollin, An Introduction to Cryptography, Chapman, 2007.
• Referans11 K.R. Sudha, A.C. Sekhar, P. Reddy, Cryptography Protection of Digital Signals using Some Recurrence Relations, Ijcsns, 7(5) (2007), pp.203-207.
• Referans12 M. Vural, M.T. Gençoğlu, Embedded Audıo Codıng Usıng Laplace Transform For Turkısh Letters, Journal of the Technical University - Sofia Plovdiv branch, Bulgaria “Fundamental Sciences and Applications”, Vol. 24 (2018), pp.109-116.