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An Efficient Golden Ratio Method for Secure Cryptographic Applications

School of Engineering, Construction & Design, Melbourne Polytechnic, Preston, VIC 3072, Australia
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Math. Comput. Appl. 2018, 23(4), 58; https://doi.org/10.3390/mca23040058
Received: 17 September 2018 / Revised: 9 October 2018 / Accepted: 9 October 2018 / Published: 10 October 2018
With the increase in the use of electronic transactions in everyday life, secure communications and data storage to withstand any kind of attack is warranted. The golden ratio, being the most irrational among irrational numbers, can be used in elliptic curve cryptosystems, power analysis security, and other applications. However, in such applications, cryptographic operations should take place very quickly before the keys are extracted or decoded by the attackers. This paper proposes an efficient method of golden ratio computation in cryptography to resist information security breaches. We compare our new golden ratio method with the well-known Fibonacci sequence method. The experimental results show that our proposed method is more efficient than the Fibonacci sequence method. Our golden ratio method with infinite precision provides reliable counter measure strategy to address the escalating security attacks. View Full-Text
Keywords: golden ratio; Fibonacci sequence; Diophantine equation; cryptography; secret key; information security; efficient computation golden ratio; Fibonacci sequence; Diophantine equation; cryptography; secret key; information security; efficient computation
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MDPI and ACS Style

Overmars, A.; Venkatraman, S. An Efficient Golden Ratio Method for Secure Cryptographic Applications. Math. Comput. Appl. 2018, 23, 58. https://doi.org/10.3390/mca23040058

AMA Style

Overmars A, Venkatraman S. An Efficient Golden Ratio Method for Secure Cryptographic Applications. Mathematical and Computational Applications. 2018; 23(4):58. https://doi.org/10.3390/mca23040058

Chicago/Turabian Style

Overmars, Anthony; Venkatraman, Sitalakshmi. 2018. "An Efficient Golden Ratio Method for Secure Cryptographic Applications" Math. Comput. Appl. 23, no. 4: 58. https://doi.org/10.3390/mca23040058

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