Research Article Open Access

Fractal (Mandelbrot and Julia) Zero-Knowledge Proof of Identity

Mohammad Ahmad Alia and Azman Bin Samsudin

Abstract

We proposed a new zero-knowledge proof of identity protocol based on Mandelbrot and Julia Fractal sets. The Fractal based zero-knowledge protocol was possible because of the intrinsic connection between the Mandelbrot and Julia Fractal sets. In the proposed protocol, the private key was used as an input parameter for Mandelbrot Fractal function to generate the corresponding public key. Julia Fractal function was then used to calculate the verified value based on the existing private key and the received public key. The proposed protocol was designed to be resistant against attacks. Fractal based zero-knowledge protocol was an attractive alternative to the traditional number theory zero-knowledge protocol.

Journal of Computer Science
Volume 4 No. 5, 2008, 408-414

DOI: https://doi.org/10.3844/jcssp.2008.408.414

Submitted On: 13 March 2008 Published On: 31 May 2008

How to Cite: Alia, M. A. & Samsudin, A. B. (2008). Fractal (Mandelbrot and Julia) Zero-Knowledge Proof of Identity. Journal of Computer Science, 4(5), 408-414. https://doi.org/10.3844/jcssp.2008.408.414

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Keywords

  • Zero-knowledge
  • cryptography
  • fractal
  • mandelbrot fractal set and julia fractal set