Fractal Encryption Silos

Abstract

Abstract The core fractal mapping is generated by scanning a Mandelbrot set to identify suitable fractal transformation regions. Suitable fractal regions typically avoid the interior and other regions of the Mandelbrot set that do not return from iteration unless a maximum depth is specified. Suitable regions can also exclude regions that iterate beyond a given depth. The resulting region mapping generate a series of x, y mapping coordinates that are stored in an numeric array. The region is selected as part of the ‘key to fractal portal’ mapping. The fractal portal is the starting location from which fractal streams are iteratively generated. In addition, a fixed x and y offset is used to obfuscate the fractal portal location.

Description

This is a Patent of Addition to PCT / AU2022 / 050734 (base patent). The new element is that of multiple customised core fractal mappings. The purpose of this patent is to manifest Fractal Encryption Silos where each Silo mapping compartmentalises ciphers at the encryption level. BACKGROUND Several products and encryption technologies have been developed successfully implementing the base patent. These have proven a significant new cryptographic art and science using a consistent core fractal mapping. They have also proven to be Quantum Safe and are now claimed Impenetrable by any computational means. The core fractal mapping is generated by scanning the Mandelbrot to identify suitable fractal transformation regions. Suitable fractal regions typically avoid the interior and other regions of the Mandelbrot set that do not return from iteration unless a maximum depth is specified. Suitable regions can also exclude regions that iterate beyond a given depth. The resulting region mapping generate a series of x,y mapping coordinates that are stored in an numeric array. The region is selected as part of the ‘key to fractal portal’ mapping. The fractal portal is the starting location from which fractal streams are iteratively generated. In addition, a fixed x and y offset is used to obfuscate the fractal portal location. 2024287250   30 Dec 2024 INVENTION This patent of addition relates to Claim 10 of the base patent: “A system wherein the one or more processing devices are configured to generate a lookup table of optimised vector regions within a defined complex number spatial region by: a) performing an x,y vector scan of the complex number spatial region; and, b) measuring complexity at each x,y vector using the defined complex number formula; and i)   the complexity is measured by iteration depth; or, ii)  the complexity is measured by properties of the fractal value.” This patent of addition introduces the concept of variations in the fractal region lookup table and variations in x,y offsets to customise an instance of the present fractal encryption methodology. We refer to this as a Fractal Encryption Silo, or Silo for short. There are numerous methods of generating custom Silo lookup table vectors, including: a) A re-ordering of the original linear vector scan lookup table b) Random offsets to the original linear vector scan lookup table’s vectors c) A fully randomized Mandelbrot scan for optimsed vector regions d) A combination of the above In addition each Silo has a high precision (28 places after the decimal point or larger) x and y offset that is used to shift the fractal portal starting position and / or all fractal stream iteration computations. ADVANTAGES The advantages to implementing Fractal Encryption Silos include: • Silos deliver encryption level compartmentalisation. •   A cipher encrypted with a custom Silo can only be decrypted with the same Silo. •   A cipher encrypted with a custom Silo cannot be decrypted by any other custom Silo. • Custom Silo mappings can be encrypted (ideally fractal encryption). • Silos can be generated and secured in a hierarchical manner. • Silos generate user, application, department and organizational security compartmentalisation. • Dynamic Silos can be used for private key synchronisation that eliminates public key cryptography. Silos are a very powerful and flexible feature of fractal transformation, the cryptographic subject of the parent patent.

Claims

CLAIM 1In addition and according to the base patent, implementation of customised vector region lookup tables.CLAIM 2In addition and according to the base patent, implementation of customised x and y offsets for fractal stream generation.