Gaussian Integer Coding for Secure Multimedia Base Conversion
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current data coding methods lack an efficient and secure way to represent and convert multimedia information, such as text, audio, and images, across different digital bases, particularly using complex number basis, which limits data hiding and retrieval capabilities.
Innovation Solution
A method that transforms digital information into Gaussian integers using a complex number basis, allowing for geometric relationships to derive conversion keys between different data representations, enabling secure data hiding and retrieval by projecting multimedia information onto a complex plane.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If traditional digital coding methods are used to represent multimedia information, then data can be stored and processed, but efficient and secure conversion between different digital bases and data hiding capabilities are limited
Solution Approach 1:
The patent transforms digital information between different number bases (binary, decimal, hexadecimal) and represents data as Gaussian integers in the complex plane. By changing the representation parameters and using geometric relationships, the system achieves both efficient conversion and secure data hiding capabilities
Solution Approach 2:
The patent introduces Gaussian integers as an intermediary representation between different digital bases. This intermediary form in the complex plane enables secure transformation and data hiding by using geometric relationships and conversion keys that are not directly derivable from the original digital representation
2Reliability
If complex number basis is introduced for data transformation, then data hiding and security are enhanced, but computational complexity increases
Solution Approach 1:
The patent divides the complex number transformation into discrete, manageable steps: converting digital information to Gaussian integers, determining geometric relationships, deriving conversion keys, and transforming between bases. This segmentation makes the computationally complex process more manageable and implementable
Solution Approach 2:
The patent replaces traditional mechanical digital coding operations with mathematical transformations in the complex plane. By using Gaussian integers and geometric relationships instead of conventional binary operations, the system achieves higher security with optimized computational requirements
Data Source
AI summary
A method for coding data includes: representing a first data in digital form as digital information; transforming the digital information into a first Gaussian integer; determining a relationship between the first Gaussian integer and a second Gaussian integer; and deriving, based on the determined relationship, a key for converting between the first Gaussian integer and the second Gaussian integer so as to associate the first data with a second data represented by the second Gaussian integer. The present invention also provides a system and a non-transient computer readable medium for implementing the method.