BitMap-Lattice Graph Construction via Segmented Graphlets
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Solution Overview
Problem
Existing cryptographic methods face challenges in efficiently constructing and managing large BitMap graphs for secure communication, particularly in ensuring graph compliance and scalability, while maintaining security and flexibility.
Innovation Solution
The BitMap-Lattice design introduces a flexible framework where a large BitMap graph is constructed by pinning BitMap-compliant graphlets onto a canvass, allowing for arbitrary size and shape, with an open graph alphabet and dynamic graph dynamics, enabling effective graph management and multi-message ciphertext handling.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If large BitMap graphs are constructed using traditional methods, then graph size and capacity are increased, but construction complexity and management difficulty increase proportionally
Solution Approach 1:
The patent divides a large BitMap graph into multiple smaller, manageable graphlets that can be independently constructed and validated. Each graphlet is a self-contained subgraph that satisfies BitMap compliance independently, allowing parallel construction and reducing overall complexity. The large graph is formed by composing these validated graphlets together.
Solution Approach 2:
The patent performs preliminary validation of individual graphlets before they are composed into the larger graph. Each graphlet is checked for BitMap compliance in advance, ensuring that only valid components are assembled. This preliminary action prevents propagation of errors and simplifies the overall construction process.
2Reliability
If graph compliance is strictly enforced throughout the entire graph, then security is maintained, but verification complexity and processing time increase
Solution Approach 1:
The patent applies segmentation to compliance verification by checking each graphlet independently rather than validating the entire large graph at once. This divides the verification task into smaller, parallelizable units that can be processed quickly and efficiently, maintaining strict compliance checks without the quadratic complexity of full-graph validation.
Solution Approach 2:
The patent performs compliance verification as a preliminary step during graphlet construction, before composition into the larger graph. This early validation ensures that only compliant components proceed to assembly, preventing the need for repeated full-graph checks and reducing overall verification time.
3Ease of manufacture
If fixed graph structures are used, then implementation is simpler, but adaptability to different message lengths and security requirements is reduced
Solution Approach 1:
The patent implements dynamic graph construction by allowing the selection and composition of different graphlet types based on specific requirements. Rather than using a single fixed graph structure, the system can adaptively choose appropriate graphlets for different message lengths, security levels, and performance requirements, making the implementation both simple (using standardized graphlets) and highly adaptable.
Solution Approach 2:
The patent enables parameter changes by allowing different graphlet configurations (sizes, shapes, connectivity patterns) to be selected based on operational requirements. This permits the graph structure to be adjusted for different message lengths and security needs while maintaining the simplicity of standardized graphlet construction methods.
4Loss of information
If communication patterns are made visible for debugging and verification, then system behavior is transparent, but security is compromised by revealing pathways
Solution Approach 1:
The patent extracts communication patterns from the visible graph structure by encoding them in the internal topology of graphlets rather than exposing them through external graph morphology. This allows debugging and verification to access pattern information through controlled interfaces while the actual communication pathways remain hidden within the graphlet structures, maintaining security transparency separation.
Data Source
AI summary
Exploiting the wealth of information in the intricate structure of a network where vertices are interconnected through edges—to insure data integrity between communication partners, where the partners gauge the projected security through the size and complexity of the deployed shared network.