Secure Parallel Determinant Computation for Edge Environments
The Secure Parallel Determinant Computation (SPDC) framework tackles the issue of matrix determinant computation (MDC) within edge computing and IoT settings. Conventional algorithms exhibit cubic complexity, rendering them ineffective for real-time operations on devices with limited resources. By utilizing Composite Element Distortion (CED), a streamlined encryption technique that merges Element-wise Obfuscation (EWO) and the Panth Rotation Theorem (PRT), SPDC facilitates privacy-preserving MDC across N distributed edge servers while maintaining the properties of the determinant. This framework offers robust security assurances for use in areas such as control systems, cryptography, and machine learning.
Key facts
- arXiv:2605.22039v1
- Matrix Determinant Computation (MDC) is critical for control systems, cryptography, and machine learning.
- Traditional determinant algorithms have cubic complexity.
- SPDC framework enables privacy-preserving MDC across N distributed edge servers.
- Composite Element Distortion (CED) combines Element-wise Obfuscation (EWO) and Panth Rotation Theorem (PRT).
- CED conceals both structural and numerical matrix content while preserving determinant properties.
- SPDC targets edge computing and Internet of Things (IoT) environments.
- The framework provides strong security guarantees.
Entities
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