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Privacy-Preserving Parallel Large-Scale Matrix Determinant Computation for Multi-Edge Networks

2024

Prajwal Panth, Dr. Prasant Kumar Pattnaik

Matrix determinant computation (MDC) is crucial in cryptography, control systems, and machine learning but remains computationally intensive, especially in resource-constrained environments like IoT. Existing privacy-preserving MDC protocols rely on two edge servers, limiting scalability and efficiency in large-scale applications. We propose a novel framework for Privacy-Preserving Parallel MDC utilizing N > 2 distributed edge servers. The framework introduces Composite Element Distortion (CED), a lightweight encryption method that combines Element-wise Obfuscation (EWO) and Panth Rotation Theorem (PRT)-based Obfuscation. Additionally, the Flip Invariance Theorem (FIT) and Zero Sub-Matrix Theorem (ZSM) are introduced to enhance singularity detection without full determinant computation. The framework includes lightweight authentication, decryption, and parallel LU decomposition to reduce computational complexity. Simulation results demonstrate that the proposed solution achieves secure, scalable, and efficient MDC, making it suitable for real-time applications in IoT and other fields.


This paper is currently under peer review for potential publication in IEEE Transactions on Industrial Informatics.
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Privacy-Preserving Scalable Scalar Product Computation for Distributed Systems

2025

Prajwal Panth, Dr. Prasant Kumar Pattnaik

Privacy-preserving collaborative computation is fundamental to modern distributed systems, particularly in privacy-sensitive applications such as federated learning, secure IoT analytics, and healthcare data processing. This paper introduces the Privacy-Preserving Collaborative Scalar Product (PPCSP) framework, a novel solution for securely computing the sum of element-wise products of private vectors across distributed clients in a decentralized network. The framework employs a hierarchical architecture with dynamically assigned roles, including Manager, Captains, and Members, supported by a Coordination Server and a Computation Server. A novel perturbation-based privacy mechanism ensures that neither intermediate results nor the final scalar product can be inferred by any participant, including the Computation Server. Client authentication using Universally Unique Identifier (UUID) and restricted communication protocols further enhance security. The PPCSP Framework is evaluated on its computational efficiency, scalability, verification and privacy-preserving capabilities. Theoretical analysis demonstrates strong privacy guarantees and correctness, while simulations validate the framework's efficiency and scalability in large-scale deployments. The framework significantly reduces communication overhead and enhances flexibility compared to existing methods, making it suitable for real-world distributed systems requiring secure collaborative computation.

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This paper has been finalized and will be submitted shortly after the KIIT semester mid-term exams.

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Presentations & Research Showcases

This section highlights the events and platforms where I presented my work during various science competitions up to Grade 10. Each year, I chose a theme and developed projects that combined practical models, experimental setups, and theoretical studies with supporting research. These presentations allowed me to share my ideas and findings with a broader audience.


Interactive Workshop on Science and Technology: Present Scenario, Future Possibilities, and Challenges in Province-5, Nepal

Organizer: Province Government, Nepal

June 15, 2019

Presented my research and projects on Global Warming and Pollution Control.

Shree Shanti Namuma Secondary School

Tilottama-05, Nepal

February 10, 2019

Showcased my projects centered around the theme of Smart Technologies for Everyday Excellence.

Tilottama Industrial Trade Fair, Agriculture and Tourism Festival

Tilottama-05, Nepal

Nov. 22 to Dec. 4, 2018

Showcased my projects centered around the theme of Disaster Resilience and Prevention.



Yearly Project Themes

Inspired by a suggestion from my art teacher, Govinda Aryal, in 2073 BS, I began focusing my projects on trending topics. While I explored various subjects, these themes primarily guided my work and shaped my presentations in science competitions.


2070 BS - Mobility Solutions

June 15, 2019

Focused on innovative transportation models, emphasizing efficiency and development in mobility.

2071 BS - Smart Machines for a Better Future

February 10, 2019

Explored mechanized innovations, automation, and sustainable energy technologies to improve daily life.

2072 BS - Clay-Based Explorations in Biology & Environment

Nov. 22 to Dec. 4, 2018

Created models using clay to illustrate biological concepts and environmental science, promoting hands-on learning.

2073 BS - Agricultural Development

Nov. 22 to Dec. 4, 2018

2074 BS - Disaster Resilience and Prevention

Nov. 22 to Dec. 4, 2018

2075 BS - Smart Technologies for Everyday Excellence

Nov. 22 to Dec. 4, 2018

2076 BS - No Project

Nov. 22 to Dec. 4, 2018

Took a break from projects to prepare for SEE (Grade 10 final exams).

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This research is currently under review. For access, please contact:

Email: prajwal.panth21@gmail.com

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