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Related Experiment Video

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Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

An adaptive cryptosystem on a Finite Field.

Awnon Bhowmik¹, Unnikrishnan Menon²

¹Department of Mathematics, The City College of New York, New York, NY, United States of America.

Peerj. Computer Science

|September 9, 2021

Summary

This study presents a novel adaptive block encryption scheme using a Galois Field trapdoor function for enhanced security and speed. The self-adjusting cryptosystem optimizes parameters autonomously, improving data protection.

Keywords:

Autonomous encryption scheme Finite field Galois Field Prime number theorem Product Exponent Modulo Threshold cryptography

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Area of Science:

Cryptography
Number Theory
Computer Science

Background:

Modern cryptosystems rely on sophisticated trapdoor functions for security.
Advancements in computational power necessitate more robust encryption methods.
Finite field operations are crucial for efficient cryptographic algorithms.

Purpose of the Study:

Introduce a novel adaptive block encryption scheme.
Develop a cryptosystem with a robust Galois Field trapdoor function.
Enhance security and operational speed in data encryption.

Main Methods:

Utilizing product, exponent, and modulo operations within a finite field.
Implementing an innovative trapdoor function in the Galois Field.
Leveraging the Prime Number Theorem for enhanced security against adversaries.
Developing a self-adjusting cryptosystem with autonomous parameter optimization.

Main Results:

Demonstrated superior speed and security due to the Galois Field trapdoor function.
Showcased an exponential increase in security with larger plaintext lengths.
Confirmed feasible runtime operations despite increased security.
Experimental analysis revealed trends and relationships between cryptosystem parameters.

Conclusions:

The proposed adaptive block encryption scheme offers a significant advancement in cryptographic security and efficiency.
The autonomous parameter optimization enhances user experience and security levels.
The system's foundation in Galois Field mathematics and the Prime Number Theorem ensures robust protection against modern threats.