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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Theory and Algorithms

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City University of New York (CUNY)

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2021

Finite field

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Full-Text Articles in Physical Sciences and Mathematics

An Adaptive Cryptosystem On A Finite Field, Awnon Bhowmik, Unnikrishnan Menon Aug 2021

An Adaptive Cryptosystem On A Finite Field, Awnon Bhowmik, Unnikrishnan Menon

Publications and Research

Owing to mathematical theory and computational power evolution, modern cryptosystems demand ingenious trapdoor functions as their foundation to extend the gap between an enthusiastic interceptor and sensitive information. This paper introduces an adaptive block encryption scheme. This system is based on product, exponent, and modulo operation on a finite field. At the heart of this algorithm lies an innovative and robust trapdoor function that operates in the Galois Field and is responsible for the superior speed and security offered by it. Prime number theorem plays a fundamental role in this system, to keep unwelcome adversaries at bay. This is a …