A Cryptographic Encryption Scheme based on a Pythagorean Triplets Manufacturing Formula

In the past decades cryptography and specifically encryption schemes were vastly researched. This is due to the developments in technology, communication, and the rising needs to use better, more resilient encryption for different types of attacks, that are getting more sophisticated and use much more computational power than before. For these encryption schemes, there is usually a use of mathematical computation, and different problems that are hard to solve, thus creating stronger schemes. There has been a use also in different classical problems of mathematics like computing prime numbers, using elliptic curves and lattices. In this paper we suggest a novel safe encryption scheme, that is based on a formula for manufacturing Pythagorean triplets (where both perpendiculars and hypotenuse are integers). We present the decryption and encryption formulas along with several examples of their operation and encoding results we achieved with the algorithm.

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Publication Details

Published
2024-09-19
DOI
https://doi.org/10.1109/acit62333.2024.10712620
Citations
1
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.78

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article

A Cryptographic Encryption Scheme based on a Pythagorean Triplets Manufacturing Formula

Nadav Voloch, Noa Voloch - Bloch Raicol
1 citations
Cryptography and Residue Arithmetic
0.78
article

A Cryptographic Encryption Scheme based on a Pythagorean Triplets Manufacturing Formula

Nadav Voloch, Noa Voloch - Bloch Raicol
article en
1 citations

Abstract

In the past decades cryptography and specifically encryption schemes were vastly researched. This is due to the developments in technology, communication, and the rising needs to use better, more resilient encryption for different types of attacks, that are getting more sophisticated and use much more computational power than before. For these encryption schemes, there is usually a use of mathematical computation, and different problems that are hard to solve, thus creating stronger schemes. There has been a use also in different classical problems of mathematics like computing prime numbers, using elliptic curves and lattices. In this paper we suggest a novel safe encryption scheme, that is based on a formula for manufacturing Pythagorean triplets (where both perpendiculars and hypotenuse are integers). We present the decryption and encryption formulas along with several examples of their operation and encoding results we achieved with the algorithm.

Vol. 5
Ruppin Academic Center (IL)
Ruppin Academic Center
Openalex Percentile: Top 20%
Cryptography and Residue Arithmetic
0.78
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