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.
Authors
- Nadav Voloch
- Noa Voloch - Bloch Raicol
Institutions
- Ruppin Academic Center (IL)
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
Funders
- Ruppin Academic Center