@Article{EAJAM-13-177, author = {Matysiak , ƁukaszChrzaniuk , MonikaDuda , MaximilianHanc , MartaKowalski , SebastianSkotnicka , Zoja and Waldoch , Martin}, title = {Cryptographic Systems Based on an Algebraic Structure}, journal = {East Asian Journal on Applied Mathematics}, year = {2023}, volume = {13}, number = {1}, pages = {177--193}, abstract = {

In this paper cryptographic systems based on the Dedekind and Galois structures are considered. We supplement the created cryptosystems based on the Dedekind structure with programs written in C++ and discuss the inner structure of Galois in cryptography. It is well-known that such a structure is based on finite fields only. Our results reveals something more internal. The final section contains additional information about square-free and radical factorizations in monoids consisting in searching for a minimal list of counterexamples. As an open problem, we leave creating a program that would generate such a list and how to use such a list to create a cryptosystem.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.240522.200822 }, url = {http://global-sci.org/intro/article_detail/eajam/21308.html} }