A structure of Dedekind in the cryptosystem
DOI: 10.54647/mathematics11310 68 Downloads 5010 Views
Author(s)
Abstract
In this paper we consider the structure of Dedekind in some developed cryptosystems. In one case, the structure exists with respect to a key, and in the other case, the structure exists with respect to two alphabets. The second part of this paper is an appendix that considers the applications of polynomial composites and monoid domains in cryptology.
Keywords
cryptology, Dedekind domain, decryption, encryption
Cite this paper
Magdalena Jankowska, L ukasz Matysiak,
A structure of Dedekind in the cryptosystem
, SCIREA Journal of Mathematics.
Volume 7, Issue 1, February 2022 | PP. 30-37.
10.54647/mathematics11310
References
[ 1 ] | Anderson, D.D., Anderson, D.F., Zafrullah, M., Rings between D[X] and K[X], Houston J. of Mathematics, 17 (1991), 109–129. |
[ 2 ] | Anderson, D.F., Ryckaert, A., The class group of D + M, J. Pure Appl. Algebra, 52 (1988), 199–212. |
[ 3 ] | Brewer, J., Rutter, E., D + M construction with general overrings, Mich. Math. J., 23 (1976), 33–42. |
[ 4 ] | Costa, D., Mott, J., Zafrullah, M., The construction D + XDS[X], J. Algebra, 153 (1978), 423–439. |
[ 5 ] | Fontana, M., Kabbaj, S., On the Krull and valuative dimension of D + XDS[X] domains, J. Pure Appl. Algebra, 63 (1990), 231–245. |
[ 6 ] | Matysiak, L , On properties of composites and monoid domains, Accepted for printing in Advances and Applications in Mathematical Sciences, http://lukmat.ukw.edu.pl/On%20properties%20of% 20composites%20and%20monoid%20domains.pdf, (2021). |
[ 7 ] | Matysiak, L , ACCP and atomic properties of composites and monoid domains, Accepted for printing in Indian Journal of Mathematics, http://lukmat.ukw.edu.pl/ACCP%20and%20atomic%20properties% 20of%20composites%20and%20monoid%20domains.pdf, (2020). |
[ 8 ] | Matysiak, L , Generalized RSA cipher and Diffie-Hellman protocol, J. Appl. Math.& Informatics Vol.39 (2021), No. 1 - 2, pp. 93 – 103 |
[ 9 ] | Matysiak, L , Polynomial composites and certain types of fields extensions, arXiv: 2011.09904, (2021). |
[ 10 ] | Matysiak, L , K + M constructions with general overrings and relationships with polynomial composites, arXiv: 2011.12777, (2021). |
[ 11 ] | Matysiak, L , On some properties of polynomial composites, arXiv: 2104.09657, (2021). |
[ 12 ] | Zafrullah, M., The D + XDS[X] construction from GCD-domains, J. Pure Appl. Algebra, 50 (1988), 93–107. |