Cryptosystems in automorphism groups of group rings of Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 157-164.

Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce a new class of public-key cryptosystems generalizing ElGamal cryptosystems to automorphism groups of group rings of abelian groups. A scheme of the basic variant of such a cryptosystem is presented and some types of attacks to it are considered.
@article{FPM_2007_13_3_a15,
     author = {S. K. Rososhek},
     title = {Cryptosystems in automorphism groups of group rings of {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {157--164},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a15/}
}
TY  - JOUR
AU  - S. K. Rososhek
TI  - Cryptosystems in automorphism groups of group rings of Abelian groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2007
SP  - 157
EP  - 164
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a15/
LA  - ru
ID  - FPM_2007_13_3_a15
ER  - 
%0 Journal Article
%A S. K. Rososhek
%T Cryptosystems in automorphism groups of group rings of Abelian groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 157-164
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a15/
%G ru
%F FPM_2007_13_3_a15
S. K. Rososhek. Cryptosystems in automorphism groups of group rings of Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 157-164. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a15/

[1] Alferov A. P., Zubov A. Yu., Kuzmin A. S., Cheremushkin A. N., Osnovy kriptografii, Gelios, M., 2001

[2] Kash F., Moduli i koltsa, Mir, M., 1981 | MR

[3] Lambek I., Koltsa i moduli, Mir, M., 1971 | MR | Zbl

[4] Feis K., Algebra: koltsa, moduli i kategorii, T. 1, Mir, M., 1977

[5] Feis K., Algebra: koltsa, moduli i kategorii, T. 2, Mir, M., 1979 | MR