Geodesic
Key agreement schemes based on linear groupoids
Matematičeskie voprosy kriptografii, Tome 8 (2017) no. 1, pp. 7-12 
A. V. Baryshnikov; S. Yu. Katyshev. Key agreement schemes based on linear groupoids. Matematičeskie voprosy kriptografii, Tome 8 (2017) no. 1, pp. 7-12. http://geodesic.mathdoc.fr/item/MVK_2017_8_1_a1/
@article{MVK_2017_8_1_a1,
     author = {A. V. Baryshnikov and S. Yu. Katyshev},
     title = {Key agreement schemes based on linear groupoids},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {7--12},
     year = {2017},
     volume = {8},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MVK_2017_8_1_a1/}
}
TY  - JOUR
AU  - A. V. Baryshnikov
AU  - S. Yu. Katyshev
TI  - Key agreement schemes based on linear groupoids
JO  - Matematičeskie voprosy kriptografii
PY  - 2017
SP  - 7
EP  - 12
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MVK_2017_8_1_a1/
LA  - en
ID  - MVK_2017_8_1_a1
ER  - 
%0 Journal Article
%A A. V. Baryshnikov
%A S. Yu. Katyshev
%T Key agreement schemes based on linear groupoids
%J Matematičeskie voprosy kriptografii
%D 2017
%P 7-12
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/MVK_2017_8_1_a1/
%G en
%F MVK_2017_8_1_a1

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

Authors present a study of the possibility to use special class of nonassociative groupoids (called linear) for the implementation of a key exchange protocol based on a generalization of Diffie–Hellmann algorithm. The necessity to use the power commutation and effective power calculation properties is proved. A specific example of linear groupoid over the elliptic curve is described.

[1] Discrete Math. Appl., 25:1 (2015), 9–24 | DOI | DOI | MR | Zbl

[2] Discrete Math. Appl., 19:2 (2009), 173–190 | DOI | DOI | MR | MR | Zbl

[3] Diffie W., Hellman M. E., “New directions in cryptography”, IEEE Trans. Inf. Theory, 22:6 (1976), 644–654 | DOI | MR | Zbl

[4] Hellman M., “A cryptanalytic time-memory trade-off”, IEEE Trans. Inf. Theory, 26:4 (1980), 401–406 | DOI | MR | Zbl

[5] Silverman J., The Arithmetic of the Elliptic Curves, Springer, Heidelberg etc., 1986 | MR | Zbl