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Key agreement schemes based on linear groupoids
Matematičeskie voprosy kriptografii, Tome 8 (2017) no. 1, pp. 7-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[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