Geodesic
A~construction of algebraic cryptosystem over the quasigroup ring
Matematičeskie voprosy kriptografii, Tome 1 (2010), pp. 23-32

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Nowadays the most popular public key cryptosystems are RSA, the ElGamal cryptosystem and encryption schemes based on the Diffie-Hellman problem. We construct a similar cryptosystem by means of a non-associative structure, namely, quasigroup ring. Some modifications increasing the security of this scheme against possible attacks are described. Several concrete non-associative algebraic structures acceptable for cryptosystem constructions were considered and analyzed also. 
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A. B. Gribov; P. A. Zolotykh; A. V. Mikhalev. A~construction of algebraic cryptosystem over the quasigroup ring. Matematičeskie voprosy kriptografii, Tome 1 (2010), pp. 23-32. http://geodesic.mathdoc.fr/item/MVK_2010_1_a1/