A construction of algebraic cryptosystem over the quasigroup ring

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.