Key exchange protocols over noncommutative rings. The case of End(Zp × Zp2)

In this paper we introduce some key exchange protocols over noncommutative rings. These protocols use some polynomials with coefficients in the center of the ring as part of the private keys. We give some examples over the ring End(Zp × Zp2), where p is a prime number. We also give a security analysis of the proposed protocols and conclude that the only possible attack is by brute force.Partially supported by Spanish grant MTM2011-24858 of the Ministerio de Economía y Competitividad of the Gobierno de España